10 seniors go outof the country on a trip. They have to go through security befo

Question

10 seniors go outof the country on a trip. They have to go through security beforeleaving the country. The patrols will randomly select people to bethoroughly checked, they select 1 % of people on average. We modelthe number of seniors checked X by a binomial distribution. a) What are the parameters? b) What is the probability mass function of X? c) Seniors agree that everyone will wait if at least 2 seniorsget checked thouroughly. What is the probability that the groupwill wait? Please give hints only 10 seniors go outof the country on a trip. They have to go through security beforeleaving the country. The patrols will randomly select people to bethoroughly checked, they select 1 % of people on average. We modelthe number of seniors checked X by a binomial distribution. a) What are the parameters? b) What is the probability mass function of X? c) Seniors agree that everyone will wait if at least 2 seniorsget checked thouroughly. What is the probability that the groupwill wait? Please give hints only a) What are the parameters? b) What is the probability mass function of X? c) Seniors agree that everyone will wait if at least 2 seniorsget checked thouroughly. What is the probability that the groupwill wait? Please give hints only

Explanation / Answer

Since you asked for hints only: The PMF of the binomial distribution isnCxpx(1-p)n-x n = sample size x = observed number p = probability of even occuring c)P(X=<2) = P(X=0)+P(X=1)+P(X=2) n = sample size x = observed number p = probability of even occuring c)P(X=<2) = P(X=0)+P(X=1)+P(X=2)

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