5. (10 points) Consider a Normal random variable X with mean p =5 and standard deviation o = 2.5. (a) (5 points) Calculate P[X 6.25]. 6. (5 points) Customers arrive randomly to a barber shop with the following probability distribution. 0.177 when n=0 0.221 when n=1 P,=:0.276 when n=2 0.230 when n=3 0.096 when n=4 Here, P, is the probability that there are n number of customers in the barber shop. What is the minimum number of stools needed to accommodate all of the customers at least 70% of the time