Question

question 1 options: aaron is required to be tested for covid-19 once per week for the next six weeks, for his job. the false positive rate for covid lab tests is assumed to be .01. using binomial probability, and assuming he does not actually become infected, what is the probability that aaron gets at least one false positive test during this time? a. identify p, n, and x. put the answer to this question in blank 1. b. what is the probability that aaron gets at least one false positive test during this time? put the answer to this question in blank 2.

Answer 1

To calculate the probability that Aaron gets at least one false positive test during the next six weeks, we can use the binomial probability formula. The probability of getting at least one false positive test is 1 minus the probability of getting zero false positive tests in six weeks. The probability can be calculated as 1 - (0.99^6).

Step-by-step explanation:

To calculate the probability that Aaron gets at least one false positive test during this time, we can use the binomial probability formula. The formula is:

P(X ≥ x) = 1 - P(X < x)

Where P(X ≥ x) is the probability of getting at least x successes, P(X < x) is the probability of getting less than x successes.

In this case, x = 0 because we want to find the probability of getting at least one false positive test.

The probability of getting a false positive test is 0.01, which can be represented as a success in this case.

The number of trials, n, is 6 because Aaron is tested once per week for 6 weeks.

So, the probability that Aaron gets at least one false positive test during this time is:

P(X ≥ 1) = 1 - P(X < 1)

P(X ≥ 1) = 1 - P(X = 0)

P(X ≥ 1) = 1 - (0.99^6)

=0.0585