Question: 5. (5 points) A computer program has a bug in either routine 1 or 2 with probability 0.8 and 0.2, respec- tively. Ten students are

5. (5 points) A computer program has a bug in either

5. (5 points) 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) To have the largest probability of finding the bug, how should the students be distributed between the two routines? Determine the corresponding probability

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