MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- The commute time for Cypress College students who drive from their home to the college follows a normal distribution with a mean of 26 minutes and a standard deviation of 8 minutes. What percent of students have a commute time between 20 and 30 minutes? O 51% 36% 38% O 46% 49%arrow_forwardCosts for standard veterinary services at a local animal hospital follow a Normal distribution with a mean of $74 and a standard deviation of $22. What is the probability that one bill for veterinary services costs between $41 and $107?arrow_forwardThe lifetime of a particular brand of AA batteries follows a normal distribution. The mean lifetime of particular brand of AA batteries is 1000 hours, with a standard deviation of 100 hours. What is the probability that a randomly selected battery lasts more than 875 hours? Select one: a. 0.8716 b. 0.3749 c. 0.1056 d. 0.8944arrow_forward
- Prices of homes in Raleigh, North Carolina are Normally distributed with a mean of $231,600 and a standard deviation of $38,550. What is the probability that the mean price of an SRS of 75 homes is more than $240,000? 0.0296 0.4272 O 0.2847 0.9173arrow_forwardA fair coin is flipped 80 times and the number of heads that occur is noted. A random variable x is defined as the number of heads. Find the expected value, variance, and standard deviationarrow_forwardA population of heights is normally distributed with a mean of 68.8 inches and a standard deviation of 4.6 inches. Suppose a person is randomly selected from this population. What is the probability that the person's height is greater than 71 inches? A. 0.16 B. 0.32 C. 0.68 D. 0.84arrow_forward
- need help pleasearrow_forwardThe full height of a certain species of tree has a normal probability distribution with a mean of 195.6 ft and a standard deviation of 7.5 ft. State the random variable. ¯x = the height of a certain species of tree ¯x = the mean height of a certain species of tree x = the height of a certain species of tree x = the diameter of a certain species of tree A tree of this type grows in my backyard, and it stands 187.4 feet tall. Find the probability that the height of a randomly selected tree is shorter than mine. Round to three decimal places.Which is the notation for the probability that the height is shorter than mine? P(x < 187.4) P(¯x < 195.6) P(¯x > 195.6) P(x > 195.6) P(¯x< 187.4) P(x < 195.6)arrow_forwardBoston, Massachusetts, averages 211.7 sunny days per year. Assume that the number of sunny days follows a normal distribution with a standard deviation of 20 days. 20 What is the probability that Boston has less than 200 sunny days in a given year? a 0.2394 b 0.2520 c 0.2653 d 0.2793arrow_forward
- What is the standard deviation if the variance is 6.25? A, 2.5 B, 2.8 C. 3.5 D. 3.8arrow_forwardThe mean weight of Sumo wrestlers is 350 pounds with a standard deviation of 25 pounds. Assume the distribution of Sumo wrestler weights is unimodal and symmetric and the Empirical Rule applies. If a Sumo wrestler is randomly selected what is the probability they weigh less than 300 pounds? 50% 84% 16% 2.5%arrow_forward
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