Let the random variable X follow a normal distribution with u = 70 and o = 81. a. Find the probability that X is greater than 80. b. Find the probability that X is greater than 55 and less than 85. c. Find the probability that X is less than 75.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Let the random variable X follow a normal distribution with u = 70 and o? = 81.
a. Find the probability that X is greater than 80.
b. Find the probability that X is greater than 55 and less than 85.
c. Find the probability that X is less than 75.
d. The probability is 0.3 that X is greater than what number?
e. The probability is 0.03 that X is in the symmetric interval about the mean between which two numbers?
Transcribed Image Text:Let the random variable X follow a normal distribution with u = 70 and o? = 81. a. Find the probability that X is greater than 80. b. Find the probability that X is greater than 55 and less than 85. c. Find the probability that X is less than 75. d. The probability is 0.3 that X is greater than what number? e. The probability is 0.03 that X is in the symmetric interval about the mean between which two numbers?
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