SOLUTION: a package contains 12 resistors, 3 of which are defective. if 4 are selected find the probability of getting a. 0 defective b. 1 defective c. 3 defective

Algebra ->  Probability-and-statistics -> SOLUTION: a package contains 12 resistors, 3 of which are defective. if 4 are selected find the probability of getting a. 0 defective b. 1 defective c. 3 defective       Log On


   

Question 383966: a package contains 12 resistors, 3 of which are defective. if 4 are selected find the probability of getting
a. 0 defective
b. 1 defective
c. 3 defective
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The probability for a defective resistor is,
P%28D%29=3%2F12=0.25
The probability for a non-defective resistor is,
P%28ND%29=0.75
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.
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Find the probabilities for defective resistors from 0 to 4 out of 4 total.
P%280%29=1%2A%280.75%29%5E%284%29%2A%280.25%29%5E%280%29=0.3164
P%281%29=4%2A%280.75%29%5E%283%29%2A%280.25%29%5E%281%29=0.4219
P%282%29=6%2A%280.75%29%5E%282%29%2A%280.25%29%5E%282%29=0.2109
P%283%29=4%2A%280.75%29%5E%281%29%2A%280.25%29%5E%283%29=0.0469
P%284%29=1%2A%280.75%29%5E%280%29%2A%280.25%29%5E%284%29=0.0039
.
.
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a)P%280%29=0.3164
b)P%281%29=0.4219
c)P%283%29=0.0469