A quarterback for the seattle seahawks completes 54% of his passes. let the random variablle x be the number of passes completed in 20 attempts. conduct a stimulation of the 20 attempts using the following random digits. be sure to state how your assign your didgits

The complete question is:

"A quarterback for the Seattle Seahawks completes 54% of his passes. Let random variable X be the number of passes completed in 20 attempts. Conduct a simulation of the 200 attempts using the following random digits. Be sure to state how you assign your digits. 98726 10983 56239 42042 76520 68276 58239 48729 84912 87491

a) What proportions of passes were completed?

b) How does this compare with what "should have happened" theoretically?"

First, take 100 numbers, i. e. from 00 to 99, and set that the first 54% are completed passes, therefore from 00 to 53, and the remaining 46% are not completed passes, therefore from 54 to 99.

Now, divide the random digits until you compose 20 numbers: 98, 72, 61, 09, 83, 56, 23, 94, 20, 42, 76, 52, 06, 82, 76, 58, 23, 94, 87, 29.

Then, divide the numbers into the two set categories:

completed: 09, 23, 20, 42, 52, 06, 23, 94, 87 = 9 outcomes

not completed: 98, 72, 61, 83, 56, 94, 76, 82, 76, 58, 29 = 11 outcomes

A) Therefore, from the random digits you get 9/20 = 45% of completed passes and 11/20 = 55% of not completed passes.

B) Using the random digits, the simulation gave an outcome exactly opposite to what we expected.