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A television broadcasting service provides a prize to the 6'th caller that is able to answer a question that tests their knowledge and overall skill

A television broadcasting service provides a prize to the 6'th caller that is able to answer a question that tests their knowledge and overall skill level. For each of the callers, the probability that they are able to answer the question is denoted as i = 0.75

1) Let the number of calls that are necessary to determined the winner be L. Determine the probability mass function (PMF) of L.

2) Determine the probability of the winner being on the 10'th call.

3) Determine the probability of the broadcasting service needing higher than 8 calls to determine the winner.

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