SOLUTION: The Sky Ranch is a supplier of aircraft parts. Included in stock are 10 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected withou

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Question 1147919: The Sky Ranch is a supplier of aircraft parts. Included in stock are 10 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected without replacement. Let the random variable
x represent the number that are not correctly calibrated.
Complete the probability distribution table.
x={0,1,2,3}
P(x=0)=?
P(x=1)=?
P(x=2)=?
P(x=3)=?
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


(1) P(x=0)

Choose 3 of the 10 good ones and 0 of the 2 bad: %2810C3%2A2C0%29%2F12C3

(2) P(x=1)

Choose 2 of the 10 good ones and 1 of the 2 bad: %2810C2%2A2C1%29%2F12C3

(3) P(x=2)

Choose 1 of the 10 good ones and 2 of the 2 bad: %2810C1%2A2C2%29%2F12C3

(4) P(x=3)

Obviously not possible; this probability is 0

Use a calculator if necessary.

Note those are all the possible outcomes, so you can check your calculations by verifying that the sum of all the probabilities is 1.