Question

QUESTION 29 In the following binomial situation, identify n. "In a ational survey, 3 of 10 college students admit to having tried marijuana. What is the probability that 15 college students in a local sample of 60 have tried it?" OA.n.. 10 OC, n= 60 OD, n = 15

Answer 1

For, being a Binomial Distribution a distribution should satisfy these conditions:

1. The number of observation should be fixed.
2. Each observation represent one of the two outcomes (i.e. "success" or "failure") .
3. Each observation should be independent .
4. The probability of "success" should be same for each outcome .

If these conditions are followed by a distribution ,said to be binomial distribution

which is abbreviated as $B(n,~p)$

where, $n$ is the number of observation (or number of trials) and

$p$ is the probability of success .

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Now, considering above question ;

since, here it is given that this is a binomial distribution ;

and "60" college students are chosen as sample (i.e. $"n" ~=60$) in which number of successes are "15" .

Here, It should be noted that here "60" is the sample (number of trials i.e. "n") and 3 of 10 students admits having Marijuana which is the $"p"$(probability of success) .

Ans : $n ~=60$ .