2:20 PM Sun Sep 25AAT twinrdsr has denmark... Cusercontent.....Iusercontent.crowdmark.com12. During a regular season, WSU will typically play 12 football games. Let X denote thenumber of football games WSU will win with the following probabilities:0 1 2 3 4 5 6 7 8 9 10 11 12P(X= x) 0.01 0.01 0.05 0.03 0.07 0.1 0.08 0.1 0.2 0.15 0.1 0.08 0.02Determine the following:(a) Is this a valid PMF? verify(b) What is the CDF?Has a pet20Does not have a pet 20total40The probabil...(c) Probability that WSU wins at least 1 game(d) Probability that WSU wins between 2 and 5 games(e) Probability that WSU wins at most 4 games(f) Mean and Variance(g) P(X> 6.6)(h) P(X ≤ 1.2)13. Use this table to calculate the following probabilities (as always - show your work/steps!):Elementary Middle High total130353065(a) P(X=3)(b) P(X ≤4)(c) P(X > 5)(d) P(0 ≤X ≤ 3)(e) Draw the PMF(f) Draw the CDF7545 95120 225xusercontent.... ★ Start Page(a) Find P(Student does not have a pet)(b) Find P(Student has a pet and they are in middle school)(c) Find P(Student is in elementary school or they have a pet)(d) Find P(Student is not in middle school and they do not have a pet)14. The random variable X has a binomial distribution with n=8 and p=0.6. Determine thefollowing probabilities:315. Telephone calls enter a switchboard on the average of two every four minutes. What is theprobability of 3 or more calls arriving in a 10-minute period?50%+ 88

It is given that a regular season, WSU will typically play 12 football games. The random variable X…

Answered: Determine the following: (a) Is this a…

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...

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Determine the following: (a) Is this a valid PMF? verify (b) What is the CDF? (c) Probability that WSU wins at least 1 game