The amounts of time per workout an athlete uses a stairclimber are nomally distributed, with a mean of 21 minutes and a standard deviation of 6 minutes. Find the probability that a randomly selected athlete uses a stairclimber for(a) less than 16 minutes, (b) between 21 and 28 minutes, and (c) more than 30 minutes.(a) The probability that a randomly selected athlete uses a stairclimber for less than 16 minutes is(Round to four decimal places as needed.)(b) The probability that a randomly selected athlete uses a stairclimber between 21 and 28 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.)NextView an ExampleGet More Help -Help Me Solve This6:46 PM74°F Clear ^O10/3/20212 Type here to searchDOS21 AUXL-BT10/05/17InsertDeletePrtScF11F12F9F10F7F8F5F6EscF2F3F4NumLockF1Backspace&%3D%2334571278.UHomeERTYTab* CO团%24

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Answered: The amounts of time per workout an…

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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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 5 minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 16 minutes, (b) between 20 and 28 minutes, and (c) more than 30 minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than 16 minutes is (Round to four decimal places as needed.)
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between 0°C and 2.679°C.
Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Find the probability that the reading is between 1.5°C and 1.71°C.
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
A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 52.2 mm and a standard deviation of 2.3 mm. Find the probability of randomly selecting a value (Hint: round off z scores to 2 decimal places) 1. less than 48.5 mm? 2. between 50 mm and 55 mm?
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
Assume that women's heights are normally distributed with a mean 64.5 in, and a standard deviation of 2.3 in. (a) if 1 woman is randomly selected, find the probability that her height is less than 65 in.(b) if 46 women are randomly selected, find the probability that they have a mean height less than 65 in.
Assume that adults have IQ scores that are normally distributed with a mean of 103.9 and a standard deviation of 16.5. Find the probability that a randomly selected adult has an IQ greater than 132.4
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 of a rating that is greater than 295.
The MPG (miles per gallon) for a certain compact car is normally distributed with a mean of 30 and a standard deviation of 1. What is the probability that the MPG for a randomly selected compact car would be less than 28?
The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $13. Find the probability that a randomly selected utility bill is (a) less than $69, (b) between $87 and $100,and (c) more than $130.
The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 25 minutes and a standard deviation of 6 minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 20 minutes, (b) between 25 and 32 minutes, and (c) more than 40 minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than 20 minutes is (Round to four decimal places as needed.) (b) The probability that a randomly selected athlete uses a stairclimber between 25 and 32 minutes is (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than 40 minutes is (Round to four decimal places as needed.)

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