During one twelve-week period, a particular mutual fund outperformed the S&P 500 index 39 out of 60 days. Find the probability that it would perform as well or better again. The probability is?
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- For the fiscal year 2007, a tax authority audited 1.81% of individual tax returns with income of $100,000 or more. Suppose this percentage stays the same for the current tax year. What is the probability that two randomly selected returns with income of $100,000 or more will be audited? The probability is nothing. (Round to six decimal places as needed.)A recent survey showed that 17% of community college students experienced at least some homelessness during their first year at a community college. Surveys also show that 80% of community college students need to take English their first year at a CC. Based on these surveys what is the probability of first year CC students experiencing at least some homeless during their first year and taking an English class? Show the formula, the math plug-ins, and answer.Suppose that on the average, 3 students enrolled in a small liberal arts college have their automobiles stolen during the semester. What is the probability that less than 1 student will have his automobile stolen during the current semester? Round your answer to four decimal places.
- Suppose we are flipping an unfair coin until we get a head with the probability of obtaining a tail at 75%. What is the probability of obtaining a head on the third flip? Report your answer as a decimal and round to the nearest thousandth.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.)
- 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.)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 at a college, 55% of the students earn a degree at the end of four years and 27% earn a degree at the end of five years. What is the probability of earning a degree at the end of four or five years? Give your answer exactly as a decimal (not as a percent).
- A nervous kicker usually makes 69% of his first field goal attempts. If he makes his first attempt, his success rate rises to 94%. What is the probability that he makes his first two kicks? The probability that the kicker makes his first two kicks is (Round to three decimal places as needed.)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.Ashley’s Internet service is terribly unreliable. In fact, on any given day, there is a 75% 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 five days in a row? Enter a fraction or round your answer to 4 decimal places, if necessary.
