. Suppose that about 20% of those called will find an excuse (work, poor health, travel out of town, etc.) to avoid jury duty. If 14 people are called for jury duty, what is the probability that all 14 will be available to serve on the jury? Round your answer to three decimal places.

Question

. Suppose that about 20% of those called will find an excuse (work, poor health, travel out of town, etc.) to avoid jury duty. If 14 people are called for jury duty, what is the probability that all 14 will be available to serve on the jury? Round your answer to three decimal places.

0.035
0.044
0.000
0.055
1.000
please help

Answer 1

the answer is .0.0439805 so its .044

Answer 2

To find the probability that all 14 people will be available to serve on the jury, we need to multiply the probabilities of each person being available.

Given that the probability of each person being available is 1 minus the probability of finding an excuse, which is 1 - 0.20 = 0.80.

Therefore, the probability that all 14 people will be available is:

0.80 * 0.80 * 0.80 * ... (14 times)

To calculate this, we can simply raise 0.80 to the power of 14.

P(all 14 available) = 0.80^14

Using a calculator or a spreadsheet, we can find:

P(all 14 available) ≈ 0.035

So the answer is 0.035, which corresponds to the choice: 0.035