Solve the following problems and show your complete solutions. Draw the normal curve then shade the needed area and indicate the z-value. 1. Given that x is a normally distributed random variable with a mean of 50 and a standard deviation of 5, find the following: e. P(37 < x < 48) f. P(55 < x < 62) g. P(43 < x < 67) h. P(33 < x < 70) P(x > 55) b. Р(x < 40) а. P(x > 45) d. P(x < 65) С.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Solve the following problems and show your complete solutions. Draw the
normal curve then shade the needed area and indicate the z-value.
1. Given that x is a normally distributed random variable with a mean of 50
and a standard deviation of 5, find the following:
a. P(x > 55)
b. Р(х < 40)
c. P(x> 45)
d. P(x < 65)
e. P(37 < x < 48)
f. P(55 < x < 62)
g. P(43 < x < 67)
h. Р(33 <х < 70)
Transcribed Image Text:Solve the following problems and show your complete solutions. Draw the normal curve then shade the needed area and indicate the z-value. 1. Given that x is a normally distributed random variable with a mean of 50 and a standard deviation of 5, find the following: a. P(x > 55) b. Р(х < 40) c. P(x> 45) d. P(x < 65) e. P(37 < x < 48) f. P(55 < x < 62) g. P(43 < x < 67) h. Р(33 <х < 70)
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