Create the plot for the probability distribution function for this random variable.

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Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks

Answer 1

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Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

Chapter 5, Problem 28P

a.

To determine

Create the plot for the probability distribution function for this random variable.

b.

To determine

Find the probability that the random variable will assume a value between 50 and 250.

c.

To determine

Find the probability that the random variable will assume a value greater than 300.

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Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks

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

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Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

Chapter 5, Problem 28P

a.

To determine

Create the plot for the probability distribution function for this random variable.

b.

To determine

Find the probability that the random variable will assume a value between 50 and 250.

c.

To determine

Find the probability that the random variable will assume a value greater than 300.

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Answer 3

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Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

Chapter 5, Problem 28P

a.

To determine

Create the plot for the probability distribution function for this random variable.

b.

To determine

Find the probability that the random variable will assume a value between 50 and 250.

c.

To determine

Find the probability that the random variable will assume a value greater than 300.

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Answer 4

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Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

Chapter 5, Problem 28P

a.

To determine

Create the plot for the probability distribution function for this random variable.

b.

To determine

Find the probability that the random variable will assume a value between 50 and 250.

c.

To determine

Find the probability that the random variable will assume a value greater than 300.

Expert Solution & Answer

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Answer 5

Chapter 5, Problem 28P

a.

To determine

Create the plot for the probability distribution function for this random variable.

b.

To determine

Find the probability that the random variable will assume a value between 50 and 250.

c.

To determine

Find the probability that the random variable will assume a value greater than 300.

Answer 6

Chapter 5, Problem 28P

a.

To determine

Create the plot for the probability distribution function for this random variable.

Answer 7

Chapter 5, Problem 28P

a.

To determine

Create the plot for the probability distribution function for this random variable.

Answer 8

b.

To determine

Find the probability that the random variable will assume a value between 50 and 250.

Answer 9

b.

To determine

Find the probability that the random variable will assume a value between 50 and 250.

Answer 10

c.

To determine

Find the probability that the random variable will assume a value greater than 300.

Answer 11

c.

To determine

Find the probability that the random variable will assume a value greater than 300.

Answer 12

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Create the plot for the probability distribution function for this random variable.

Solution Summary: The author explains how to plot the probability distribution function for a random variable using EXCEL: Select the data range and select Insert.

Create the plot for the probability distribution function for this random variable.

Find the probability that the random variable will assume a value between 50 and 250.

Find the probability that the random variable will assume a value greater than 300.

Chapter 5 Solutions