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REVIEW UNIT 8 PROBABILITY AND STATISTICS

Total questions: 13

Worksheet time: 39mins

Name
Class
Date
1.

Sue paid $25,000 for her car and kept a record of its value.


Assuming the pattern continues, which equation best models the curve of best fit for the data?

a)

y = 25213(0.863)x

b)

y= 22000(0.862)x

c)

y= 16000(0.138)x

d)

y=12000(1.7)x

2.

Given the data in the table, what type of function would best represent the data?

What is the equation for the curve of best fit?

How many Americans will be over 100 in 2025?

a)

499 Americans

b)

262 Americans

c)

y=34.9457(1.08389)xy=34.9457(1.08389)^x

d)

y=0.4018x21.175x+48.3429y=0.4018x^2-1.175x+48.3429

3.

How many different combinations of sandwich, side, and beverage are possible for lunch?

(a)  

4.

Find the number of possibilities.


The batting order for nine players on a 10 person team.

(a)  

5.

Then find the number of possibilities.


Charlotte has homework assignments in six subjects. She only has time to do four of them.

(a)  

6.

A normally distributed data set has µ=25 and σ=2.5.

What would be the value of an element of this data set with z-score = -2?

(a)  

7.

Scores for a civil service exam are normally distributed. Approximately what percentage of the scores, rounded to the nearest whole number, are within three standard deviations of the mean?

a)

98.7%

b)

99.7%

c)

89.8%

d)

79.8%

8.

The height of a population is normally distributed with a mean height = 67” and a standard deviation = 3.3”. What percent of the population is under 70”?

a)

85.38%

b)

82.85%

c)

83.81%

d)

81.83%

9.

Check all that apply.

An incoming freshman took her college's placement exams in French and mathematics. In French, she scored 82 and in math 86. The overall results on the French exam had a mean of 72 and a standard deviation of 8, while the mean math score was 68, with a standard deviation of 12. On which exam did she do better compared with the other freshmen?


Find the z-score for each.

On which exam did she do better compared with the other freshmen?

a)

1.25

b)

1.4

c)

1.5

d)

French

e)

Math

10.

The weights of miniature horses are roughly normally distributed with a mean of 230 pounds and standard deviation of 45 pounds.

What percent of miniature horses weigh less than 140 pounds?

a)

2.5%

b)

2.75%

c)

2%

d)

1.5%

11.

A normally distributed data set has µ=50 and σ=5.


What percent of the data falls between 40 and 60?



(a)  

12.

Yearling Angus steers had a mean weight of 1152 pounds with a standard deviation of 84 pounds.

What's the actual weight of an animal whose z-score is - 1.5?


(a)   pounds

13.

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. The length of time spent in the store is normally distributed and is represented by the variable x. A shopper enters the store.

If 200 shoppers enter the store, how many shoppers would you expect to be in the store for between 24 and 54 minutes?

Round your answer to the nearest whole number.

a)

200

b)

173

c)

147

d)

101