### Question details

MATH231 Homework Assignment #10
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### Question 1 Correct Mark 1.00 out of 1.00

Provide an appropriate response.

Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).

### Question 2 Correct Mark 1.00 out of 1.00

Provide an appropriate response.

Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).

### Question 3 Correct Mark 1.00 out of 1.00

Provide an appropriate response.

Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). Find the probability that a randomly selected adult has an IQ between 90 and 120 (somewhere in the range of normal to bright normal).

### Question 4 Correct Mark 1.00 out of 1.00

Assume that X has a normal distribution, and find the indicated probability.

The mean is μ = 60.0 and the standard deviation is σ = 4.0.
Find the probability that X is less than 53.0.

### Question 5 Correct Mark 1.00 out of 1.00

Assume that X has a normal distribution, and find the indicated probability.

The mean is μ = 15.2 and the standard deviation is σ = 0.9.
Find the probability that X is greater than 15.2.

### Question 6 Correct Mark 1.00 out of 1.00

Assume that X has a normal distribution, and find the indicated probability.

The mean is μ = 15.2 and the standard deviation is σ = 0.9.
Find the probability that X is between 14.3 and 16.1.

### Question 7 Correct Mark 1.00 out of 1.00

Find the indicated probability.

The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches?

### Question 8 Correct Mark 1.00 out of 1.00

Find the indicated probability.

The incomes of trainees at a local mill are normally distributed with a mean of \$1100 and a standard deviation of \$150. What percentage of trainees earn less than \$900 a month?

### Question 9 Correct Mark 1.00 out of 1.00

Find the indicated probability.

The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a randomly selected pencil will be less than 0.285 inches?

### Question 10 Correct Mark 1.00 out of 1.00

Find the indicated probability.

The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days?