Discuss the below:
1. Compute the following and show your steps.
2. Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vice-president and the third will be secretary/treasurer. How many ways can these officers be selected if there are 30 club members?
A) 52360
B) 4060
C) 24,360
D) 90
E) 27000
3. If X = {2, 6, 10, 14} and P(2) = .2, P(6) = .3, P(10) = .4, and P(14) = .1, can distribution of the random variable X be considered a probability distribution?
A) Yes
B) No
4. We have the random variable X = {5, 6} with P(5) = .2 and P(6) = .8. Find E(X)
5. We have a Poisson distribution with mean = 4. Find P(X = 3), P(X < 3), P(X <= 3), P(X > 3), the variance, and standard deviation