# Suppose a student either has 1, 2, or 3 finals to take each with a respective probability of 0.16, 0.48, and 0.36. 1) What is a student’s expected

Suppose a student either has 1, 2, or 3 finals to take each with a respective probability of 0.16, 0.48, and 0.36.

1) What is a student’s expected number of finals?

Suppose a student either has 1, 2, or 3 finals to take each with a respective probability of 0.17, 0.46, and 0.37.

2) What is the standard deviation for number of finals?

Suppose you wanted to evaluate the performance of the three judges in Smallville, Texas: Judge Adams, Judge Brown, and Judge Carter. Over a three-year period in Smallville, Judge Adams saw 23% of the cases, Judge Brown saw 30% of the cases, and Judge Carter saw the remainder of the cases. 4% of Judge Adams’ cases were appealed, 6% of Judge Brown’s cases were appealed, and 8% of Judge Carter’s cases were appealed.

3) Given a case from this three-year period was not appealed, what is the probability the judge in the case was not Judge Brown?

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