Random variable.

Question

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Answer 1

Question

Chapter 6, Problem 1RE

(a)

To determine

Random variable.

(a)

Expert Solution

Answer to Problem 1RE

Solution: It is a discrete random variable.

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of students is countable, so it is a discrete random variable.

To determine

To obtain: The number of randomly selected students of the class.

Expert Solution

Answer to Problem 1RE

Solution: The possible values of the random variable can be X=1, 2, 3, and so on.

Explanation of Solution

Hence, the number of students is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

(b)

To determine

Random variable.

(b)

Expert Solution

Answer to Problem 1RE

Solution: It is continuous random variable.

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The number of snowfalls can take any value, so it is a continuous random variable.

To determine

To obtain: The amount of snowfalls.

Expert Solution

Answer to Problem 1RE

Solution: The possible quantity of snowfalls can take any value from 0 to infinity inches.

Explanation of Solution

Hence, the quantity of snowfalls is not provided in the problem, so it can take any values from 0 to infinity inches.

(c)

To determine

Random variable.

(c)

Expert Solution

Answer to Problem 1RE

Solution: It is a continuous random variable.

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The flight time can take any value, so it is a continuous random variable.

To determine

To obtain: The flight time.

Expert Solution

Answer to Problem 1RE

Solution: The time of flight can take any value from 00:00:00 to 24:00:00 hours.

Explanation of Solution

Hence, the flight times are not provided in the problem, so it can take any values from 00:00:00 to 24:00:00 hours.

(d)

To determine

Random variable.

(d)

Expert Solution

Answer to Problem 1RE

Solution: It is discrete random variable.

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of basketball points is countable, so it is a discrete random variable.

To determine

To obtain: Basketball points.

Expert Solution

Answer to Problem 1RE

Solution: The possible number of basketball points in any day can be X=1, 2, 3, and so on.

Explanation of Solution

Hence, the number of basketball points is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

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Students have asked these similar questions

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28. (a) Under what conditions do we say that two random variables X and Y are independent? (b) Demonstrate that if X and Y are independent, then it follows that E(XY) = E(X)E(Y); (e) Show by a counter example that the converse of (ii) is not necessarily true.

1. Let X and Y be random variables and suppose that A = F. Prove that Z XI(A)+YI(A) is a random variable.

Answer 2

Question

Chapter 6, Problem 1RE

(a)

To determine

Random variable.

(a)

Expert Solution

Answer to Problem 1RE

Solution: It is a discrete random variable.

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of students is countable, so it is a discrete random variable.

To determine

To obtain: The number of randomly selected students of the class.

Expert Solution

Answer to Problem 1RE

Solution: The possible values of the random variable can be X=1, 2, 3, and so on.

Explanation of Solution

Hence, the number of students is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

(b)

To determine

Random variable.

(b)

Expert Solution

Answer to Problem 1RE

Solution: It is continuous random variable.

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The number of snowfalls can take any value, so it is a continuous random variable.

To determine

To obtain: The amount of snowfalls.

Expert Solution

Answer to Problem 1RE

Solution: The possible quantity of snowfalls can take any value from 0 to infinity inches.

Explanation of Solution

Hence, the quantity of snowfalls is not provided in the problem, so it can take any values from 0 to infinity inches.

(c)

To determine

Random variable.

(c)

Expert Solution

Answer to Problem 1RE

Solution: It is a continuous random variable.

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The flight time can take any value, so it is a continuous random variable.

To determine

To obtain: The flight time.

Expert Solution

Answer to Problem 1RE

Solution: The time of flight can take any value from 00:00:00 to 24:00:00 hours.

Explanation of Solution

Hence, the flight times are not provided in the problem, so it can take any values from 00:00:00 to 24:00:00 hours.

(d)

To determine

Random variable.

(d)

Expert Solution

Answer to Problem 1RE

Solution: It is discrete random variable.

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of basketball points is countable, so it is a discrete random variable.

To determine

To obtain: Basketball points.

Expert Solution

Answer to Problem 1RE

Solution: The possible number of basketball points in any day can be X=1, 2, 3, and so on.

Explanation of Solution

Hence, the number of basketball points is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

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Answer 3

Question

Chapter 6, Problem 1RE

(a)

To determine

Random variable.

(a)

Expert Solution

Answer to Problem 1RE

Solution: It is a discrete random variable.

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of students is countable, so it is a discrete random variable.

To determine

To obtain: The number of randomly selected students of the class.

Expert Solution

Answer to Problem 1RE

Solution: The possible values of the random variable can be X=1, 2, 3, and so on.

Explanation of Solution

Hence, the number of students is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

(b)

To determine

Random variable.

(b)

Expert Solution

Answer to Problem 1RE

Solution: It is continuous random variable.

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The number of snowfalls can take any value, so it is a continuous random variable.

To determine

To obtain: The amount of snowfalls.

Expert Solution

Answer to Problem 1RE

Solution: The possible quantity of snowfalls can take any value from 0 to infinity inches.

Explanation of Solution

Hence, the quantity of snowfalls is not provided in the problem, so it can take any values from 0 to infinity inches.

(c)

To determine

Random variable.

(c)

Expert Solution

Answer to Problem 1RE

Solution: It is a continuous random variable.

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The flight time can take any value, so it is a continuous random variable.

To determine

To obtain: The flight time.

Expert Solution

Answer to Problem 1RE

Solution: The time of flight can take any value from 00:00:00 to 24:00:00 hours.

Explanation of Solution

Hence, the flight times are not provided in the problem, so it can take any values from 00:00:00 to 24:00:00 hours.

(d)

To determine

Random variable.

(d)

Expert Solution

Answer to Problem 1RE

Solution: It is discrete random variable.

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of basketball points is countable, so it is a discrete random variable.

To determine

To obtain: Basketball points.

Expert Solution

Answer to Problem 1RE

Solution: The possible number of basketball points in any day can be X=1, 2, 3, and so on.

Explanation of Solution

Hence, the number of basketball points is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

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Answer 4

Question

Chapter 6, Problem 1RE

(a)

To determine

Random variable.

(a)

Expert Solution

Answer to Problem 1RE

Solution: It is a discrete random variable.

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of students is countable, so it is a discrete random variable.

To determine

To obtain: The number of randomly selected students of the class.

Expert Solution

Answer to Problem 1RE

Solution: The possible values of the random variable can be X=1, 2, 3, and so on.

Explanation of Solution

Hence, the number of students is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

(b)

To determine

Random variable.

(b)

Expert Solution

Answer to Problem 1RE

Solution: It is continuous random variable.

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The number of snowfalls can take any value, so it is a continuous random variable.

To determine

To obtain: The amount of snowfalls.

Expert Solution

Answer to Problem 1RE

Solution: The possible quantity of snowfalls can take any value from 0 to infinity inches.

Explanation of Solution

Hence, the quantity of snowfalls is not provided in the problem, so it can take any values from 0 to infinity inches.

(c)

To determine

Random variable.

(c)

Expert Solution

Answer to Problem 1RE

Solution: It is a continuous random variable.

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The flight time can take any value, so it is a continuous random variable.

To determine

To obtain: The flight time.

Expert Solution

Answer to Problem 1RE

Solution: The time of flight can take any value from 00:00:00 to 24:00:00 hours.

Explanation of Solution

Hence, the flight times are not provided in the problem, so it can take any values from 00:00:00 to 24:00:00 hours.

(d)

To determine

Random variable.

(d)

Expert Solution

Answer to Problem 1RE

Solution: It is discrete random variable.

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of basketball points is countable, so it is a discrete random variable.

To determine

To obtain: Basketball points.

Expert Solution

Answer to Problem 1RE

Solution: The possible number of basketball points in any day can be X=1, 2, 3, and so on.

Explanation of Solution

Hence, the number of basketball points is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

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Answer 5

Chapter 6, Problem 1RE

(a)

To determine

Random variable.

(a)

Expert Solution

Answer to Problem 1RE

Solution: It is a discrete random variable.

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of students is countable, so it is a discrete random variable.

To determine

To obtain: The number of randomly selected students of the class.

Expert Solution

Answer to Problem 1RE

Solution: The possible values of the random variable can be X=1, 2, 3, and so on.

Explanation of Solution

Hence, the number of students is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

(b)

To determine

Random variable.

(b)

Expert Solution

Answer to Problem 1RE

Solution: It is continuous random variable.

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The number of snowfalls can take any value, so it is a continuous random variable.

To determine

To obtain: The amount of snowfalls.

Expert Solution

Answer to Problem 1RE

Solution: The possible quantity of snowfalls can take any value from 0 to infinity inches.

Explanation of Solution

Hence, the quantity of snowfalls is not provided in the problem, so it can take any values from 0 to infinity inches.

(c)

To determine

Random variable.

(c)

Expert Solution

Answer to Problem 1RE

Solution: It is a continuous random variable.

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The flight time can take any value, so it is a continuous random variable.

To determine

To obtain: The flight time.

Expert Solution

Answer to Problem 1RE

Solution: The time of flight can take any value from 00:00:00 to 24:00:00 hours.

Explanation of Solution

Hence, the flight times are not provided in the problem, so it can take any values from 00:00:00 to 24:00:00 hours.

(d)

To determine

Random variable.

(d)

Expert Solution

Answer to Problem 1RE

Solution: It is discrete random variable.

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of basketball points is countable, so it is a discrete random variable.

To determine

To obtain: Basketball points.

Expert Solution

Answer to Problem 1RE

Solution: The possible number of basketball points in any day can be X=1, 2, 3, and so on.

Explanation of Solution

Hence, the number of basketball points is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

Answer 6

Chapter 6, Problem 1RE

(a)

To determine

Random variable.

(a)

Expert Solution

Answer to Problem 1RE

Solution: It is a discrete random variable.

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of students is countable, so it is a discrete random variable.

Answer 7

Chapter 6, Problem 1RE

(a)

To determine

Random variable.

Answer 8

(a)

Expert Solution

Answer to Problem 1RE

Solution: It is a discrete random variable.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of students is countable, so it is a discrete random variable.

Answer 13

To determine

To obtain: The number of randomly selected students of the class.

Expert Solution

Answer to Problem 1RE

Solution: The possible values of the random variable can be X=1, 2, 3, and so on.

Explanation of Solution

Hence, the number of students is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

Answer 14

To determine

To obtain: The number of randomly selected students of the class.

Answer 15

Expert Solution

Answer to Problem 1RE

Solution: The possible values of the random variable can be X=1, 2, 3, and so on.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Hence, the number of students is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

Answer 20

(b)

To determine

Random variable.

(b)

Expert Solution

Answer to Problem 1RE

Solution: It is continuous random variable.

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The number of snowfalls can take any value, so it is a continuous random variable.

Answer 21

(b)

To determine

Random variable.

Answer 22

(b)

Expert Solution

Answer to Problem 1RE

Solution: It is continuous random variable.

Answer 23

(b)

Expert Solution

Answer 24

(b)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The number of snowfalls can take any value, so it is a continuous random variable.

Answer 27

To determine

To obtain: The amount of snowfalls.

Expert Solution

Answer to Problem 1RE

Solution: The possible quantity of snowfalls can take any value from 0 to infinity inches.

Explanation of Solution

Hence, the quantity of snowfalls is not provided in the problem, so it can take any values from 0 to infinity inches.

Answer 28

To determine

To obtain: The amount of snowfalls.

Answer 29

Expert Solution

Answer to Problem 1RE

Solution: The possible quantity of snowfalls can take any value from 0 to infinity inches.

Answer 30

Expert Solution

Answer 31

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

Hence, the quantity of snowfalls is not provided in the problem, so it can take any values from 0 to infinity inches.

Answer 34

(c)

To determine

Random variable.

(c)

Expert Solution

Answer to Problem 1RE

Solution: It is a continuous random variable.

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The flight time can take any value, so it is a continuous random variable.

Answer 35

(c)

To determine

Random variable.

Answer 36

(c)

Expert Solution

Answer to Problem 1RE

Solution: It is a continuous random variable.

Answer 37

(c)

Expert Solution

Answer 38

(c)

Expert Solution

Answer 39

Expert Solution

Answer 40

Explanation of Solution

A variable where data can take many values infinitely is known as a continuous random variable. The flight time can take any value, so it is a continuous random variable.

Answer 41

To determine

To obtain: The flight time.

Expert Solution

Answer to Problem 1RE

Solution: The time of flight can take any value from 00:00:00 to 24:00:00 hours.

Explanation of Solution

Hence, the flight times are not provided in the problem, so it can take any values from 00:00:00 to 24:00:00 hours.

Answer 42

To determine

To obtain: The flight time.

Answer 43

Expert Solution

Answer to Problem 1RE

Solution: The time of flight can take any value from 00:00:00 to 24:00:00 hours.

Answer 44

Expert Solution

Answer 45

Expert Solution

Answer 46

Expert Solution

Answer 47

Explanation of Solution

Hence, the flight times are not provided in the problem, so it can take any values from 00:00:00 to 24:00:00 hours.

Answer 48

(d)

To determine

Random variable.

(d)

Expert Solution

Answer to Problem 1RE

Solution: It is discrete random variable.

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of basketball points is countable, so it is a discrete random variable.

Answer 49

(d)

To determine

Random variable.

Answer 50

(d)

Expert Solution

Answer to Problem 1RE

Solution: It is discrete random variable.

Answer 51

(d)

Expert Solution

Answer 52

(d)

Expert Solution

Answer 53

Expert Solution

Answer 54

Explanation of Solution

A variable with only countable number of values is known as a discrete random variable. The number of basketball points is countable, so it is a discrete random variable.

Answer 55

To determine

To obtain: Basketball points.

Expert Solution

Answer to Problem 1RE

Solution: The possible number of basketball points in any day can be X=1, 2, 3, and so on.

Explanation of Solution

Hence, the number of basketball points is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

Answer 56

To determine

To obtain: Basketball points.

Answer 57

Expert Solution

Answer to Problem 1RE

Solution: The possible number of basketball points in any day can be X=1, 2, 3, and so on.

Answer 58

Expert Solution

Answer 59

Expert Solution

Answer 60

Expert Solution

Answer 61

Explanation of Solution

Hence, the number of basketball points is not provided in the problem, so it can take any values from 1, 2, 3, and so on.

Answer 62

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Random variable.

Concept explainers

Videos

Random variable.

Answer to Problem 1RE

Explanation of Solution

To obtain: The number of randomly selected students of the class.

Answer to Problem 1RE

Explanation of Solution

Random variable.

Answer to Problem 1RE

Explanation of Solution

To obtain: The amount of snowfalls.

Answer to Problem 1RE

Explanation of Solution

Random variable.

Answer to Problem 1RE

Explanation of Solution

To obtain: The flight time.

Answer to Problem 1RE

Explanation of Solution

Random variable.

Answer to Problem 1RE

Explanation of Solution

To obtain: Basketball points.

Answer to Problem 1RE

Explanation of Solution

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Chapter 6 Solutions