In three boxes are capacitors as shown in Table below. An experiment consists of first randomly selecting a box, assuming each has the same likelihood of selecting, and then selecting a capacitor from the chosen box. Issigoloid, tot to s al 1810 Anze1 alioga (a) what is the probability of selecting a 0.01 µF capacitor, given that box 2 is selected? (b) If a 0.01 µF capacitor is selected, what is the probability it came from box 3? (Use Bayes' and total probability theorems.) loge vinobuen qanu Number of box Value(μF Totals 2000 1 2 3 ne olamaz od ro 0.01 20 95 25 140 ngrivoliot 0.1 55 35 75 165 1 70 80 145 295 Total 145 210 245 600

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
In three boxes are capacitors as shown in Table below. An experiment consists of first
randomly selecting a box, assuming each has the same likelihood of selecting, and then
selecting a capacitor from the chosen box.
dwom
Issigoloid, tot bozu
12501810
Juo lioga
(a) what is the probability of selecting a 0.01 µF capacitor, given that box 2 is selected?
onsor
(b) If a 0.01 µF capacitor is selected, what is the probability it came from box 3? (Use Bayes'
and total probability theorems.)
toga vimobus
genus
Number of box
Value(μF
Totalsutius
1
2
3
201
one slamne si 1900
bliot
0.01
20
95
25
140
BY FER
0.1
55
35
75
1
70
80
145
Total
145
210
245
to xed s moi borosloa vimounst ar wolad ongi ni
31
165
295
600
Transcribed Image Text:In three boxes are capacitors as shown in Table below. An experiment consists of first randomly selecting a box, assuming each has the same likelihood of selecting, and then selecting a capacitor from the chosen box. dwom Issigoloid, tot bozu 12501810 Juo lioga (a) what is the probability of selecting a 0.01 µF capacitor, given that box 2 is selected? onsor (b) If a 0.01 µF capacitor is selected, what is the probability it came from box 3? (Use Bayes' and total probability theorems.) toga vimobus genus Number of box Value(μF Totalsutius 1 2 3 201 one slamne si 1900 bliot 0.01 20 95 25 140 BY FER 0.1 55 35 75 1 70 80 145 Total 145 210 245 to xed s moi borosloa vimounst ar wolad ongi ni 31 165 295 600
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON