1. 

earch FOR CONSTRUCTION OF SIX Procurement Notices | Public Pro X File C:/Users/User/Desktop/Structures%20D3/FIRST%20SEMESTER/Test%203_PST%20311_Day.pdf BGEN3, BMEN3, BMMP3, BBME3, BECE3, BETE3, BEEE3 100 DE Test 3 PST 311_Day.pdf x + ERSINESS AND AFFLUES WATE MER-ZELE Date: May 04, 2023 Time Allowed: 1hr 30 mins Instruction: Answer all questions 1. An auditor for Old Mutual Claim services reports 40 percent of policyholders 55 years or older submit a claim during the year. Fifteen policyholders are randomly selected for company records. a) How many of the policyholders would you expect to have filed a claim within the last year? (2 marks) b) What is the probability that 10 of the selected policyholders submitted a claim last year? (2 marks) 2. A 5-litre bucket of water is taken from a swamp. The water contains 75 mosquito larvae. A 200mL flask of water is taken from the bucket for further analysis. What is the probability that the flask contains at least one mosquito larva? (4 marks) 3. The times between failures of a personal computer follow an exponential distribution with a mean of 300,000 hours. Calculate the probability of the next failure occurring between 200,000 and 350,000 hours. (6 marks) 4. Bonjour Italian Restaurant advertises that takeout orders take about 25 minutes. Assume that the time required for a takeout order to be ready for customer pickup has an exponential distribution with a mean of 25 minutes. If a customer arrives 35 minutes after placing an order. What is the probability that the order will not be ready? (3 marks) 5. The average stock price for companies is K30,000 and the standard deviation is K8,200. Assume the stock prices are normally distributed. If 300 companies are selected, how $ A AUN PP