Question: Recall Problem 2.1.1 I concerning the scheduling of appointments with a consultant. What is the expected value of the total number of appointments that have
Recall Problem 2.1.1 I concerning the scheduling of appointments with a consultant. What is the expected value of the total number of appointments that have already been made over both days at the moment when Monday's schedule has just been completely tilled.'
Problem 2.1.1
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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