Answered: The medical records of infants…

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 8E

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Question

The medical records of infants delivered at the Kaiser Memorial Hospital show that the infants’ lengths at
birth (in inches) are normally distributed with a mean of 20 and a standard deviation of 2.1. Find the probability
that an infant selected at random from among those delivered at the hospital measures is more than 23.5 inches.

A) 0.0485

B) 0.1991

C) 0.0475

D) 0.9515

E) 0.6400

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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