2) Basic Probability Suppose a simple computer contains 16 memory sectors, 4 of which are read-only....

2) Basic Probability

Suppose a simple computer contains 16 memory sectors, 4 of which are read-only. We need to use 3 of the sectors.

A.) How many different samples are possible?

B.) Find the probability that none in the sample are read-only.

C.) Find the probability that exactly 2 registers in the sample are read-only.

D.) Find the probability that at least 1 sector is read-only

Solutions

Expert Solution

(a) The number of different possible sample may be given as the combination

(b) Since there are 4 read-only sectors, therefore the number of non read only sectors are (16-4)=12. Now the probability that all the 3 samples are selected from non read only sectors may be given by

that is there is 39.29% probability that there are no read only sectors selected in the sample.

Hence there is 12.86% probability that there are exactly 2 read-only sectors are selected in the sample.

(d) If A represents the number of selected read only sector in the sample then the required probability may be represented as

Hence there is 25.36% probablity that there is at least 1 read-only sector is in the sample.

orchestra answered 1 year ago

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