77% o adults cannot name a supreme court ustice. You rando y se ect five adu ts

Question

77% o adults cannot name a supreme court ustice. You rando y se ect five adu ts and ask each they can name any o e ustices. Te random vara e represents the number au s who cannot name a Supreme Court justice. Complete parts (a) through (d) below. (a) Find the mean of the binomial distribution. (Round to two decimal places as needed.) (b) Find the variance of the binomial distribution , (Round to two decimal places as needed.) (c) Find the standard deviation of the binomial distribution. (Round to two decimal places as needed.) = (d) What values of the random variable would you consider unusual? Explain your reasoning On average ou o 5 adults cannot name a supreme court justice, with a standard deviation of because their probabilities are Type integers or decimals rounded to two decimal places as needed.) adults. The values x#0 and would be unusu a | 0.05

Explanation / Answer

SolutionA:

mean=n*p=5*0.77=3.85

solutionb:

variance=npq=np(1-p)

=5*0.77*(1-0.77)

variance =0.89

solutionc:

std dev=sqrt(vaariance)

=sqrt(0.89)

stddev =0.94

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