(25 pts) A typical day\'s production of a certain electronic component is 150. T
ID: 2930122 • Letter: #
Question
(25 pts) A typical day's production of a certain electronic component is 150. The probability that one of these components needs rework is 0.11. The cost is $20 for each component needing rework 2. Find the RV for the number of components that need rework. a. sing your work from part a and the definition of expectation, find an expression for the expectation of the number of repairs needed. c. Find the expectation that the ith component needs rework E(X) by finding the RV that represents the ith component X, (0 for good, 1 for needs rework) and using the definition of expectation Find # components that are expected to need rework by using your answer to c and d. using 4bout how much can the company expect to spend each day on the rework of components? e. f About how much can the com t how much can the compány expect to spend for a quarter of production (assume 80 apany expect to spend for a quarter of production (assume 80 production days).Explanation / Answer
a) X - number of components needing rework
X folllows binomial distribution with n = 150 , p = 0.11
b) E(X) = np = 150 *0.11 = 16.5
c) and d) do yourself
e) Z = cost for repairing
Z = 20 X
E(Z) = E(20X) = 20*16.5 = 330
f) in 80 days , expected = 80 * 330 = 26400
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