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Let the random variable X follow a normal distribution with u = 50 and o = 81. a. Find the probability that X is greater than 60. b. Find the probability that X is greater than 30 and less than 63. c. Find the probability that X is less than 55.

Let the random variable X follow a normal distribution with u = 50 and o = 81. a. Find the probability that X is greater than 60. b. Find the probability that X is greater than 30 and less than 63. c. Find the probability that X is less than 55.

A First Course in Probability (10th Edition)
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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Let the random variable X follow a normal distribution with u = 50 and o = 81. a. Find the probability that X is greater than 60. b. Find the probability that X is greater than 30 and less than 63. c. Find the probability that X is less than 55. d. The probability is 0.2 that X is greater than what number? e. The probability is 0.07 that X is in the symmetric interval about the mean between which two numbers? Click the icon to view the standard normal table of the cumulative distribution function.
Transcribed Image Text:Let the random variable X follow a normal distribution with u = 50 and o = 81. a. Find the probability that X is greater than 60. b. Find the probability that X is greater than 30 and less than 63. c. Find the probability that X is less than 55. d. The probability is 0.2 that X is greater than what number? e. The probability is 0.07 that X is in the symmetric interval about the mean between which two numbers? Click the icon to view the standard normal table of the cumulative distribution function.
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