Question

a) Based on the probability of an error provided in the quality summary under call quality using a sample size of 15, predict the probability of both < 2 errors or errors using the correct discrete probability distribution. Assume calls are either correct or incorrect.

b) Using the call time mean and standard deviation from the quality sample, find the probability of a call time < 7min, between 7 and 9 min, and > 9 min.

c) Calculate and evaluate the 95% confidence interval for the mean from the call time data.

Call Quality	Frequency	Relative Frequency
Correct	850	.850
Incorrect	150	.150

  

Overall Type of Calls	Frequency	Relative Frequency
Check coverage of policy	25625	0.2679
Check status of claim	22654	0.2368
Update address	18723	0.1957
File a claim	13499	0.1411
Update info on claim	6200	0.0648
Update policy	5126	0.0536
Cancel policy	3842	0.0402

Call Errors	Frequency	Relative Frequency
Incorrect coverage of quote -COV	54	0.36
Incorrect capture of claim -CLM	42	0.28
Did not transfer to “Save a Policy” - SAV	32	0.21
Incorrect claim status provided - STAT	22	0.15

Answer 1