Y is a Binomial random variable where, Y = The number of days in a week...

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Y is a Binomial random variable where, Y = The number of days ina week someone goes to the gym.

Where a week has 7 days and the probability of someone going tothe gym on any given day is .65.  What is the probabilitythat someone goes to the gym at least 3 days out of the week?

Hint: This is a cumulative probability, so you need to add upthe probabilities of Y equaling all the possible values up to andincluding 3.

P(Y <= 3) = ?

(A) 0.2627

(B) 0.4694

(C) 0.3672

(D) 0.4718

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