Finding the Area under the Normal Curve

Finding the Area under the Normal Curve

Multiple Choice

The test scores for a civil service exam are normally distributed with a mean of 152 and a standard deviation of 7. Find the standard z-score for a person with a score of 161

• 0

• -0..52

• 1.29

Multiple Choice

The test scores for a civil service exam are normally distributed with a mean of 152 and a standard deviation of 7. Find the standard z-score for a person with a score of 148

• 0

• -0..57

• 1.29

Multiple Choice

The test scores for a civil service exam are normally distributed with a mean of 152 and a standard deviation of 7. Find the standard z-score for a person with a score of 152

• 0

• -0..57

• 1.29

Multiple Choice

Find the area under the standard normal curve to the left of z = -2.30

• 0.9893

• 0.0107

Multiple Choice

Find the area under the standard normal curve to the right of z = -2.30

• 0.9893

• 0.0107

Multiple Choice

Find the probability under the normal curve: P(z>-1.88)

• 0.9699

• 0.0301

Multiple Choice

Find the indicated probability using the standard normal curve.

P((-1.45<z<1.45)

• 0.8529

• 0.4265

Multiple Choice

Find the indicated probability using the standard normal curve.

P((0<z<1.45)

• 0.0107

• 0.4265

Putting it all together:

1. A survey indicates that for each trip to the supermarket, a shopper spends an average of 45 minutes with a standard deviation of 12 minutes in the store. The length of time spent in the store is normally distributed and is represented by the variable x. A shopper enters the store. Find the probability that the shopper will be in the store for between 24 and 54 minutes.

2

Find the probability that the shopper will be in the store more than 39 minutes if µ = 45 minutes and σ = 12 minutes