Suppose a random variable has the following probability density function: f(x) = 3cx² (1-x) 0 ≤x≤1 a) What must c equal for this to be a valid probability density function? b) Determine: i) P(0 ≤x ≤ 0.5) ii) the 90th percentile of the distribution
Suppose a random variable has the following probability density function: f(x) = 3cx² (1-x) 0 ≤x≤1 a) What must c equal for this to be a valid probability density function? b) Determine: i) P(0 ≤x ≤ 0.5) ii) the 90th percentile of the distribution
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Hello! I need help for question ii) find the 90th percentile
c=4
![Suppose a random variable has the following probability density function:
f(x) = 3cx² (1-x)
a) What must c equal for this to be a valid probability density function?
b) Determine: i) P(0≤x≤ 0.5)
0≤x≤1
ii) the 90th percentile of the distribution](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F416064f9-c57b-46ee-9b50-14b257515654%2Fef18a835-4571-44b4-b149-25ec92613d5d%2Fnjutq5n_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose a random variable has the following probability density function:
f(x) = 3cx² (1-x)
a) What must c equal for this to be a valid probability density function?
b) Determine: i) P(0≤x≤ 0.5)
0≤x≤1
ii) the 90th percentile of the distribution
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