Each potential participant on a TV show like “Jeopardy” is given three tests of skill, T1,...

Each potential participant on a TV show like “Jeopardy” is given three tests of skill, T1, T2, T3 and receives a number on each test: 0 if Fail and 15 if Pass. The results on the three tests are averaged.

a. Describe the elements of a suitable sample space and the random variable X which represents the potential participant’s average score.
b. Find the probability mass function of X if the tests are independent of each other and the probability of failing each test is given by P(failing T1) = .8, P(failing T2) = .6, P(failing T3) = .5.

Expert Solution

b.

orchestra answered 2 years ago

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