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.
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5f56f84-0a21-48c0-99f7-423223969e06%2F5565aa2f-0859-41b8-aa51-4e0cec8b530f%2Ff3jqf9h_processed.png&w=3840&q=75)
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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