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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

Section13.3: Special Probability Density Functions

Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...

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1. A house painter found that it takes 40 minutes on average to paint a roof. Given a standard deviation of this task is 5 minutes and the times for roof painting is normally distributed, what is the probability that on any given day it will take the painter 50 minutes or more to paint a house roof? 2. Which of the following would you not use the normal distribution to approximate the binomial distribution? A. n = 100, p = 0.22 B. n = 100, p = 0.31 C. n = 100, p = 0.1 D. n = 100, p = 0.01 E. n = 100, p = 0.9

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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