Question

1. Suppose your customers' incomes are normally distributed with a mean of $37,500 with a standard deviation of $7,600. What is the probability that a randomly chosen customer earns less than $36,000? (Round your answer to three decimal places, eg 0.192.)

2. **A continuous random variable X has a normal
distribution with mean 12.25. The probability that X takes a value
less than 13.00 is 0.82. Use this information and the symmetry of
the density function to find the probability that X takes a value
greater than 11.50.** Enter your answer as a number rounded
to two decimal points, e.g. 0.29.

3. **Z is distributed as a standard normal
variable. Use Excel to find** Pr(Z**<
-0.8****6)**. Enter your answer as a decimal
rounded to three decimal places, e.g. 0.268.

4. Given a sample with a mean of 0 and a standard deviation of
1, find **Pr(2.47 < Z < 2.49)**. Enter your
answer as a decimal rounded to four decimal places, e.g.
0.2912.

5.

Find the indicated probability for a binomial random variable X. Round your answer to three decimal places, e.g. 0.628.

P(X < 2) when the number of trials (n) is 3 and the probability of success (p) is 0.7.

6. Your car seats 5 people, including the driver. You have 8 friends who all need you to drive them somewhere. How many different ways could your friends arrange themselves in the 4 available seats in your car, assuming only one person per seat? (Enter your answer as a whole number.)

Answer #1

According to the rules only one question will be answered

QUESTION 24
Z is distributed as a standard normal variable. Use
Excel to find Pr(Z > 0.59). Enter your answer as a
decimal rounded to three decimal places, e.g. 0.268.
QUESTION 25
Given a sample with a mean of 57 and a
standard deviation of 8, calculate the following probability using
Excel. Note the sign change. Round your answer to
three decimal places, e.g. 0.753.
Pr(53 < X < 70)
QUESTION 26
Given that Z is drawn from a standard...

1. A distribution of values is normal with a mean of 110.8 and a
standard deviation of 33.5.
Find the probability that a randomly selected value is less than
20.7.
P(X < 20.7) =
Enter your answer as a number accurate to 4 decimal places. *Note:
all z-scores must be rounded to the nearest hundredth.
2. A distribution of values is normal with a mean of 2368.9 and
a standard deviation of 39.4.
Find the probability that a randomly selected...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 499 and a standard deviation of
97. Randomly selected men are given a Test Prepartion Course before
taking this test. Assume, for sake of argument, that the test has
no effect. If 1 of the men is randomly selected, find the
probability that his score is at least 557.2. P(X > 557.2) =
Enter your answer as a number accurate to 4 decimal places. NOTE:...

6. Assume that the weights of coins are normally distributed
with a mean of 5.67 g and a standard deviation 0.070 g. A vending
machine will only accept coins weighing between 5.48 g and 5.82 g.
What percentage of legal quarters will be rejected by the machine?
Give your answer in the percentage format (using % symbol), rounded
to two decimal places.
7. Assume that values of variable x are normally distributed,
with the mean μ = 16.2 and the...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 483 and a standard deviation of
101. Randomly selected men are given a Test Prepartion Course
before taking this test. Assume, for sake of argument, that the
test has no effect.
If 1 of the men is randomly selected, find the probability that his
score is at least 550.8.
P(X > 550.8) =
Enter your answer as a number accurate to 4 decimal places. NOTE:...

1. A distribution of values is normal with a mean of 70.8 and a
standard deviation of 50.9.
Find the probability that a randomly selected value is less than
4.6.
P(X < 4.6) =
2. A distribution of values is normal with a mean of 66 and a
standard deviation of 4.2.
Find the probability that a randomly selected value is greater than
69.4.
P(X > 69.4) =
Enter your answer as a number accurate to 4 decimal places. Answers...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 492 and a standard deviation of
100. Randomly selected men are given a Test Prepartion Course
before taking this test. Assume, for sake of argument, that the
test has no effect.
If 1 of the men is randomly selected, find the probability that
his score is at least 533.3. P(X > 533.3) = ?
Enter your answer as a number accurate to 4 decimal places....

Scores for a common standardized college aptitude test are
normally distributed with a mean of 503 and a standard deviation of
110. Randomly selected men are given a Test Prepartion Course
before taking this test. Assume, for sake of argument, that the
test has no effect.
If 1 of the men is randomly selected, find the probability that his
score is at least 553.8.
P(X > 553.8) =
Enter your answer as a number accurate to 4 decimal places. NOTE:...

1. A particular fruit's weights are normally distributed, with a
mean of 601 grams and a standard deviation of 24 grams.
If you pick one fruit at random, what is the probability that it
will weigh between 562 grams and 610 grams.
2. A particular fruit's weights are normally
distributed, with a mean of 784 grams and a standard deviation of 9
grams.
The heaviest 7% of fruits weigh more than how many grams? Give your
answer to the nearest gram....

Given that X is a normally distributed variable with a
mean of 50 and a standard deviation of 2, find the probability that
X is between 47 and 54. There should be four decimal
places in your answer.

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