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

6. 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 between 3 and 5 minutes to find a parking spot? Include 4
decimal places in your answer.
7. The amount of gold found by miners in Alaska
per 1,000 tons of dirt follows...

The length of time it takes college students to find a parking
spot in the library parking lot follows a normal distribution with
a mean of 6.5 minutes and a standard deviation of 1 minute.
a. Find the probability that it will take a randomly selected
college student more than 4.0 minutes to find a parking spot in the
library parking lot.
b. Find the probability that a randomly selected college student
will find a parking spot in the library...

The length of time it takes a college student to find a parking
spot in the student center parking lot follows a non-normal
distribution with a mean of 3.0 minutes and a standard deviation of
1 minute. Find the probability that the mean time to find a parking
spot in the student center parking lot is less than 2.0 minutes for
a randomly selected sample of 100 students

Part 1: The length of time it takes to find a parking space at 9
A.M. follows a normal distribution with a mean of 6 minutes and a
standard deviation of 3 minutes.
Find the probability that it takes at least 9 minutes to find a
parking space. (Round your answer to four decimal
places.)
Part 2: The length of time it takes to find a parking space at 9
A.M. follows a normal distribution with a mean of 5...

Suppose the weights of Farmer Carl's potatoes are normally
distributed with a mean of 7.9 ounces and a standard deviation of
1.3 ounces.
(a) If 4 potatoes are randomly selected, find the probability
that the mean weight is less than 9.3 ounces.
Round your answer to 4 decimal places.
(b) If 7 potatoes are randomly selected, find the probability
that the mean weight is more than 8.5 ounces.
Round your answer to 4 decimal places.

Suppose the weights of Farmer Carl's potatoes are normally
distributed with a mean of 8.1 ounces and a standard deviation of
1.2 ounces.
(a) If 5 potatoes are randomly selected, find the probability
that the mean weight is less than 9.8 ounces.
Round your answer to 4 decimal places.
(b) If 8 potatoes are randomly selected, find the probability that
the mean weight is more than 9.4 ounces.
Round your answer to 4 decimal places.

Suppose the weights of Farmer Carl's potatoes are normally
distributed with a mean of 7.8 ounces and a standard deviation of
1.2 ounces.
(a) If 5 potatoes are randomly selected, find the probability
that the mean weight is less than 8.9 ounces.
Round your answer to 4 decimal places.
(b) If 7 potatoes are randomly selected, find the probability that
the mean weight is more than 9.2 ounces.
Round your answer to 4 decimal places.

The length of time it takes to find a parking space at 9 A.M.
follows a normal distribution with a mean of 5 minutes and a
standard deviation of 3 minutes. Sixty percent of the time, it
takes more than how many minutes to find a parking space? (Round
your answer to two decimal places.)

The amount of cereal dispensed into "16-ounce" boxes of
Captain Crisp cereal was normally distributed with mean
16.18 ounces and standard deviation 0.25 ounces.
a. What proportion of boxes are "underfilled"?
That is, what is the probability that the amount dispensed into a
box is less than 16 ounces? Give your answer to 4 decimal
places.
b. Find the probability that exactly 3 out of 9
randomly and independently selected boxes of cereal contain less
than 16 ounces. Give your...

The length of time it takes to find a parking space at 9 A.M.
follows a normal distribution with a mean of 6 minutes and a
standard deviation of 2 minutes.
Eighty percent of the time, it takes more than how many minutes to
find a parking space? (Round your answer to two decimal
places.)
min

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