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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
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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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