Using the excel template show the full steps to get the correct solution. Question: Yearly automobile inspections are required for residents of the state of Pennsylvania. Suppose that 12% of all inspected cars in Pennsylvania have problems that need to be corrected. Unfortunately, Pennsylvania state inspections fail to detect these problems 20% of the time. On the other hand, assume that an inspection never detects a problem when there is no problem. Consider a car that is inspected and is found to be free of problems. What is the probability that there is indeed something wrong that the inspection has failed to uncover?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 16E: Consumer Preference In a population of 100,000 consumers, there are 20,000 users of Brand A, 30,000...
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Using the excel template show the full steps to get the correct solution.

Question: Yearly automobile inspections are required for residents of the state of Pennsylvania. Suppose that 12% of all inspected cars in Pennsylvania have problems that need to be corrected. Unfortunately, Pennsylvania state inspections fail to detect these problems 20% of the time. On the other hand, assume that an inspection never detects a problem when there is no problem. Consider a car that is inspected and is found to be free of problems. What is the probability that there is indeed something wrong that the inspection has failed to uncover?

A20
HNM J
2
te
1 Automobile inspections
8
19
3 Given Probabilities:
4 P(inspected car has problems)
X
lem
erfe
5 P(inspected car has no problems)
6
P(no problem found | inspected car has problems)
7
Ready
P(problem found | inspected car has problems).
P(no problem found | inspected car has no problems)
P(problem found | inspected car has no problems)
BI U B
✓fx 2. Provide a brief clarification discussion about your results.
P9-05
A
9
10
11 1. The goal is to find P(inspected car has problems | no problem was found).
12
P9-39
ν
13 P(inspected car has problems | no problem was found) =
14
15
16
17
P(inspected car has problems AND no problem found)/P(no problem found) =
P(no problem found inspected car has problems)*P(inspected car has problems)/
(P(no problem found inspected car has problems)*P(inspected car has problems) +
inspected car has no problems)*P(inspected car has no problems))
which is equal to ...(results)
P(no problem found
18
19
20 2. Provide a brief clarification discussion about your results.
21
22
23
24
25
26
27
> Module 3
+
A
Α΄ Α
О.
A
А
| 120
DE DE
==
三面
87
B
Probability
% -
Number
C
4
H
Tell me
Conditional F
Format as Tab
Cell Styles ✓
E
F
Transcribed Image Text:A20 HNM J 2 te 1 Automobile inspections 8 19 3 Given Probabilities: 4 P(inspected car has problems) X lem erfe 5 P(inspected car has no problems) 6 P(no problem found | inspected car has problems) 7 Ready P(problem found | inspected car has problems). P(no problem found | inspected car has no problems) P(problem found | inspected car has no problems) BI U B ✓fx 2. Provide a brief clarification discussion about your results. P9-05 A 9 10 11 1. The goal is to find P(inspected car has problems | no problem was found). 12 P9-39 ν 13 P(inspected car has problems | no problem was found) = 14 15 16 17 P(inspected car has problems AND no problem found)/P(no problem found) = P(no problem found inspected car has problems)*P(inspected car has problems)/ (P(no problem found inspected car has problems)*P(inspected car has problems) + inspected car has no problems)*P(inspected car has no problems)) which is equal to ...(results) P(no problem found 18 19 20 2. Provide a brief clarification discussion about your results. 21 22 23 24 25 26 27 > Module 3 + A Α΄ Α О. A А | 120 DE DE == 三面 87 B Probability % - Number C 4 H Tell me Conditional F Format as Tab Cell Styles ✓ E F
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