A company manufactures rubber and plastic washers in the ratio 4:1. The washers are randomly packed into

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A company manufactures rubber and plastic washers in the ratio 4:1. The washers are randomly packed into boxes of 25.

a. Find the probability that a randomly selected box contains:

i. Exactly 21 rubber washers 

ii. Exactly 10 plastic washers.

b. A retail pack contains 2000 washers. Find the expectation and variance of the number of rubber washers in a retail pack.

c. Using a suitable approximation, find the probability that a retail pack contains at most 1620 rubber washers.

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