Please answer the flowing statistics questions:
Q #1
11. [0/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 5.R.014.S. MY NOTES ASK YOUR TEACHER Suppose you are a (junk) bond broker who buys only bonds that have a 50% chance of default. You want a portfolio with at least five bonds that do not default. You can dispose of the other bonds in the portfolio with no great loss. What is the smallest number of bonds you should buy if you want to be at least 94% sure that five or more bonds will not default? LA USE SALT 0.941 1x Need Help? Read It12. [0.33/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 5.R.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying over similar distances in flatter portions of the nation, according to a General Accounting Office study completed in response to a congressional request. The accident rate for small aircraft in the 11 mountainous western states is 2.1 accidents per 100,000 flight operations. (a) Let r = number of accidents for a given number of operations. Explain why the Poisson distribution would be a good choice for the probability distribution of r. O Frequency of accidents is a common occurrence. It is reasonable to assume the events are dependent. O Frequency of accidents is a rare occurrence. It is reasonable to assume the events are dependent. O Frequency of accidents is a common occurrence. It is reasonable to assume the events are independent. Frequency of accidents is a rare occurrence. It is reasonable to assume the events are independent. (b) Find the probability of no accidents in 100,000 flight operations. (Use 4 decimal places.) (c) Find the probability of at least 5 accidents in 200,000 flight operations. (Use 4 decimal places.) Need Help? Read It13. [-/1 Points] DETAILS BBUNDERSTAT12 5.R.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Records over the past year show that 1 out of 335 loans made by Mammon Bank have defaulted. Find the probability that 5 or more out of 285 loans will default. Hint: Is it appropriate to use the Poisson approximation to the binomial distribution? (Round 1 to 1 decimal place. Use 4 decimal places for your answer.) Need Help? Read It14. [-/1 Points] DETAILS BBUNDERSTAT12 5.R.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In Hawaii, the rate of motor vehicle theft is 384 thefts per 100,000 vehicles. A large parking structure in Honolulu has issued 582 parking permits. (a) What is the probability that none of the vehicles with a permit will eventually be stolen? (Round a to 1 decimal place. Use 4 decimal places for your answer.) (b) What is the probability that at least one of the vehicles with a permit will eventually be stolen? (Use 4 decimal places.) (c) What is the probability that six or more vehicles with a permit will eventually be stolen? (Use 4 decimal places.) Need Help? Read It16. [-/1 Points] DETAILS BBUNDERSTAT12 5.R.020. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 57% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA exam until the first pass. (Assume the trials are independent.) (a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.) (b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.) Need Help? Read It
