3.Suppose that X is a discrete random variable with probabilitymass function (pmf) as summarized in the table below.-3f(x) 0.35 0.25 0.4Find the cumulative distribution function (cdf) F(x) of X.You may either write F (x) as a piecewise defined function or sketch agraph of F(x). Also, no work is required to be shown in this problem.

Answered: Image /qna-images/answer/d355d2cf-bfa1-4129-aec2-590accc10059.jpg

Answered: 3. Suppose that X is a discrete random…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Q1 Let probability distribution function of Xbe defined by х %3D 0,1, 2, 3. a P(x) = otherwise. Find the value of a. (а) (b) (c) (d) Find P(-1
A fair coin is tossed three times and the random variable x equals the total number of heads. Find the sketch F(x) and f(x).
A random variable X has the cumulative distribution function as below.Calculate the variance of X.(use a decimal number, rounded to the nearest 1,000th. For example, 0.123)
[Q1] The probability distribution of the discrete random variable X is: f(X) = k23-* , for x = 4,5, 6, 7 (a) Find: • the value of the constant k. • The mean E (X). • The variance Var(X). (b) Sketch F(X).
6. Find the mean and variance of fx (x) = 2e eA* la.2...) (x) = de
Example 2.14. Show the CDF of the random variable X with the following pdf: fx(x) = l0.2(=)
7. Prove or disprove that the following function is a cumulative distribution function (cdf). If the function is a cdf, is the random variable continuous or discrete? Why? (Note: This is a special case of a logistic distribution.) Fx(x)= 1 1+ e-z -∞<<∞.
The maintenance department in a factory claims that the number of breakdowns of a particular machine follows a Poisson distribution with a mean of 2 breakdowns every 428 hours. Let x denote the time (in hours) between successive breakdowns. (a) Find λ and Ux. (Write the fraction in reduced form.) ux = f(x) = 214 (b) Write the formula for the exponential probability curve of x. P(x <4) ✔ Answer is complete and correct. 1 P(115
If F(x) is cumulative distrbution function of a continuous random variable X, the probability (function f(x) is the dervative of F(x (Fa)se (Trụe
Theorem 11. Let X be a random variable and let g(x) be a non-negative function. Then for r > 0, Eg (X) P[g(X) > r] < Proof.
g(x) = 3 4+1 if n < x < n + 1 given this function for all nonnegative integers n=0,1,2,3,... and g(x)=0 otherwise. (Hint: I strongly suggest that you graph this function.) 1. Can px(n)=g(n) be the probability mass function of a discrete random variable X that takes values in Z? If not, why, and if so, solve the E[X] and Var(X). 2. Can pY(y)=g(y) be the probability density function of a continuous random variable Y? If not, explain why, and if so, compute E[Y] and Var(Y).

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS