The proportion of impurities per batch in a chemical product is a random variable X with density function 12x2(1 - х) for 0sx<1 f(x) = - otherwise find the mean of the proportion of impurities in a randomly selected batch of chemical. A 3/5 (в 1/4 1/2 1/6

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 28E
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The proportion of impurities per batch in a chemical product is a random variable X with density function
12x2(1– x)
for 0sxs1
f(x)
otherwise
find the mean of the proportion of impurities in a randomly selected batch of chemical.
A
3/5
B
1/4
c) 1/2
1/6
Transcribed Image Text:The proportion of impurities per batch in a chemical product is a random variable X with density function 12x2(1– x) for 0sxs1 f(x) otherwise find the mean of the proportion of impurities in a randomly selected batch of chemical. A 3/5 B 1/4 c) 1/2 1/6
Suppose that the random variable X has the probability density function
[ c(1-x²)
for - 1< x <1
f(x) =
elsewhere
Find the value of the constant c.
A
5/6
в) 1/3
3/4
4/3
Transcribed Image Text:Suppose that the random variable X has the probability density function [ c(1-x²) for - 1< x <1 f(x) = elsewhere Find the value of the constant c. A 5/6 в) 1/3 3/4 4/3
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