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Normal distribution AP

Authored by Hamza Jamil

Mathematics

12th Grade

Used 3+ times

Normal distribution AP
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8 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

68%
34%
16%
2.5%

2.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last 6 days or less?

68%
34%
16%
2.5%

3.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

 28,000 km and 32,000 km.
24,000 km and 34,000 km.
26,000 km and 34,000 km.
27,000 km and 31,000 km.

4.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

Media Image

What is the area under the curve between z = 0 and z = 1.45?

.9265
.4265
.4500
.5000

5.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

Media Image

How is the graph distributed?

Normally

Skewed to the Left

Skewed to the Right

Uniform

6.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
What is the probability the next male long jumper from State College jumps longer than 270 inches?

0.1888
0.3085
0.8035
0.3585

7.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
How far did a male long jumper for State College jump if his jump was 1.68 standard deviations below the mean?

236.96 inches
239.48 inches
286.52 inches
289.04 inches

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