Answered: walks to the top of a hill and then…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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Question

Each morning a man goes for a walk. He walks to the top of a hill and then walks down again. The time he takes to walk up the hill is normally distributed with µ = 20 (minutes) and σ = 3, whereas the time he takes to walk down the hill is normally distributed with µ = 15 and σ = 4. Assuming that the time taken for the uphill and downhill walks are independent, what is the probability that his walk will last:

a) between 35 and 40 minutes?

b) less than half an hour?

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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