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. Isnotar diwory grit de 310 (a) what is the probability of selecting a 0.01 µF capacitor, given that box 2 is selected? instaliona (b) If a 0.01 µF capacitor is selected, what is the probability it came from box 3? (Use Bayes' and total probability theorems.) genn Number of box Value(µF DIOHDO Bino Totals 1 2 0.01 20 95 140 0.1 55 35 165 1 70 80 295 Total 145 210 (2-600 3 25 75 145 245

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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.
laldi
bid 101 bsan cumle 1810
Ordioga
(a) what is the probability of selecting a 0.01 µF capacitor, given that box 2 is selected?
1901 19020 FEB 10
(b) If a 0.01 µF capacitor is selected, what is the probability it came from box 3? (Use Bayes'
and total probability theorems.)
vd balioga vintoban
Number of box
Value(µF
(H089 2010 Do
to inqTotals
1
2
0.01
20
95
140 voliot
0.1
55
35
165
1
70
80
295
Total
145
210
(600
3
25
75
145
245
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. laldi bid 101 bsan cumle 1810 Ordioga (a) what is the probability of selecting a 0.01 µF capacitor, given that box 2 is selected? 1901 19020 FEB 10 (b) If a 0.01 µF capacitor is selected, what is the probability it came from box 3? (Use Bayes' and total probability theorems.) vd balioga vintoban Number of box Value(µF (H089 2010 Do to inqTotals 1 2 0.01 20 95 140 voliot 0.1 55 35 165 1 70 80 295 Total 145 210 (600 3 25 75 145 245
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