a. Check whether the following can be defined as probability mass function,and explain why?İ.ii.f(x) =f(x) =X123x+150b. Given that ƒ(x):for x = 0,1,2,3,4kis a probability mass function for a random variable2*that can take on the values x = 0,1,2,3, and 4. Determine the value of k-for x=0,1,2,3,4,5

P(X=x) is the pmf iff ∑P(X=x)=1

a. Check whether the following can be defined as probability mass function, and explain why? X i. ii. f(x) = f(x) = 12 for x = 0,1,2,3,4 3x + 1 50 for x = 0,1,2,3,4,5 k b. Given that f(x) is a probability mass function for a random variable 2* that can take on the values x = 0,1,2,3, and 4. Determine the value of k

a. Check whether the following can be defined as probability mass function, and explain why? X i. ii. f(x) = f(x) = 12 for x = 0,1,2,3,4 3x + 1 50 for x = 0,1,2,3,4,5 k b. Given that f(x) is a probability mass function for a random variable 2* that can take on the values x = 0,1,2,3, and 4. Determine the value of k

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

9. Consider the formula: P(x) = x/21, x 0, 1, 2, 4. Is P(x) a probability mass function? If so, show the distribution of X in tabular form and compute the expected value of X.
1. The random variables §, §1, §2,... are independent and identically distributed with 1/4 and P(§ = j) = c/j for j = 1,2,3. Let X₁ = 0 and Xn = max(§₁, ..., Èn) for n = 1, 2,.... distribution P(§ = 0) = (a) What value must c take? (b) Explain why {Xn, n = 0, 1, 2,...} is a Markov chain. (c) Write down the transition matrix. (d) Draw the transition diagram and classify the states (aperiodic, transient, re- current, eorgodic, etc). (e) Calculate P(Xn = 0). (f) Calculate P(X₁ = 3, X₂ = 1|X₁ = 3).
Assume the following data displays the joint probability for random variables X and Y: X 10 20 30 20 0.1 0.2 0.05 0.05 0.1 0.2 0.2 0.0 0.1 -1 Y O 1 1. Solve for the correlation of X and Y. 2. Solve for the correlation of X and Y conditional on Y being greater than or equal to zero. 3. Are X and Y independent? Are X and Y conditional on Y being greater than or equal to zero, independent.
3. Determine the value c so that each of the following functions can serve as probability distributions of the discrete random variable X: a. f(x) = c(x² +4) for x = 0,1, 2, 3; 3 b. f(x)%3Dс for x= 0,1, 2 3-x