A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- II. NORMAL PROBABILITY DISTRIBUTION a. The selling prices of home in a certain community is such that it follows a normal distribution with mean (mu) = $276,000 and sigma = $32,000. b. Calculate the probability that the selling price of the next house in the community will be between $276,000 and $325,000.arrow_forwardRental car transaction times are uniformly distributed between 15 and 35 minutes. a. P( transaction takes less than 20 minutes) b. P(transaction takes more than 29 minutes) c. P( transaction takes between 18 and 30 minutes) d. P(transaction takes exactly 19 minutes) e. What is the mean transaction time? f. Determine the standard deviation.arrow_forwardSuppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N( b. Find the probability that a randomly hit fly ball travels less than 219 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feetarrow_forward
- Private nonprofit four-year colleges charge, on average, $26,375 per year in tuition and fees. The standard deviation is $6,685. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,855 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)arrow_forwardPrivate nonprofit four-year colleges charge, on average, $26,168 per year in tuition and fees. The standard deviation is $6,656. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,347 per year. c. Find the 74th percentile for this distribution. $ (Round to the nearest dollar.)arrow_forwardGiven a normal probability distribution with a mean of 9% and a standard deviation of 4%, what is the probability of observing a value between 2% and 14%? Use the following Z-score data is from the HP calculator: Z-Score -2.00 -1.75 -1.50 -1.25 -1.00 0.00 1.00 1.25 1.50 1.75 2.00 Probability 0.0228 0.0401 0.0668 0.1056 0.1587 0.5000 0.8413 0.8944 0.9332 0.9599 0.9772 Answer in decimal format, to 3 decimal places, truncated. For example, if your answer is 33.46%, enter 0.334.arrow_forward
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- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON