Question

Assume that the Cleveland Browns football team independently has a 70% chance to win any game...

Assume that the Cleveland Browns football team independently has a 70% chance to win any game that they play. In a regular season, they play 16 games for which the outcomes can only be win or loss. (disregard the notion of a tie being a possibility)

(PLEASE SHOW ALL WORK ON WRITTEN, WORK SHOWN SHEET, INPUT FINAL ANSWERS BELOW)

(a) What is the probability of the Browns winning exactly 12 games? (Show your calculation using formula provided)

(b) What is the probability of the Browns winning at least 10 games? (Use table)

(c) What is the probability of the Browns winning at most 8 games? (Use table)

(d) What is the mean and standard deviation of this distribution?

Math   Statistics-And-Probability   
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Answer #1

The number of games Cleveland Browns football team wins out of 16 has Binomial distribution with .

The PMF of is .

a) The required probability is

b)The required probability is

c)The required probability is

d) The mean of the distribution is

The standard deviation is

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