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MATH 221 Binomial Probability Distribution Exercises

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MATH221 Statistics for Decision Making

Week 4 Lab

Name: _______________________

Statistical Concepts:

• Probability

• Binomial Probability Distribution

Calculating Binomial Probabilities

NOTE: For question 1, you will be using the same data file your instructor gave you

for the Week 2 lab.

1. Using the data file from your instructor (same one you used for the Week 2 lab),

calculate descriptive statistics for the variable (Coin) where each of the thirty-five

students in the sample flipped a coin 10 times. Round your answers to three decimal

places and type the mean and the standard deviation in the grey area below.

Mean: 4.457

Standard deviation: 1.597

NOTE: for questions 2-7, you will NOT be using the data file your instructor gave

you. Please follow the instructions given in each question.

Plotting the Binomial Probabilities

➢ For the next part of the lab, open the Week 3 Excel worksheet. This will be used for

the next few questions, rather than the data file used for the first question.

1. Click on the “binomial tables” workbook

2. Type in n=10 and p=0.5; this simulates ten flips of a coin where x is counting the

number of heads that occur throughout the ten flips

3. Create a scatter plot, either directly in this spreadsheet (if you are comfortable

with those steps), or by using the week 1 spreadsheet and copying the data from

here onto that sheet (x would be the x variable, and P(X=x) would be the y

variable.

4. Repeat steps 2 and 3 with n=10 and p=0.10

5. Repeat steps 2 and 3 with n=10 and p=0.90

6. In the end, you will have three scatter plots for the first question below.

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2. Create scatter plots for the binomial distribution when p=0.50, p=0.10, and p=0.90

(see directions above). Paste the three scatter plots in the grey area below.

0.05

0.1

0.15

0.2

0.25

0.3

0 2 4 6 8 10

p=0.5

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0 2 4 6 8 10

p=0.1

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1 MATH221 Statistics for Decision Making Week 4 Lab Name: _______________________ Statistical Concepts: • Probability • Binomial Probability Distribution Calculating Binomial Probabilities NOTE: For question 1, you will be using the same data file your instructor gave you for the Week 2 lab. 1. Using the data file from your instructor (same one you used for the Week 2 lab), calculate descriptive statistics for the variable (Coin) where each of the thirty-five students in the sample flipped a coin 10 times. Round your answers to three decimal places and type the mean and the standard deviation in the grey area below. Mean: 4.457 Standard deviation: 1.597 NOTE: for questions 2-7, you will NOT be using the data file your instructor gave you. Please follow the instructions given in each question. Plotting the Binomial Probabilities ➢ For the next part of the lab, open the Week 3 Excel worksheet. This will be used for the next few questions, rather than the data file used for the first question. 1. Click on the “binomial tables” workbook 2. Type in n=10 and p=0.5; this simulates ten flips of a coin where x is counting the number of heads that occur throughout the ten flips 3. Create a scatter plot, either directly in this spreadsheet (if you are comfortable with those steps), or by using the week 1 spreadsheet and copying the data from here onto that sheet (x would be the x variable, and P(X=x) would be the y variable. 4. Repeat steps 2 and 3 with n=10 and p=0.10 5. ...
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Tags: probability binomial probability Distribution statistics statistics for decision making