Question: A computer program has a bug in either routine 1 or 2 with probability 0.8 and 0.2, respec- tively. Ten students are available to find

A computer program has a bug in either routine 1 or 2 with probability 0.8 and 0.2, respec- tively. Ten students are available to find it independently. Assume that each student has a probability of 0.2 to find the bug in a routine if it is there.

(a) What is the probability of finding the bug if five students are assigned to each routine?

(b) Tohavethelargestprobabilityoffindingthebug,howshouldthestudentsbedistributedbetween

the two routines? Determine the corresponding probability.

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