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