**MATH231 Homework Assignment #10**

### 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?

**Category:**Mathematics, General Mathematics

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