# Assume That X Has A Normal Distribution, And Find The Indicated Probability

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## Question: Assume That X Has A Normal Distribution, And Find The Indicated Probability

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### QUESTION 1

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

The mean is ? = 60.0 and the standard deviation is ? = 4.0.

Find the probability that X is less than 53.0.0.04010.08020.95990.5589

### QUESTION 2

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

The mean is ? = 15.2 and the standard deviation is ? = 0.9.

Find the probability that X is greater than 17.0.98210.97720.97130.0228

### QUESTION 3

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

1. 0.84850.87080.89070.1292

1 points

### QUESTION 4

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

1. 0.17880.35760.64240.8212

1 points

### QUESTION 5

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?47.72%37.45%97.72%2.28%

1 points

### QUESTION 6

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?0.06680.93320.43320.0596

1 points

### QUESTION 7

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

1. 0.570.25-0.57-0.25

### QUESTION 8

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

1. 1.261.451.481.39

1 points

### QUESTION 9

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

The probability that z lies between -2.41 and 00.09480.49200.49100.5080

1 points

### QUESTION 10

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

The probability that z lies between 0.7 and 1.980.21751.73410.2181-0.2181

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