Question 3: Let the random variable X be the amount of error in a recently calibrated machine. Suppose X'has pdf f(x) = 0.75(1-x²) -1≤x≤1 a) What is the probability that the error is between —and? b) Find the expected amount of error.

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 10E
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Question 3: Let the random variable X'be the amount of error in a recently calibrated machine.
Suppose X'has pdf
f(x) = 0.75(1-x²) -1≤x≤1
a) What is the probability that the error is between — and ½?
b) Find the expected amount of error.
Transcribed Image Text:Question 3: Let the random variable X'be the amount of error in a recently calibrated machine. Suppose X'has pdf f(x) = 0.75(1-x²) -1≤x≤1 a) What is the probability that the error is between — and ½? b) Find the expected amount of error.
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