Question

Part 1 Select the appropriate discrete probability distribution. If using a binomial distribution, use the constant probability from the collected data and assume a fixed number of events of 20. If using a Poisson distribution, use the applicable mean from the collected data. art 2 Using the mean and standard deviation for the continuous data, identify the applicable values of X for the following: Identify the value of X of 20% of the data, identify the value of X for the top 10% of the data, and 95% of the data lies between two values of X.

Mean 4.84 Median 4

Standard Deviation 3.161645141 Sample Variance 9.996

Data

1.5

1.2

2.3

2.7

3.5

4.5

6

7.8

9.4

9.5

Answer 1

1. Identify the value of X of 20% of the data :

there are 10 values and 20% is 2 , lower 2 values are 1.2 and 1.5

therefore 20% of the data lies in X<=1.5

2. identify the value of X for the top 10% of the data

top 10% in 10 values = top 1 value

the top 1 value = 9.5

therefore top 10% of the data is X>=9.5

3. 95% of the data lies between two values of X

finding 95% confidence interval :

P.S. (please upvote if you find the answer satisfactory)