Question

How many different committees can be formed from 8 teachers and 30 students if the committee consists of 4 teachers and 2 students

          How many different committees can be formed from 8 teachers and
30 students if the committee consists of 4 teachers and 2
students
        

Added by John H.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Transcript

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00:01 Here, in this question, this question is about a large chain retailer who purchase a certain kind of electronic devices from the manufacturer.
00:16 And here, in the solution of this question, we need to solve the binomial expression.
00:22 So for part a, as given p is equal to 0 .03.
00:28 And only for the sample size n, which is 20.
00:31 So our probability for getting at least one defective item among these 20.
00:51 So our probability of this event will be as p.
00:54 X is greater than or equal to 1, which can be simplified as for the complementary event.
01:00 1 minus probability of getting x is equal to 0, which is equal to 1 minus 0.
01:10 20 into 0 .03 to the power of 0 multiplied by 1 minus 0 .03 and its power will be 20 minus 0.
01:27 So for the when we calculate r value will be equal to 0 .456.
01:34 So let's take this event as probability of the event e1.
01:38 So here we have our solution for part a that our event, probability of the event is equal to 0 .456...
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