There are six bins of resistors, the number of each type of resistor per bin is
ID: 3242836 • Letter: T
Question
There are six bins of resistors, the number of each type of resistor per bin is shown in the table below: A bin is chosen at random, then a resistor is chosen at random from the bin. Assume each bin has equal probability and each resistor within a bin has equal probability. Using a combination of conditional probability, Bayes theorem and total probability answer the following: a. What is the probability of selecting a 100 ohm resistor given that bin 4 is selected? b. What is the probability of selecting a 1000 ohm resistor? c. Given the selected resistor was 10 ohms, what is the probability it came from bin 1?Explanation / Answer
Bin Number
Total
Ohms
1
2
3
4
5
6
10
500
0
200
800
1200
1000
3700
100
300
400
600
200
800
0
2300
1000
200
600
200
600
0
1000
2600
Total
1000
1000
1000
1600
2000
2000
8600
Question a)
P ( 100 ohm | bin 4) = 200/1600
= 0.125
Answer: 0.125
Question b)
P ( 1000 ohm) = 2300 / 8600
= 0.2674
Answer: 0.2674
Question c)
P ( 10 ohm | bin 1) = 500/1000
= 0.5
Answer: 0.5
Bin Number
Total
Ohms
1
2
3
4
5
6
10
500
0
200
800
1200
1000
3700
100
300
400
600
200
800
0
2300
1000
200
600
200
600
0
1000
2600
Total
1000
1000
1000
1600
2000
2000
8600
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