Normal Distribution and Probability

It was reported that the weekly income of Uber drivers followed the normal distribution with a mean of $1,000

and a standard deviation of $100. What is the z value corresponding to to x = $1,000?

• 1

• -1

• 0

• cannot be determined

It was reported that the weekly income of Uber drivers followed the normal distribution with a mean of $1,000

and a standard deviation of $100. What is the z value corresponding to to x = $1,100?

• 1

• -1

• 0

• cannot be determined

Find the z-score.

Mean = 40

Standard Deviation: 1.4

x = 42

• 1.43

• 1.28

• -1.4

• 1.24

Steve took his math test and scored an 88. If the class average was a 78 with a standard deviation of 5, what percent of students earned a grade that was higher than Steve's grade?

• 97.5%

• 93%

• 5%

• 2.5%

Use the image of the normal graph provided. What is the value of the mean?

• 6

• 34

• 52

• 70

Use the image of the normal graph provided. What is the value of the standard deviation?

• 6

• 12

• 36

• 18

• 15.87%

• 15.39%

• 9.68%

• 84.61%

What is the probability that a score is above (right of) 2.37?

• .0116

• .0089

• .0068

• .0051

What is the probability that a score is above (right of) -.64?

• .2643

• .7357

• .7389

• .2611

What is the z-score that corresponds to 80.23% of the data to the left?

• .86

• .85

• .83

• .80