Suppose the time of renting a bicycle for a customer in a bicycle rental shop is normally distributed with mean 200 minutes and standard deviation 100 minutes. Find the probabilities that the time of renting a bicycle is (i) less than 90 minutes, (ii) between 90 minutes and 240 minutes, (iii) more than 240 minutes.

Suppose the time of renting a bicycle for a customer in a bicycle rental shop is normally distributed with mean 200 minutes and standard deviation 100 minutes. Find the probabilities that the time of renting a bicycle is (i) less than 90 minutes, (ii) between 90 minutes and 240 minutes, (iii) more than 240 minutes.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

Suppose the time of renting a bicycle for a customer in a bicycle rental shop is normally distributed with mean 200 minutes and standard deviation 100 minutes.

Find the probabilities that the time of renting a bicycle is

(i) less than 90 minutes,

(ii) between 90 minutes and 240 minutes,

(iii) more than 240 minutes.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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