SOLUTION: There are eight people in an office. Each shows independently for a picture with probability 0.8. Let X denote the number that shows. This is a biomial problem. What is the pro

Question 137564: There are eight people in an office. Each shows independently for a picture with probability 0.8. Let X denote the number that shows. This is a biomial problem.
What is the probability that only one shows?
What is the probability that everyone shows?
What is the brobability that two or more show?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are eight people in an office. Each shows independently for a picture with probability 0.8. Let X denote the number that shows. This is a binomial problem.
probability that only one shows?: P(x=1)=8C1(0.8)(0.2)^7 = 0.00008192
probability that everyone shows?: P(x=8)=8C8(0.8)^8(0.2)^0 = 0.1678
probability that two or more show?P(2<=x<=8)= 1-[prob(x=0)+p(x=1)]= 0.9999
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Cheers,
Stan H.
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