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A drug test is accurate 98% of the time. If the test is given to 1700...

A drug test is accurate 98% of the time. If the test is given to 1700 people who have not taken drugs, what is the probability that at least 36 will test positive? Probability =

Math   Statistics-And-Probability   
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Answer #1

A drug test is accurate 98% of the time.

That means,

The probability that a person will test positive if he/she has not taken drugs = 1 - 0.98 = 0.02

Let X denotes the number of persons who will test positive if he/she has not taken drugs out of selected 1700 people.

X ~ Binomial(1700, 0.98)

The probability mass function of X is

Now,

If the test is given to 1700 people who have not taken drugs, what is the probability that at least 36 will test positive

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