Question

I need help answering questions A,B, and C at the borrom. How would I find them?

Overall Incoming Calls by Type	Frequency			Call Quality	Frequency		Call Errors	Frequency
Check coverage of policy	25625			Correct	850		Incorrect coverage quote (COV)	54
Check status of claim	22654			Incorrect	150		Incorrect capture of claim (CLM)	42
Update address	18723						Did not transfer to "Save a Policy" (SAV)	32
File a claim	13499						Incorrect claim status provided (STAT)	22
Update information on claim	6200
Update Policy	5126
Cancel Policy	3842

This is one of the tables given to me, the other has a log of all 150 incorrect calls and with call duration and reason for the call (STAT, SAV, COV, or CLM). Can you explain how I would find the answers below?

A. the probablity 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 >= 5 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.

Answer 1

ncorret Th probability of Catt Qealh A) APa15 O.15 Sarple of sige Prob ebaby PCx n 15 a is of 22 Emo (D.15 G-0-15)5-X caster 5-0/15) fo.15) (-015) 15- O.083 +0.2312 s0.0-82 O 3186 PCx)-P(x25) S. 4 15 Co.15)-0. 155-x ol.l 4fHe t-o.133 2

B) Mean S standand deviatfon 12 05 .502 a Calt time les than 1 min is, Probobity of 7-12.05 40502 ze-1.12) T 1314 Probatilihy of a Cat tiMé balwun 4&9 min 4-12.05 X-M9-12.05 450 4.602 r (0.682-12) (24-112)-P(ze-0.68) O.243-0134 Pobabiy Plx ad a Call-time belwcin gcatu tRan X- A > -12.05 4502 Plz-068) 1- P(z2-0-68) 3 1-0.2483 o1517

15./. Confidence interval for ean fom the Call tim data is, C 1 4.502 =12.05 ttt o5,15-1 T6 .05 12-05t 2.14 (16) 12-05t 2.48 (9.5, 14.53)