Assume that when shopping for a PS5, the probability of finding the PS5 at any given store is .25. We’ll assume that this is modeled by a binomial distribution that uses the formula P(x = k) Assuming...

Assume that when shopping for a PS5, the probability of finding the PS5 at
any given store is .25. We’ll assume that this is modeled by a binomial distribution that uses the formula P(x = k)


Assuming that n = 9 people go shopping for the PS5,
(a) what is the probability that 3 people will find the PS5?
(b) what is the probability that at least 2 people will find the PS5?
(c) what is the expected number (µ) of the 9 people that can find the PS5 when going
shopping?
(d) what is the standard deviation σ of the 9 people that can find the PS5 when shopping?