Assume that the number of errors along a magnetic recording surface is a Poisson

Question

Assume that the number of errors along a magnetic recording surface is a Poisson random variable with a mean of one error every 10^5 bits. A sector of data consists of 4096

eight-bit bytes.

(a)What is the probability of more than one error in a sector?

(b)What is the mean number of sectors until an error occurs?

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The probability that your call to a service line is answered in less than 30 seconds

is 0.75. Assume that your calls are independent.

(a)If you call 10 times, what is the probability that exactly nine of your calls are answered

within 30 seconds?

(b)If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds?

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Explanation / Answer

2)

a)

probability P(X=9) = 10c9 * 0.75ˆ9 * 0.25 = 0.1877

b)

P( X >=16) = P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20)

= 0.4148

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