The probability distribution of the random variable X is given in the following table. Random variable, x -2 -1 0 1 2 3 P(X = x) 0.10 0.15 0.05 0.20 0.15 0.35 Find the following probabilities. (a) P(X = 0) (b) P(X ≤ 0) (c) P(-1 < X ≤ 4) (d) P(X ≥ 1)

The probability distribution of the random variable X is given in the following table. Random variable, x -2 -1 0 1 2 3 P(X = x) 0.10 0.15 0.05 0.20 0.15 0.35 Find the following probabilities. (a) P(X = 0) (b) P(X ≤ 0) (c) P(-1 < X ≤ 4) (d) P(X ≥ 1)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: What value for P(4) will make this probability distribution valid? P(X) 0.1 0.25 0.52 0.26

A: We want to find value of P(4)

Q: Let X be a discrete random variable with the following probability distribution: X = 0 | P(X = 0) =…

A: The discrete value of x and their probability are, X 0 1 2 3 4 5 6 P(X=x) 0.1 0.15 0.2 0.25…

Q: Consider the table below gives the probabilities of the distribution of random variable X. Value of…

A: Given b=0.15 c=0.14

Q: Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in…

A: According to the Bartleby guidelines experts solve only one question and a maximum of three sub…

Q: The probability distribution of the random variable X is shown in the accompanying table. x −5…

A: it is provided that,P(-5)= 0.17 P(-3)= 0.12P(-2)= 0.31P(0)= 0.17P(2) = 0.13P(3) =…

Q: The plot to the right shows the probability function of a random variable Z. Estimate the needed…

A: For the given plot Find P ( z >=3 or z =-1 ) = ? P ( z >=3 ) +P( z =-1 ) = P( z = 3 ) + P( Z…

Q: Data is drawn from a binomial (5, 0) distribution, where is unknown. Here is the table of…

Q: Table 2-8 shows the distribution function of a random variable X. Determine (13) the probability…

Q: X 1 p(x) (a) What is P(x = 4)? P(x = 4) = 2 (b) What is P(x ≤ 4)? P(x ≤ 4) = 3 4 5 6 0.04 0.05 0.07…

A: Given Data :Since you have posted a question with multiple sub parts, we will provide the solution…

Q: In a school sports day, each student is required to join at least one event. The following table…

Q: A random variable x has the following discrete probability distribution: x f(x) 0 0.13 1…

A: Given discrete probability distribution table: x f(x) 0 0.13 1 0.17 2 0.22…

Q: ility Distribution for Number of Girls x P(x) 0.004 1 0.013 2 0.102 0.212 4 0.338 0.212 0.102 7…

A: According to guidelines we solve first three subparts only when we have given multiple subparts.

Q: The random variable X has the following probability distribution. X -1 4 7 8 (b) P(X ≥ 1) P(x) (c)…

A: Answer:From the given data,XP(X)-10.440.1570.2580.2Total1.00

Q: The probability distribution for the discrete random variable X is described by the table shown…

A: Given that Probability mass function of X is x -2 -1 0 1 2 4 P(x) 0.10 0.10 0.30 ? 0.05 0.05

Q: Handwritten

A: Steps

Q: The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors…

A: Discrete random variable is the finite or countable number of observation in the sample. For such…

Q: The number of ships to arrive at a harbor on any given day is a random variable represented by x.…

A: x1011121314P(x)0.310.150.10.120.32

Q: (a) What is the value of k? (b) Find E(X) and o (X). (c) Suppose the number of events students take…

Q: For a large population of people, the probability distribution for the random variable X = the…

A: We have given the following probability distribution table Meals,X12345Probability 0.170.350.240.17?

Q: Consider the random variable y = the number of broken eggs in a randomly selected carton of one…

A: a) The total probability must be equal to 1. So, p(4)=1-0.63+0.18+0.12+0.05=0.02

Q: The probability distribution of the number of students absent on Mondays, is as follows: X O 1 2 3…

A: (a) The probability that more than 3 students are absent:P(X > 3) = P(X = 4) + P(X = 5) + P(X =…

Q: Consider the table below gives the probabilities of the distribution of random variable X. Value of…

A: Given: b = f(1) = 0.2 c = f(2) = 0.06

Q: The random variable X has the following discrete probability distribution: X 1 3 5 7 9 p(x) 0.1 0.2…

A: Let's tackle each part of the problem: (a) List the values X may assume: The values X may assume are…

Q: The probability distribution for the random variable x follows. x f(x) 20 0.25 25 0.20 30 0.20 35…

A: x P9x) 20 0.25 25 0.20 30 0.20 35 0.35

Q: The probability distribution for the random variable x follows. f(x) 20 0.25 25 0.20 30 0.20 35 0.35…

A: Answer:- Given probability distribution for the random variable X, x f(x) 20 0.25 25 0.20…

Question

The probability distribution of the random variable X is given in the following table.

Random variable, x	-2	-1	0	1	2	3
P(X = x)	0.10	0.15	0.05	0.20	0.15	0.35

Find the following probabilities.

(a)    P(X = 0)

(b)    P(X ≤ 0)

(c)    P(-1 < X ≤ 4)

(d)    P(X ≥ 1)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Number of Girls x P(x) 0 0.003 1 0.021 2 0.118 3 0.208 4 0.300 5 0.208 6 0.118 7 0.021 8 0.003
X 18 19 20 21 22 F(x) 20 5 825 Let x be the ages of students in a class. Given the frequency distribution F(x) above, determine the following probabilities: (a) P(18 ≤ x < 20) = 0.825 (b) P(x = = 20) = 0.2 (c) P(x <22) = 0.875 CU CU
Let y denote the number of broken eggs in a randomly selected carton of one dozen eggs. Suppose that the probability distribution of y is as follows. y 0 1 2 3 4 p(y) 0.63 0.19 0.11 0.05 ? (a) Only y values of 0, 1, 2, 3, and 4 have positive probabilities. What is p(4)? (Hint: Consider the properties of a discrete probability distribution.) p(4) = Calculate P(y ≤ 2), the probability that the carton contains at most two broken eggs. P(y ≤ 2) = Calculate P(y < 2), the probability that the carton contains fewer than two broken eggs. P(y < 2) =
Handwritten
(c) Determine a probability distribution for the random variable, X, the number of credit cards issued to an individual. x (# of cards) P(x) x (# of cards) P(x) 0.14 0.01 0.31 7 0.03 3 0.30 8 0.02 4 0.10 9 0.02 0.06 10 0.01 (Type integers or decimals. Do not round.)
The federal government has enacted maximum reliable standards for air pollutants such as ozone let x be the number of days per year that the level of air pollution exceeds the standard in a certain day the probability distribution of x is given by X-. 0. 1. 2. 3. 4 P(x)- 0.34. 0.39. 0.19. 0.05. 0.03 There is 6 parts of this question. Find p(1)