Solve and explain for me

A retailer of electronic equipment received nine cassettes from the manufacturer. Three of the 4. settes were damaged in the shipment. The retailer sold three cassettes to three customers. Let * denotes the number of damaged cassettes sold to the three customers. a . Write the probability function of X. cassettes? What is the probability that two of the three customers received damaged cassettes? c. What is the probability that not more than one of the three customers received damaged 9. The following table summarizes investment outcomes (in $1000) and corresponding probabilities for a particular oil well: x = the outcomes (in $1000) - 4 (no oil ) P(x) 0.25 7 0.70 0.05 Total a. Find the expected value of the investment outcomes b. Find the standard deviation for the investment outcomes 10. In a market study, a researcher found that 70% of customers are repeat customers. If 10 customers are selected at random, find the probability that a. at least one customer is repeat customer. b. exactly 7 are repeat customers. c. How many would you expect to be repeat customers? 11. A committee of three people is to be selected from a group of five men and three women. a. Find the number of possible committees. b. Find the number of possible committees with two women and one man. c. Find the probability that at least two men are on the committee. 12. A retail store aimed to reduce the number of bad checks cashed by its cashiers. The store's goal is to cash no more than eight bad checks per week. The average number of bad checks cashed is three per week. Let x denote the number of bad checks cashed per week. Assuming tha x has a Poisson distribution: a. Find the probability that the store's cashiers will not cash any bad checks in a particular week b. Find the probability that the store will not meet its goal in a particular week. c. Find the probability that the store's cashiers will cash no more than 4 bad checks per two-we period. d. Find the mean, variance, and standard deviation of the number of bad checks per week