a. Find the value of c that will make f(x) a valid density function. b. What is the probability that X=5? What about the probability that X=5 or 9?
a. Find the value of c that will make f(x) a valid density function. b. What is the probability that X=5? What about the probability that X=5 or 9?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 23E
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Transcribed Image Text:6. X is a continuous random variable with the following probability density function:
f(x) = √ cx² 0 < x < 10
=
{
otherwise
0
a. Find the value of c that will make f(x) a valid density function.
b. What is the probability that X=5? What about the probability that X-5 or 9?
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