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- 1. A carpenter measures (unifomly) within an eighth of an inch before cutting a piece of wood designed for a cabinet. However, the cut must be within a sixteenth of an inch to be useable. What is the probability that the piece cut by the carpenter is usable?

- 2. If you guess on each of the 12 questions on a quiz, what is the probability that you will get 8 or more correct answers? There are four choices in every question, and only one of them is correct. (Hint: This is a binomial problem)

- 3. Consider Problem (2). Determine the probability of exactly 5 correct answers.

- 4. Consider Problem (2). What is the variance of the number of correct answers?

- 5. The amount paid out by Ajax Insurance Company in a given year is normally distributed with mean 6 billion dollars and standard deviation .5 billion dollars. They consider it a bad year if they have to pay out more than 7.25 billion dollars. Determine the probability of a bad year. (Hint: Use one of the probability distributions in the Class Codes)