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 theprobability that a randomly selected athlete uses a stairclimber for (a) less than 21 minutes, (b) between 25 and 33 minutes, and (c) more than 40 minutes.(a) The probability that a randomly selected athlete uses a stairclimber for less than 21 minutes is(Round to four decimal places as needed.)

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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 22 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 22 and 29 minutes, and (c) more than 30 minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than 17 minutes is. (Round to four decimal places as needed.) (b) The probability that a randomly selected athlete uses a stairclimber between 22 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.)
The height of 10 year old females is normally distributed with a mean of 54.8 inches and a standard deviation of 2.74 inches. If a random 10 year old female is chosen at random, find the probability her height is between 53 inches and 57 inches.
On a mathematics test in a high school, scores are normally distributed with a mean of 77 and a standard deviation of 16.8. A student is randomly selected. Find the probability that his/her score is between 60 and 80.
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 122.7-cm and a standard deviation of 0.5-cm. Find the probability that the length of a randomly selected steel rod is between 122.8-cm and 123.2-cm.
The rate of return for firms on the stock market is normally distributed with a 7.5% average rate of return (the mean) with a standard deviation of 2.5%. A What proportion of firms will earn a return between 4% and 8%? B To the nearest percent find the probability of a firm earning 3% or less per year. If there are 1000 firms listed on the stock market, then how many firms earn a return of less than 3% a year? C To the nearest percent, find the probability of a firm earning 8% return in a year. if there are still 1000 firms listed on the stock markeet then how many firms will earn a return of 8% or higher? D What rate of return would put a firm in the top 20%?
A door-to-door salesperson is visiting houses in Hamilton to sell internet plans. The probability that a house decides to buy the internet plan is 25%. The salesperson visits 100 houses. Using normal approximation, determine the mean, standard deviation, and probability that less than 30 houses buy the internet plan.
Assume that adults have IQ scores that are normally distributed with a mean of 101.3 and a standard deviation of 20.2. Find the probability that a randomly selected adult has an IQ greater than 136.4
The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.39. There is 46 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?
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
The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.12. There is 35 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?
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.)
The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000. What is the probability their annual income is $22,000-$28,000? Do not use Excel Use Z SCORE

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