The speed with which utility companies can resolve problems is very important. G
ID: 3442743 • Letter: T
Question
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 68% of the cases. Suppose the 14 cases reported today are representative of all complaints.
How many of the problems would you expect to be resolved today? (Round your answer to 2 decimal places.)
What is the probability 8 of the problems can be resolved today? (Round your answer to 4 decimal places.)
What is the probability 8 or 9 of the problems can be resolved today? (Round your answer to 4 decimal places.)
What is the probability more than 9 of the problems can be resolved today? (Round your answer to 4 decimal places.)
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 68% of the cases. Suppose the 14 cases reported today are representative of all complaints.
Explanation / Answer
the speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 68% of the cases. Suppose the 14 cases reported today are representative of all complaints.
Binomial distribution used
n=14
P=0.68
a-1. How many of the problems would you expect to be resolved today? (Round your answer to 2 decimal places.)
Expectation = np = 9.52
Number of Problems =9.52
a-2. What is the standard deviation? (Round your answer to 4 decimal places.)
Variance = np(1 - p) = 3.0464
Standard deviation = 1.7454
Standard Deviation =1.7454
Binomial Probabilities Tablefor p=0.68
X
P(X)
0
0.0000
1
0.0000
2
0.0000
3
0.0004
4
0.0024
5
0.0102
6
0.0326
7
0.0793
8
0.1474
9
0.2088
10
0.2219
11
0.1715
12
0.0911
13
0.0298
14
0.0045
b. What is the probability 8 of the problems can be resolved today? (Round your answer to 4 decimal places.)
Probability P(x=8) =0.1474
c. What is the probability 8 or 9 of the problems can be resolved today? (Round your answer to 4 decimal places.)
Probability P( x=8 or x=9) =0.1474+0.2088 =0.3562
d. What is the probability more than 9 of the problems can be resolved today? (Round your answer to 4 decimal places.)
P( x >9) =P( x=10)+P( x=11)+P(x=12)+P(x=13)+P(x=14)
= 0.2219+0.1715+0.0911+0.0298+0.0045
=0.5187
Binomial Probabilities Tablefor p=0.68
X
P(X)
0
0.0000
1
0.0000
2
0.0000
3
0.0004
4
0.0024
5
0.0102
6
0.0326
7
0.0793
8
0.1474
9
0.2088
10
0.2219
11
0.1715
12
0.0911
13
0.0298
14
0.0045
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.