DiscCo's latest 8TB hard drive has an error rate given by the fact that the probability of

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DiscCo's latest 8TB hard drive has an error rate given by the fact that the probability of error in a given bit within a given hour is \(p=50 \times 10^{-15}\). (We use the fact that \(8 \mathrm{~TB}=8 \times 8 \times 1024^{4}=70368744177664\) bits.)

(a) What is the expected number of errors in 1 hour?

(b) What is the variance in the number of errors in 1 hour?

(c) What is the probability of at most 5 errors within 1 hour?

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