Solution-What are the expectations and variances of x and y

What are the expectations and variances of x and y

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Reference no: EM13290275

Suppose that a widget manufacturing plant has two production systems working in parallel to produce widgets. The rst widget system is older, and produces 10000 widgets a day, with each widget being defective with probability 0.005, independently. The second widget system is brand new, and produces 25000 widgets a day, with each widget being defective with probability 0.002, independently. Moreover, the systems operate independently. At the end of each day, all of the day's widgets are collected together in a box.

Let X and Y be the number of widgets the rst and second system produce per day, respectively.

(a) What are the expectations and variances of X and Y?

(b) Using the central limit theorem and the table of the standard normal cdf, approximate the probability that more than 110 defective widgets are made in a day.

Attachment:- stat.pdf

Reference no: EM13290275

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What are the expectations and variances of x and y

Reference no: EM13290275

Reference no: EM13290275

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