Company A has probability .07 of defaulting. Company B has probability of .001 of defaulting. Assume that the event that company A defaults is independent of the event that company B defaults. a) What is the probability that both company A and company B defaults? b) What is the probability that either company A or company B or both default?
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- A company prices its tornado insurance using the following assumptions:• In any calendar year, there can be at most one tornado.• In any calendar year, the probability of a tornado is 0.05.• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.Using the company's assumptions, calculate the probability that there are fewer than 4 tornadoes in a 20-year period.A company prices its tornado insurance using the following assumptions:• In any calendar year, there can be at most one tornado.• In any calendar year, the probability of a tornado is 0.08.• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.Using the company's assumptions, calculate the probability that there are fewer than 4 tornadoes in a 22-year period.Suppose that a salesperson succeeds in making a sale with one in every five potential customers contacted. During a particular week, ten new potential customers are contacted. What is the probability that the salesperson will not succeed in making any sales?
- Company A has probability .01 of defaulting, company B has probability .005 of default- ing, if company A defaults the probability that company B defaults increases to .02. a) What is the probability that both company A and company B default? b) If company B defaults what is the probability that company A will default as well?A company prices its tornado insurance using the following assumptions: • In any calendar year, there can be at most one tornado. • In any calendar year, the probability of a tornado is 0.07. • The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year. Using the company's assumptions, calculate the probability that there are fewer than 2 tornadoes in 15-yearA company prices it's tornado insurance using the following assumptions: in any calendar year there can be at most one tornado in any calendar year the probability of a tornado is 0.15 The number of tornadoes in any calendar year is independent of the number of tornadoes in any other calendar year using the companies assumptions calculate the possibilities that there are fewer than 2 tornadoes in a 20 year.
- A company prices its tornado insurance using the following assumptions:• In any calendar year, there can be at most one tornado.• In any calendar year, the probability of a tornado is 0.08.• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.Using the company's assumptions, calculate the probability that there are fewer than 4 tornadoes in a 21-year period.What is the known probability when two events will both occur, such that the probabilities of the individual events are from its product? A. Independent Event B. Dependent Event C. Individual Event D. Intersection of Event Mr. Chua has two children. What is the probability that they are both boys? А. 1/2 В. 1/3 C. 1/4 D. 1Assume that every patient with a particular type of disease has probability 0.1 of being cured within a week, if the patient is given no treatment for the disease. Ten patients with that type of disease are given a new type of drug. After one week 9 out of 10 patients are cured. What is the probability of at least 9 patients being cured if the drug is assumed to have No curative effects?
- Suppose the probability of a customer placing an order at a pizza place for a pepperoni pizza is 0.6, and for something else with probability 0.4. We assume if a customer calls the pizza place, he orders something, and that all incoming calls are indepen- dent. What is the probability that the pizza place will get the first pepperoni pizza order on the 4th call of the day?The probability that an international flight leaving the United States is delayed in departing (event D) is 26. The probability that an international flight leaving the United States is a transpacific flight (event P) is .54. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is 14. (a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight? (Round your answer to 4 decimal places.) Probability (b) In this problem, are Dand Pindependent?