Cj's average SSS income loan in 20,000. Find the chance that the employee owes less than 17,000 if the debt is normally distributed with a standard deviation of 2,700.
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- A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability that the applicant's rating will be between 205 and 275. (Round your answer to 4 decimal places.)Find the probability that a normal variable takes on values more than 1 6 standard deviations away from its mean.Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random person has an IQ between 110 and 125?
- The length of a ball pen is known to be normal with mean 5 inches with a standard deviation of 0.1 inch. Desiree bought one of such a ball pen. What is the probability that its length is between 4.85 inches to 5.10 inches? Solve and illustrate in the Normal curve.The life of light bulbs is distributed normally. the standard deviation of the lifetime is 29 hours and the mean lifetime of a bulb is 590. Find the probability of a bulb lasting for at most 608 hours (round your answer to four decimal places)Suppose the mean income of firms in the industry for a year is 4545 million dollars with a standard deviation of 13 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 60 million dollars? Round your answer to four decimal places.
- The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000. What is the probability their annual income is $22,000-$28,000? Do not use Excel Use Z SCOREThe life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours and the mean lifetime of a bulb is 510 hours. Find the probability of a bulb lasting for at most 552 hours. Round your answer to four decimal places.The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
- A student's chances of being accepted to Harvard are about 5%. What is the probability that only three students from the same school will be accepted if twenty apply? Calculate the expected number of accepted students if there were ten applicants from the same school. Also, find the standard deviation of the number of accepted applicants.Suppose the mean income of firms in the industry for a year is 2525 million dollars with a standard deviation of 77 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 4040 million dollars? Round your answer to four decimal places.At night, John works occasionally as a waiter for his family's restaurant for which his monthly income is normally distributed with a mean of $1,579 and a standard deviation of $103. What is the probability that John will earn between $1,322 and $1,764 this month? (Keep 4 decimal places).
