Let the random variable X follow a normal distribution with u = 70 and o? = 49. a. Find the probability that X is greater than 80. b. Find the probability that X is greater than 55 and less than 80. c. Find the probability that X is less than 75.
Let the random variable X follow a normal distribution with u = 70 and o? = 49. a. Find the probability that X is greater than 80. b. Find the probability that X is greater than 55 and less than 80. c. Find the probability that X is less than 75.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let the random variable X follow a normal distribution with u = 70 and o= 49.
a. Find the probability that X is greater than 80.
b. Find the probability that X is greater than 55 and less than 80.
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 0.07 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.
...
a. The probability that X is greater than 80 is
(Round to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a49b5cd-bae7-48da-a7b2-17c9bb8a3482%2Fea995f86-1fb0-457f-b30c-58676212bb07%2Fcu18mcp_processed.png&w=3840&q=75)
Transcribed Image Text:Let the random variable X follow a normal distribution with u = 70 and o= 49.
a. Find the probability that X is greater than 80.
b. Find the probability that X is greater than 55 and less than 80.
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 0.07 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.
...
a. The probability that X is greater than 80 is
(Round to four decimal places as needed.)
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