The data attached is from observations of a supermarket "self-checkout" line at random times of day for 25 selected days, for a total of 75 observations. A data value of 1 means there was 1 person in line, a data value of 2 means there were 2 people in line, etc.
(OPTIONAL) Organize the data from the Excel file. If you have access to Excel, sorting it will be a BIG help. (You can find instructions online or use the help menu to find out how to sort the data.) You do NOT need Excel to do this assignment, but you are welcome to use it if it is familiar to you.
(OPTIONAL) Make a frequency table, and add a column for relative frequency. (As a refresher, look back at the Module 2 material in the eBook about relative frequency tables.) You can do this in Excel or with your TI-83/84 calculator. This relative frequency distribution from empirical (observational) data can now be used as a discrete probability distribution. Let x = the number of people in line at the self-checkout.
What is the probability P(x > 2)? Express the probability as a decimal, rounded to three places. (2 points)
Find P(x is no more than 12). Express the probability as a decimal, rounded to three places. (2 points)
Number of People Frequency Relative Frequency
0 27 0.36
1 20 0.266
2 8 0.106
3 4 0.053
4 2 0.026
5 2 0.026
6 2 0.026
7 4 0.053
8 2 0.026
9 2 0.026
10 0 0
11 0 0
12 0 0
13 0 0
14 0 0
15 0 0
16 1 0.013
17 1 0.013