Free Printable Col Stats Review- Normal, Binomial, and Geom Distributions

Worksheets

Col Stats Review- Normal, Binomial, and Geom Distributions

Total questions: 38

Worksheet time: 1hrs 4mins

Name

Class

Date

What shape is a normal distribution curve?

Half curve

Round curve

Bell curve

Square curve

What is the percentage of data that falls within one standard deviation of the mean?

67%

65%

72%

68%

What is the percentage of data that falls within two standard deviations of the mean?

68%

99.7%

95%

98%

What is the percentage of data that falls within three standard deviations of the mean?

99.7%

98.7%

95%

100%

The Empirical Rule's percents are:

68-95.7-99

68-95-99.7

68.7-95-99

The Empirical (68-95-99.7) Rule can be applied only if data is ....

Normally Distributed

Uniform

Skewed

Symmetric

According to the empirical rule, what percentage of data falls within 1 standard deviation?

25%

68%

95%

99.7%

According to the empirical rule, how much of the data falls within 3 standard deviations?

25%

68%

95%

99.7%

Which of the following is a disadvantage of the Empirical Rule?

There is no result for 3 standard deviations.

It is very conservative.

There is no result for 1 standard deviation.

The data has to be approximately normal.

10.

When labeling the axis for a normal distribution curve, the notation $\sigma$ is used to represent standard deviation. What is this Greek letter $\sigma$ called?

Omega

Delta

Lowercase Sigma

Lowercase Omega

11.

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval?

1084 to 1216 pounds

1106 to 1150 pounds

1106 to 1194 pounds

1128 to 1172 pounds

12.

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

68%

99.7%

95%

84%

13.

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.

14.

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%

15.

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the proportion of golfers that are between 30 and 46 years old.

68%

94%

95%

99.7%

16.

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the proportion of golfers that are older than 42.

13.5%

16%

50%

85%

17.

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

There are 500 golf members at the Mathy Country Club. How many are younger than 34?

100

150

18.

If we want to calculate the probability of rolling a 6 for the first time on the 6^th roll of a die, would we use the geometric or the binomial distribution?

geometric

binomial

19.

Which of the following is false about binomial probabilities?

Their distributions are approximately symmetric.

Trials must be fixed.

Events musts be independent.

The probability of success must be 0.50

20.

When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times? Is this an example of binomial or geometric?

binomial

geometric

21.

Which one of these variables is a continuous random variable?

The time it takes a randomly selected student to complete an exam.

The number of tattoos a randomly selected person has.

The number of women taller than 68 inches in a random sample of 5 women.

The number of correct guesses on a multiple choice test.

22.

Which one of these variables is a discrete random variable?

Time it takes a randomly selected student to complete a multiple choice exam.

The heights of randomly selected students in the class.

Distance between the students' home and school.

Number of pairs of shoes a randomly selected person owns.

23.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

Yes

No, the trials are not independent.

No, there are more than 2 outcomes

24.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.

Yes

No, the trials are not independent.

No, there are more than 2 outcomes

25.

Which of the following is NOT an assumption of the Binomial distribution?

All trials must be independent.

Each trial must be classified as a success or a failure.

All trials are dependent on each other.

The number of successes in the trials is counted.

26.

If you want to know how many trials you will need before your first success, use the ????? model.

Geometric

Binomial

Normal

Calculator

27.

If you want a certain number of successes in a set amount of trials, use the ????? model.

geometric

binomial

normal

calculato

28.

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that the tenth blood donor is the first donor with Type B blood?

approximately 0.00

0.316

0.0385

0.279

29.

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood?

0.316

0.282

0.001

Not here

30.

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that at least 2 of the first 10 blood donors has Type B blood? (Hint: It may help to use the complement.)

0.088

0.697

0.214

0.303

31.

The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy specialty clothes for their pets. What is the probability that she does NOT sell a garment until the 7th customer? Assume each customer is independent.

0.033

0.027

0.0313

Not here

32.

The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy those clothes. The owner had 275 customers that day. Assuming this was a typical day, what is the mean and standard deviation of customers who buy specialty clothes?

11 customers, give or take 3.25

25 customers, give or take 24.5

11 customers, give or take 3.32

Not enough information.

33.

Bob is taking a 100 question test. They have a 90 % probability of getting any one question correct. WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70 questions correctly?

₁₀₀C₇₀ ( 0.18 )³⁰ ( 0.90 )⁷⁰

₁₀₀C₇₀ ( 0.10 )³⁰ ( 0.90 )⁶⁰

₁₀₀C₇₀ ( 0.10 )³⁰ ( 0.90 )⁷⁰

₉₉C₇₀ ( 0.10 )³⁰ ( 0.90 )⁷⁰

34.

32 percent of beach goers end up with some form of sunburn on any given day. Find the mean of a survey of 75 beach goers.

2600

I don't go to the beach

35.

32 percent of beach goers end up with some form of sunburn on any given day. Find the standard deviation of a survey of 75 beach goers.

16.32

17.14

4.04

36.

A test consists of 10 multiple choice questions with five choices for each question. As an experiment, you GUESS on each and every answer without even reading the questions.

What is the probability of getting exactly 6 questions correct on this test?

(10C6)(1/5)⁶(4/5)⁴

(10C5)(1/5)⁶(4/5)⁴

(10C6)(1/5)⁶(4/5)⁵

(10C5)(1/6)⁵(5/6)⁵

37.

When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times?

(100C25)(1/6)²⁵(5/6)⁷⁵

(100C25)(1/6)²⁵(5/6)¹⁰⁰

(100C4)(1/4)²⁵(3/4)⁷⁵

(100C4)(1/6)²⁵(5/6)⁷⁵

38.

Suppose that a quiz consists of 20 True-False questions. A student hasn't studied for the exam and will just randomly guesses at all answers (with True and False equally likely). How would you find the probability that the will student get 8 or fewer answers correct?

Find the probability that X=8 in a binomial distribution with n = 20 and p=0.5.

Find the area between 0 and 8 in a uniform distribution that goes from 0 to 20.

Find the probability that X=8 for a normal distribution with mean of 10 and standard deviation of √5

Find the cumulative probability for 8 in a binomial distribution with n = 20 and p = 0.5.

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Col Stats Review- Normal, Binomial, and Geom Distributions

Total questions: 38

Worksheet time: 1hrs 4mins

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