**MATH231 Homework Assignment #9**

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Question 1 Correct Mark 1.00 out of 1.00

**Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.**

### Question 2 Correct Mark 1.00 out of 1.00

**Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.**

### Question 3 Correct Mark 1.00 out of 1.00

**Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.**

### Question 4 Correct Mark 1.00 out of 1.00

**Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.**

### Question 5 Correct Mark 1.00 out of 1.00

**Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.**

Shaded area is 0.9599.

### Question 6 Correct Mark 1.00 out of 1.00

**Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.**

Shaded area is 0.4013.

### Question 7 Correct Mark 1.00 out of 1.00

**Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.**

Shaded area is 0.0694.

### Question 8 Correct Mark 1.00 out of 1.00

**Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.**

Shaded area is 0.4483.

### Question 9 Correct Mark 1.00 out of 1.00

**If z is a standard normal variable, find the probability.**

The probability that z lies between 0 and 3.01

### Question 10 Correct Mark 1.00 out of 1.00

**If z is a standard normal variable, find the probability.**

The probability that z is less than 1.13

### Question 11 Correct Mark 1.00 out of 1.00

**If z is a standard normal variable, find the probability.**

The probability that z is greater than -1.82

### Question 12 Correct Mark 1.00 out of 1.00

**The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of**

**at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below (denoted by negative numbers) and some give readinbove (denoted by positive numbers). Assume that the mean reading is and the standard deviation of the readings is Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.**

If 7% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the temperature that separates the rejected thermometers from the others

**Category:**Mathematics, General Mathematics

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