Question

Approximately 10.3% of American high school students drop out of school before graduation. Choose 10 students...

Approximately 10.3% of American high school students drop out of school before graduation. Choose 10 students entering high school at random. Find the probability that at least 6 graduate

A.0.9981

B.0.9043

C.0.9463

D.0.9772

Math   Statistics-And-Probability   
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Answer #1

Answer:

Given that:

Approximately 10.3% of American high school students drop out of school before graduation. Choose 10 students entering high school at random.

The probability that a student droups out of school before graduation = 10.3/100=0.103

So, the probability that a student becomes graduate =1-0.103=0.897

Let X be the number of students graduate.Now X Binomial distribution with probability of success (p) =0.897

Now,the probability that at least 6 graduates

Hence the probability that at least 6 students graduate is 0.9981

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