Answered: Assume that the random variable X is…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 19E

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Question

Assume that the random variable X is normally distributed, with mean

μ=45

and standard deviation

σ=14.

Compute the probability

P(57<X≤69).

Be sure to draw a normal curve with the area corresponding to the probability shaded.

Assume that the random variable X is normally distributed, with mean

μ=45

and standard deviation

σ=14.

Compute the probability

P(57<X≤69).

Be sure to draw a normal curve with the area corresponding to the probability shaded.

P(57<X≤69)=enter your response here

(Round to four decimal places as needed.)

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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