MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The weight of people in a small town in Missouri is known to be
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- The salary for workers at a company are normally distributed with a mean of $60,000 and a standard deviation of $9,000. A random sample of 36 employees was taken. Find the probability that the average is less than $56,000arrow_forwardData from the Bureau of Labor Statistics’ Consumer Expenditure Survey show that annual expenditures for cellular phone services per consumer unit increased from $235 in 2001 to $611 in 2007. Let the standard deviation of annual cellular expenditure be $42 in 2001 and $162 in 2007. What is the probability that the average annual expenditure of 136 cellular customers in 2001 exceeded $234? What is the probability that the average annual expenditure of 136 cellular customers in 2007 exceeded $577?arrow_forwardThe weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week?arrow_forward
- A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 40 seconds. Find the probability that a boy takes between 380 and 425 seconds.arrow_forwardsuppose the walking step lengths of an adult males are normally distributed with a mean of 2.7 feet and a standard deviation of 0.3 feet. A sample of 70 mens step is taken. Find the probability that a mans step length is 2.4 feetarrow_forwardSuppose that heights of women in Utah are normally distributed with a mean of 74 inches and a standard deviation of 3.4 inches. Find the probability that a randomly chosen woman is between 62 and 68 inches tall. Find the probability that a randomly chosen woman is taller than 80 inches tall. Find the 95th percentile. inchesarrow_forward
- In engineering and product design, it is important to consider the weights of people so that airplanes or elevators aren't overloaded. Based on data from the National Health Survey, we can assume the weight of adult males in the US has a mean weight of 177 pounds and standard deviation of 32 pounds. We randomly select 50 adult males. What is the probability that the average weight of these 50 adult males is over 180 pounds?arrow_forwardThe weights of ice cream cartons are normally distributed with a meanweight of 10 ounces and a standard deviation of 0.5 ounce. You randomly select 4 cartons. What is the probability that their mean weight is greater than 10.40 ounces?arrow_forwardOne brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’ recommendations. One brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’…arrow_forward
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