Question

What is the probability that among 15 randomly chosen such individuals, at least 10 have no citations? (Round your answer to three decimal places.) (a 5,x b b), found you."

Answer 1

To find the probability that at least 10 individuals have no citations, use the binomial probability formula and subtract the probability of fewer than 10 individuals having no citations from 1. The probability is approximately 0.597.

Step-by-step explanation:

To find the probability that at least 10 individuals have no citations, we need to calculate the probability that 10, 11, 12, 13, 14, or 15 individuals have no citations. We can do this by subtracting the probability of fewer than 10 individuals having no citations from 1.

Using the binomial probability formula, we can calculate the probability of fewer than 10 individuals having no citations:

1. Find the probability of having no citations: p = 1 - 0.719 = 0.281
2. Use the binomial probability formula: P(X < 10) = binomcdf(15, 0.281, 9)
3. Calculate the probability of at least 10 individuals having no citations: P(X >= 10) = 1 - P(X < 10)
4. Round the answer to three decimal places.

The probability that at least 10 individuals have no citations is approximately 0.597.