Question

The computer lab has some new computers. From experience it had been determined that when computers...

The computer lab has some new computers. From experience it had been determined that when computers breakdown , the Dell’s do so 40% of the time; IBM computers break down 30% of the time and HP computers break down 30% of the time. What is the probability that in a random sample of 20 computers that break down,7 are from Dell,5 are from IBM and 8 from HP?

Math   Statistics-And-Probability   
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Answer #1

Here, we have fixed number of trials (n=20).

Each trial is independent of the other trials.

Each trial has 3 possible mutually exclusive outcomes and each outcome has a fixed probability, 40% of the time; IBM computers break down 30% of the time and HP computers break down 30% of the time.

The sum of these probabilities is 1:

0.40+0.30+0.30 = 1

Therefore, we can use Multinomial distribution.

Given:

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