Let X be a continuous random variable whose probability density function is given by the formula p(x) = 120 I if 0 ≤ x ≤ 6 if 6≤x≤ 10 otherwise. Find the probability that X is between 5 and 11. Enter the exact answer as a fraction (not a decimal approximation).
Let X be a continuous random variable whose probability density function is given by the formula p(x) = 120 I if 0 ≤ x ≤ 6 if 6≤x≤ 10 otherwise. Find the probability that X is between 5 and 11. Enter the exact answer as a fraction (not a decimal approximation).
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
Section13.1: Continuous Probability Models
Problem 27E
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Question
![Let X be a continuous random variable whose probability density function is given by the formula
p(x) =
120
I
if 0 ≤ x ≤ 6
if 6≤x≤ 10
otherwise.
Find the probability that X is between 5 and 11. Enter the exact answer as a fraction (not a decimal approximation).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F405a610a-bf89-4783-8335-b2a36505f1d9%2F63256bda-2e33-49a1-86e6-ada7551fb042%2F412wmmk_processed.png&w=3840&q=75)
Transcribed Image Text:Let X be a continuous random variable whose probability density function is given by the formula
p(x) =
120
I
if 0 ≤ x ≤ 6
if 6≤x≤ 10
otherwise.
Find the probability that X is between 5 and 11. Enter the exact answer as a fraction (not a decimal approximation).
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