I need assistance with question 8 and 9 For question 8 I hav

I need assistance with question 8 and 9. For question 8 I have attached the data it is asking for. For question 9 I have added the values, please write out the comparison of the data for question 9. Thanks a ton!

8. Using al 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) 9. 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. Explain how they are related in a short paragraph of several complete sentences. (4 points) Mean from question #2: 4.371 Standard deviation from question #2: 1.139 Mean from question #5: 5 Standard deviation from question #5: 1.581 Comparison and explanation:

Solution

8. Since probability of getting head in each toss is constant, number of tosses is finite and each toss is independent, this is a binomial experiment.

9. The mean and standard deviations are different in question 2 and question 5 because in question 5, the mean and sd was calculated by theoritical method. When experiment is repeated large number of times, then only the practical values can be equal to theoritical values.