Assume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the value for x that solves each of the following: a. P(X> x) = 0.5 b. P(X> x) = 0.95 c. P(x < X < 10) = 0 d. P(-x

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 11PPS
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Assume that X is normally distributed
with a mean of 10 and a standard
deviation of 2. Determine the value for x
that solves each of the following:
a. P(X > x) = 0.5
b. P(X>x) = 0.95
c. P(x < X < 10) = 0
d. P(-x<X-10 < x) = 0.95
e. P(-x < X 10 < x) = 0.99
Transcribed Image Text:Assume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the value for x that solves each of the following: a. P(X > x) = 0.5 b. P(X>x) = 0.95 c. P(x < X < 10) = 0 d. P(-x<X-10 < x) = 0.95 e. P(-x < X 10 < x) = 0.99
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