5.14 According to the Financial Planners Standards Council, 22% of certified financial planners (CFPs) earn between $100,000 and $149,999 per year. Thirty-two percent earn $150,000 or more. Suppose a complete list of all CFPs is available and 18 are randomly selected from that list. Q3. Refer to question 5.14 in the course textbook (p.172 2nd edition/p.5-1834 edition). Suppose a random sample of 308 CFPs is taken (instead of only 18). Use this new sample size and the information given in the question to answer the following questions: a. What is the expected number and variance of CFPs who earn between $100,000 and $149,999 per year? b. What is the expected number and variance who earn $150,000 or more per year? c. Use the Normal approximation to find the probability that the number of CFPs who earn between $100,000 and $149,999 per year is between 64 and 66. (Do not use the continuity correction.) d. Use the Normal approximation to find the probability that the number of CFPs who earn $150,000 or more is greater than 80. (Do not use the continuity correction.) 5.14 According to the Financial Planners Standards Council, 22% of certified financial planners (CFPs) earn between $100,000 and $149,999 per year. Thirty-two percent earn $150,000 or more. Suppose a complete list of all CFPs is available and 18 are randomly selected from that list. Q3. Refer to question 5.14 in the course textbook (p.172 2nd edition/p.5-1834 edition). Suppose a random sample of 308 CFPs is taken (instead of only 18). Use this new sample size and the information given in the question to answer the following questions: a. What is the expected number and variance of CFPs who earn between $100,000 and $149,999 per year? b. What is the expected number and variance who earn $150,000 or more per year? c. Use the Normal approximation to find the probability that the number of CFPs who earn between $100,000 and $149,999 per year is between 64 and 66. (Do not use the continuity correction.) d. Use the Normal approximation to find the probability that the number of CFPs who earn $150,000 or more is greater than 80. (Do not use the continuity correction.)