A shop receives a shipment of 1000 cheaply made lamps. The probability that any individual lamp is defective is 0.001. Assume the defectiveness is independent for each lamp. Let X be the number of defective lamps in the batch of 1000. Calculate the expected value E(X) and variance Var(X). Enter your answer numerically and do not round. For example, if the number you got is 2/5, you should enter 0.4.

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Author:Amos Gilat
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A shop receives a shipment of 1000 cheaply made lamps. The probability that any individual lamp is
defective is 0.001. Assume the defectiveness is independent for each lamp. Let X be the number of
defective lamps in the batch of 1000. Calculate the expected value E(X) and variance Var(X).
Enter your answer numerically and do not round. For example, if the number you got is 2/5, you
should enter 0.4.
Hint: the critical step is to determine the probability mass function of X, and we did this in HW 4
and HW Quiz 4.
E(X)
Var(X)
Transcribed Image Text:A shop receives a shipment of 1000 cheaply made lamps. The probability that any individual lamp is defective is 0.001. Assume the defectiveness is independent for each lamp. Let X be the number of defective lamps in the batch of 1000. Calculate the expected value E(X) and variance Var(X). Enter your answer numerically and do not round. For example, if the number you got is 2/5, you should enter 0.4. Hint: the critical step is to determine the probability mass function of X, and we did this in HW 4 and HW Quiz 4. E(X) Var(X)
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