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1. The amount of gold found by miners in Alaska per 1,000 tons of dirt follows...

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.

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