Question: The resistance X of an electrical component has a probability density function f (x) = Ax (130 -x2) for resistance values in the range 10

The resistance X of an electrical component has a probability density function
f (x) = Ax (130 -x2)
for resistance values in the range 10 ≤ x ≤ 11.
(a) Calculate the value of the constant A.
(b) Calculate the cumulative distribution function.
(c) What is the probability that the electrical component has a resistance between 10.25 and 10.5?
(This problem is continued in Problems 2.3.17. 2.4.13. and 2.6.12.)

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