Alegbra 2 - DeltaMath Normal Distribution

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of 8. What percentage of males in the town that have a systolic blood pressure between 100 and 111, to the nearest tenth?

12.4%

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of people have an IQ score less than 85, to the nearest tenth?

15.9%

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 40 minutes and a standard deviation of 4 minutes. What percentage of customers have to wait longer than 49 minutes, to the nearest tenth?

1.2%

On a standard exam, the scores are normally distributed with a mean of 750 and a standard deviation of 40. Find the z-score of a person who scored 690 on the exam.

-1.5

On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 25. Find the z-score of a person who scored 230 on the exam.

-2.8

The weight of oranges growing in an orchard is normally distributed with a mean weight of 7.5 oz. and a standard deviation of 1 oz. What percentage of the oranges from the orchard weigh less than 5 oz., to the nearest tenth?

0.6%

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 5. What percentage of males in the town that have a systolic blood pressure higher than 131, to the nearest tenth?

11.5%

The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1600 hours and a standard deviation of 20 hours. What percentage light bulbs last less than 1560 hours, to the nearest tenth?

2.3%

When Micaela runs the 400 meter dash, her finishing times are normally distributed with a mean of 81 seconds and a standard deviation of 1.5 seconds. What percentage of races will her finishing time be faster than 80 seconds, to the nearest tenth?

25.2%

In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviation of 5 inches. What percentage of the students are taller than 72 inches tall, to the nearest tenth?

34.5%

When Brandon goes bowling, his scores are normally distributed with a mean of 175 and a standard deviation of 13. What percentage of the games that Brandon bowls does he score less than 187, to the nearest tenth?

82.2%

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 110 and a standard deviation of 5. What percentage of males in the town that have a systolic blood pressure higher than 105, to the nearest tenth?

84.1%

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 10 minutes and a standard deviation of 3 minutes. What percentage of customers have to wait between 5 minutes and 14 minutes, to the nearest tenth?

86.1%

When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 3 seconds. What percentage of races will his finishing time be between 69 and 75 seconds, to the nearest tenth?

47.7%

When Parker commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 36 minutes and a standard deviation of 3.5 minutes. What percentage of his commutes will be between 36 and 43 minutes, to the nearest tenth?

47.7%

At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 16 minutes and a standard deviation of 5 minutes. What percentage of customers have to wait less than 8 minutes, to the nearest tenth?

5.5%

When Hassan commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 45 minutes and a standard deviation of 4.5 minutes. What percentage of his commutes will be shorter than 38 minutes, to the nearest tenth?

6%

In an all boys school, the heights of the student body are normally distributed with a mean of 71 inches and a standard deviation of 2 inches. What percentage of the students are between 66 and 68 inches tall, to the nearest tenth?

6.1%

When Jamar commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 23 minutes and a standard deviation of 5 minutes. What percentage of his commutes will be between 13 and 26 minutes, to the nearest tenth?

70.3

In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. What percentage of the students are shorter than 74 inches tall, to the nearest tenth?

90.9%

When Sophie commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 2 minutes. What percentage of her commutes will be shorter than 45 minutes, to the nearest tenth?

97.7%

When Chee goes bowling, her scores are normally distributed with a mean of 155 and a standard deviation of 12. What percentage of the games that Chee bowls does she score less than 181, to the nearest tenth?

98.5%

The weight of orange growing in an orchard is normally distributed with a mean weight of 7.5 oz. and a standard deviation of 1 oz. What is the probability that a randomly selected orange from the orchard weight between 6 oz. and 8 oz., to the nearest thousandth?

0.625%

When Alexa commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 34 minutes and a standard deviation of 3.5 minutes. What percentage of her commutes will be longer than 35 minutes, to the nearest tenth?

38.8%