point(s) possibleSubmit testThe amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 21 minutes and a standard deviation of 6 minutes. Find theprobability that a randomly selected athlete uses a stairclimber for (a) less than 18 minutes, (b) between 21 and 29 minutes, and (c) more than 30 minutes.(a) The probability that a randomly selected athlete uses a stairclimber for less than 18 minutes is(Round to four decimal places as needed.)(b) The probability that a randomly selected athlete uses a stairclimber between 21 and 29 minutes is(Round to four decimal places as needed.)(c) The probability that a randomly selected athlete uses a stairclimber for more than 30 minutes is(Round to four decimal places as needed.)4Time Remaining: 00:39:09NextHhp

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that adults have IQ scores that are normally distributed with a mean of 98.5 and a standard deviation of 16.9. Find the probability that a randomly selected adult has an IQ greater than 125.0
Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 570 and a standard deviation of 94. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score between 476 and 570. The percentage of people taking the test who score between 476 and 570 is %.
Annual precipitation in a certain city is normally distributed with a mean of 99 inches, and a standard deviation of 18 inches. Find the probability that the mean annual precipitation during 35 randomly picked years will be less than 101.8 inches.
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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 175.2-cm and a standard deviation of 1.8-cm. For shipment, 20 steel rods are bundled together.Find the probability that the average length of a randomly selected bundle of steel rods is greater than 176.2-cm.P(M > 176.2-cm) = ________Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Length of skateboards in a skateshop are normally distributed with a mean of 32 in and a standard deviation of 0.6 in. The figure below shows the distribution of the length of skateboards in a skateshop. Calculate the shaded area under the curve.
A surgery has a success rate of 90%. Suppose that the surgery is performed on threepatients Graph the probability distribution for X using a histogram.Find the mean of X.Find the variance and standard deviation of X.
ABC Builder decides to apply a veneer to an external part of the building in order to protect it from erosion. If the density of the veneer follows a uniform distribution between 12 and 24 microns, determine: the mean density of the veneer of the protective building The standard deviation of the density of the protective building The probability that the protective building is between 15- and 20-microns dense The probability that the protective building is less than 22 microns dense.
A basketball player makes 56 free throws in a season. The average number of free throws made in the league is 52, and the standard deviation is 4. A softball player makes 42 hits in a season. The average number of hits mase in the league is 38, and the standard deviation is 6. Calculate Z-scores for the two and compare them. Which one is better at their sport?
The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 20 minutes and a standard deviation of 7 minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 17 minutes, (b) between 20 and 29 minutes, and (c) more than 30 minutes. Question content area bottom Part 1 (a) The probability that a randomly selected athlete uses a stairclimber for less than 17 minutes is enter your response here. (Round to four decimal places as needed.) Part 2 (b) The probability that a randomly selected athlete uses a stairclimber between 20 and 29 minutes is enter your response here. (Round to four decimal places as needed.) Part 3 (c) The probability that a randomly selected athlete uses a stairclimber for more than 30 minutes is enter your response here. (Round to four decimal places as needed.)

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