## MATH 399N Week 4 Lab Assignment (2 Versions)

**Statistical Concepts:**

**Probability****Binomial Probability Distribution**

Calculating Binomial Probabilities

Plotting the Binomial Probabilities

- Create plots for the three binomial distributions above. You can create the scatter plots in Excel by selecting the data you want plotted, clicking on INSERT, CHARTS, SCATTER, then selecting the first chart shown which is dots with no connecting lines. Do this two more times and for graph 2 set Y equal to ‘one half’ and X to ‘success’, and for graph 3 set Y equal to ‘three fourths’ and X to ‘success’. Paste those three scatter plots in the grey area below. (12 points).

Calculating Descriptive Statistics

2. Calculate descriptive statistics for the variable (Coin) where each of the students 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. (4 points).

__Short Answer Writing Assignment – Both the calculated binomial probabilities and the descriptive statistics from the class database will be used to answer the following questions. Round all numeric answers to three decimal places.__

## STATUS

3. List the probability value for each possibility in the binomial experiment …__ at the beginning of this lab__, which was calculated with the probability of a success being ½. (Complete sentence not necessary; round your answers to three decimal places) (10 points).

4. Give the probability for the … based on the calculations __in question 3 above__, with the probability of a success being ½. (Complete sentence not necessary; round your answers to three decimal places) (12 points)

5. Calculate (by hand) the mean and standard deviation for the binomial distribution with the probability of a success being ½ and n = 10. Either show work or explain how your answer was … Use these formulas to do the hand calculations: Mean = *np*, Standard Deviation = (4 points).

6. Using all four of the properties of a Binomial experiment (see page 201 in the textbook) explain in a short paragraph of several complete sentences why the Coin variable from the class survey represents a binomial distribution from a binomial experiment. (4 points).

7. Compare the mean and standard deviation for the Coin variable (question 2) with those of the mean and standard deviation for the binomial distribution that was calculated by hand in question 5. … how they are related in a short paragraph of several complete sentences. (4 points).