Three out of every eight calls to your cell phone is from a family member. Assume that the phone calls are independent.
a) What is the probability the next time the phone rings, it will be from a family member?
b) If the phone calls are independent, what is the probability the 3rd call today will be from a family member?
c) Last Tuesday, you received 15 phone calls, Let F be the number of those calls that were from family members. What is the distribution, parameter(s), and support of F?
d) What is the probability that between 4 and 6 calls (inclusive) last Tuesday were from family members?
e) What is the mean and standard deviation of F?