67% of adults age 55 or older want to reach their 100thbirthday. You randomly select 8 adults age 55 years or older andask them if they want to reach their 100th birthday. The randomvariable represents the number of adults ages 55 or older who wantto reach their 100th birthday.
a) What is the probability that exactly 5 of them say they wantto reach their 100th birthday?
b) What is the probability that at most 5 of them say they wantto reach their 100th birthday?
c) What is the probability that more than 4 adults say they wantto reach their 100th birthday?
d) What is the probability that at least 5 of them say they wantto reach their 100th birthday?
e) What is the probability that less than 4 adults say that theywant to reach their 100th birthday?
f) What is the mean and standard deviation of the binomialvariable?
Please show your work!
