Calculus and Above

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Answer these 4 questions. Show your work to receive partial credit.1. Dr. Gruner brings his old pocket watch to be repaired. The gears stopped and will not turn. What is the probability that the hour hand is between the 5 and the 8?

2. A basketball player makes baskets from the foul line 88% of the time. If she makes 8 attempts, what is the probability she will miss no more than twice?

3. Historically, the number of hurricanes hitting Boca Raton each year follows a Poisson distribution with a mean of 1.1. What is the probability that 3 or more hurricanes hit the town in a year?

4. For $16 you can play a game of chance: Draw a random number from 1 to 6 from a hat. You square the number you roll and you win that much cash. What is the expected value of such a game (take into account the cost to play)?Consider the following scenario and answer the following 4 two-part questions.The life of Sunshine CD players is normally distributed with a mean of 4.8 years and a standard deviation of 1.2 years. A CD player is guaranteed for 3 years.

1. We are interested in the length of time a CD player lasts.

a. Find the probability that a CD player will break down during the guarantee period. P(0

2. A basketball player makes baskets from the foul line 88% of the time. If she makes 8 attempts, what is the probability she will miss no more than twice?

3. Historically, the number of hurricanes hitting Boca Raton each year follows a Poisson distribution with a mean of 1.1. What is the probability that 3 or more hurricanes hit the town in a year?

4. For $16 you can play a game of chance: Draw a random number from 1 to 6 from a hat. You square the number you roll and you win that much cash. What is the expected value of such a game (take into account the cost to play)?Consider the following scenario and answer the following 4 two-part questions.The life of Sunshine CD players is normally distributed with a mean of 4.8 years and a standard deviation of 1.2 years. A CD player is guaranteed for 3 years.

1. We are interested in the length of time a CD player lasts.

a. Find the probability that a CD player will break down during the guarantee period. P(0

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