need question # 10 please 8. The average number of shipments that arive at a lan
ID: 3376231 • Letter: N
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need question # 10 please
8. The average number of shipments that arive at a landing area within a depot is three per hour during a regul ar business day. The process can be modeled with the Poisson distribution. These shipments arrive randomly, and are not related to each other in any way a. What is the probability that more than two will arrive in a one-hour period ? b. What is the chance that an hour goes by, and no shipments arrive ? c. What is the probability that 2 hours go by and no more than two shipments arrive at the platform ? 9. As a retailer, you are interested in buying cars directly from the manufacturer. You are looking to purchase 3 cars from a total of 2 Model A cars, 6 Model B cars, and 5 Model C cars. You randomly select from this group of cars. Once you select any car, it will be placed on the truck for shipment. Let X represented the number of Model A cars you select. a. Develop the probability distribution for X. That is, provide a table with the possible values for X and the probabilities for cach of these values. b. What is the expected value of the random variable X? c. What is the population standard deviation for X d. What's the chance you pick at least one Model A car? e. What's the chance that all the cars you pick are Model A? f. What's the chance that you pick no Model A cars in your sample? 10. You are the manager of a large retail store. You do business with two wholesalers Specifically the remaining time. Nobody's perfect - and sometimes the wholesalers send you items that you didn't order or things that simply don't work. These are "bad" shipments. Wholesaler A sends you bad shipments 7% of the time and Wholesaler B provides you with poor shipments 5 % of the time. This situation may be represented by a tree diagram , you do business with Wholesaler A 60% of the time, and with Wholesaler B However, a tree is not mandatory for solving the problem. a. You see a shipment from Wholesaler A. What's the probability that it is a good shipment? b. You see a shipment on the floor. What's the probability that it's a bad one from Wholesaler B? c. You see a shipment on the floor and don't know where it came from. What's the chance that it is a bad shipment ? d. You see a bad shipment crate on the landing dock. What's the probability that it came from Wholesaler B?Explanation / Answer
Question 10
Pr(Wholesaler A)= 0.60
Pr(Wholesaler B) = 0.40
Pr(Bad shipment send by Wholesaler A) = 0.07
Pr(Bad shipment send by Wholesaler B) = 0.05
(a) Pr(Good shipment l Wholesaler A) = 1 - 0.07 = 0.93
(b) Pr(Bad one from Wholesaler B) = 0.05 * 0.40 = 0.02
(c) Pr(Bad shipment) = 0.05 * 0.40 + 0.07 * 0.60 = 0.062
(d) Pr(Wholesaler B l Bad shipment) = 0.02/0.062 = 0.3226
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