During one year, a particular mutual fund outperformed the S&P 500 index 32 out of 52 weeks. Find the probability that it would perform as well or better again. The probability is (Round to four decimal places as needed.)
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- An insurance company sells a $12,000, five-year term life insurance policy to an individual for $640. Find the expected return for the company if the probability the individual will live for the next five years is 0.98. (Round your answer to the nearest cent.) (Don't Hand writing in solution) .An insurance company sells a $11,500, five-year term life insurance policy to an individual for $860. Find the expected return for the company if the probability the individual will live for the next five years is 0.96. (Round your answer to the nearest cent.)A junk drawer at home contains nine pens, five of which work. What is the probability that you randomly grab two pens from the drawer and don’t end up with a pen that works? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
- Suppose that it rains in Spain an average of once every 11 days, and when it does, hurricanes have a 9% chance of happening in Hartford. When it does not rain in Spain, hurricanes have a 3% chance of happening in Hartford. What is the probability that it rains in Spain when hurricanes happen in Hartford? (Round your answer to four decimal places.)In a certain year, the probability that a stock was in the Information Technology sector was 0.1353. The probability that the stock had a dividend yield of 2.00% or higher given that it was in the Information Technology sector was 0.2988. The probability that a stock had a dividend yield of 2.00% or higher given that it was not in the Information Technology sector was 0.4469. Find the probability that the stock was in the Information Technology sector given that it had a dividend yield of 2.00% or higher. Let F be the event that a stock was in the Information Technology sector and E be the event that a stock had a dividend yield of 2.00% or higher. P(F)= and P P (F') =If the probability that an individual will suffer a bad reaction to a given vaccine is 0.13. Determine the probability that out of 4 individuals, none will suffer a bad reaction. [The answer should be a number rounded to five decimal places, don't use symbols such as %]
- Find the probability that a driver with at least one collision in the past year is a middle aged adult driver.If the probability that the Islanders will beat the Rangers in a game is 81%, what is the probability that the Islanders will win at least three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.The probability that an applicant will be approved for a mortgage is 0.15. Each applicant has the same probability of being approved and the event that they are approved are independent. What is the probability that out of three applicants, exactly two of them get approved? Enter your answer as a decimal, with three decimal places. For example, if the probability is 15.37%, enter 0.154
- Ashley’s Internet service is terribly unreliable. In fact, on any given day, there is a 60% chance that her Internet connection will be lost at some point that day. What is the probability that her Internet service is not broken for seven days in a row? Enter a fraction or round your answer to 4 decimal places, if necessary.If the probability of an event not occurring is 0.55, what is the probability the event will occur? If necessary, round to 4 decimal places.Suppose that it rains in Spain an average of once every 15 days, and when it does, hurricanes have a 5% chance of happening in Hartford. When it does not rain in Spain, hurricanes have a 3% chance of happening in Hartford. What is the probability that it rains in Spain when hurricanes happen in Hartford? (Round your answer to four decimal places.)