Questions 13-15 all go with the information stated above Use this information to

Question

Questions 13-15 all go with the information stated above Use this information to answer the following 3 questions (13-15): Suppose the probability that a Wide Receiver catches a ball thrown to him is .9. If he is targeted 8 times in a game, the number of balls caught could be modeled with the Binomial Distribution and organized in the following table: What is the mean and standard deviation for the number of balls you would expect him to catch? a) Mean = 7.2, S.D. = 0.85 b) Mean = 7.2, S.D. = 0.72 c) Mean = 0.8, S.D. = 0.72 d) Mean = 6.48, S.D. = 0.85 What is the probability of the Receiver catching EXACTLY 6 balls? a) 0.5314 b) 0.0006 c) 0.3826 d) 0.1488 What is the probability of a receiver catching 5 or more balls? a) 0.0331 b) 0.4304 c) 0.9619 d) 0.9950

Explanation / Answer

mean =np=8*0.9=7.2

std deviation =(np(1-p))1/2 =0.8485

13) option A

14)P(X=6)=0.1488

option D

15)P(X>=5)=0.9950

otion D

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