Question

1. The amount of gold found by miners in Alaska per 1,000 tons of dirt follows a normal distribution with a mean of 12 ounces and a standard deviation of 2.75 ounces.

What is the probability the miners find less than 8 ounces of gold in the next 1,000 tons of dirt excavated? Include 4 decimal places in your answer.

2. The length of time it takes a shopper to find a parking spot in the Costco parking lot follows a normal distribution with a mean of 4.5 minutes and a standard deviation of 1.2 minutes.

What is the probability that a randomly selected shopper will take less than 2 minutes to find a parking spot? Include 4 decimal places in your answer.

3. The length of time it takes a shopper to find a parking spot in the Costco parking lot follows a normal distribution with a mean of 4.5 minutes and a standard deviation of 1.2 minutes.

What is the probability that a randomly selected shopper will take longer than 3 minutes to find a parking spot? Include 4 decimal places in your answer.

4. The true length of boards cut at a mill with a listed length of 8 feet is normally distributed with a mean of 97 inches and a standard deviation of 2 inches.

What is the probability that a randomly selected board will be longer than 95 inches? Include 4 decimal places in your answer.

5. The true length of boards cut at a mill with a listed length of 8 feet is normally distributed with a mean of 97 inches and a standard deviation of 2 inches.

What is the probability that a randomly selected board will be between 92 and 95 inches in length? Include 4 decimal places in your answer.

Answer 1