1. The distribution of daily requests to a certification authority for public-ke

Question

1.     The distribution of daily requests to a certification authority for public-key certificates is normal with the expectation of 100 and the standard deviation of 15.                                                                                                               (10 points)

a)    Find the probability that the number of requests on Monday is between 95 and 105.

b)    Find the probability that the number of requests on Tuesday is greater than 120.

c)     Find the probability that the number of requests on Wednesday is less than 121.

Explanation / Answer

a) Pr(95 < requests < 105) = Pr( (95 - 100)/15 < z < (105 - 100)/15 ) where z is the unit-Normal random variable

Pr( -1/3 < z < 1/3) = Pr(z < 1/3) - Pr(z < -1/3) = Pr(z < 0.333)

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