Answered: years and the standard deviation is…

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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Question

At a large publishing company, the mean age of proofreaders is

36.2

years and the standard deviation is

3.7

years. Assume the variable is normally distributed. Round intermediate

-value calculations to two decimal places and the final answers to at least four decimal places.

Part: 0 / 2

0 of 2 Parts Complete

Part 1 of 2

If a proofreader from the company is randomly selected, find the probability that his or her age will be between

36.5

and

years.

P(36.5<X<38)=

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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