5.34 Suppose x is a normally distributed random variable with mean 100 and standard deviation 8. Draw a rough graph of the distribution of x. Locate μ and the interval μ ±20 on the graph. Find the following probabilities: - a. P(μ 20 x ≤ μ +20) b. P(x+20) c. P(x ≤92) d. P(92x116) e. P(92x96) f. P(76x124)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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5.34 Suppose x is a normally distributed random variable with
mean 100 and standard deviation 8. Draw a rough graph of
the distribution of x. Locate μ and the interval μ ±20 on
the graph. Find the following probabilities:
-
a. P(μ 20 x ≤ μ +20)
b. P(x+20)
c. P(x ≤92)
d. P(92x116)
e. P(92x96)
f. P(76x124)
Transcribed Image Text:5.34 Suppose x is a normally distributed random variable with mean 100 and standard deviation 8. Draw a rough graph of the distribution of x. Locate μ and the interval μ ±20 on the graph. Find the following probabilities: - a. P(μ 20 x ≤ μ +20) b. P(x+20) c. P(x ≤92) d. P(92x116) e. P(92x96) f. P(76x124)
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