UniversityEssayServices

1.   After scoring a touchdown, a football team may elect to attempt a two-point conversion, by running or passing the ball into the end zone. If successful, the team scores two points. For a certain football team, the probability that this play is successful is 0.40.

 

a.   Let X = 1 if successful, X = 0 if not. Find the mean and variance of X.

b.   If the conversion is successful, the team scores 2 points; if not the team scores 0 points. Let Y be the number of points scored. Does Y have a Bernoulli distribution? If so, find the success probability. If not, explain why not.

c.    Find the mean and variance of Y.

 

 

2.    A certain brand of dinner ware set comes in three colors: red, white, and blue. Twenty percent of customers order the red set, 45% order the white, and 35% order the blue. Let X = 1 if a randomly chosen order is for a red set, let X = 0 otherwise; let Y = 1 if the order is for a white set, let Y = 0 otherwise; let Z = 1 if it is for either a red or white set, and let Z = 0 otherwise.

 

a.   Let pX denote the success probability for X.

b.  Find pX . Let pY denote the success probability for Y.

c.    Find pY . Let pZ denote the success probability for Z.

d.  Find pZ . Is it possible for both X and Y to equal 1?

e.  Does pZ = pX + pY?

f.      Does Z = X + Y? Explain.

 

 

3.    When a certain glaze is applied to a ceramic surface, the probability is 5% that there will be discoloration, 20% that there will be a crack, and 23% that there will be either discoloration or a crack, or both. Let X = 1 if there is discoloration, and let X = 0 otherwise. Let Y = 1 if there is a crack, and let Y = 0 otherwise. Let Z = 1 if there is either discoloration or a crack, or both, and let Z = 0 otherwise.

a.   Let pX denote the success probability for X. Find pX .

b.  Let pY denote the success probability for Y. Find pY

c.    Let pZ denote the success probability for Z. Find pZ .

d.  Is it possible for both X and Y to equal 1?

e.  Does pZ = pX + pY?

f.     Does Z = X + Y? Explain.

Found something interesting ?

• On-time delivery guarantee
• PhD-level professional writers
• Free Plagiarism Report

• 100% money-back guarantee
• Absolute Privacy & Confidentiality
• High Quality custom-written papers

Related Model Questions

Feel free to peruse our college and university model questions. If any our our assignment tasks interests you, click to place your order. Every paper is written by our professional essay writers from scratch to avoid plagiarism. We guarantee highest quality of work besides delivering your paper on time.

Sales Offer

Coupon Code: SAVE25 to claim 25% special special discount
SAVE