Question

At Denver International Airport, 86% of recent flights have arrived on time. A sample of 11 flights is studied. What is the variance in a sample of 11 flights? Round your answer to 2 decimal places if needed.

Answer 1

`s^2=1.32`

Explanation:

-This is a binomial probability distribution problem.

-Given that p=0.86 and n=11, the sample variance can be calculated using the formula:

`\sigma^2=np(1-p)`

#We substitute the given parameters in the formula to solve for variance:

`\sigma^2=np(1-p)\\\\\\=11* 0.86(1-0.86)\\\\=1.324\approx1.32`

Hence, the sample variance is 1.32