About 25% of those called will find an excuse to avoid jury duty. If 11 people are called for jury duty, what is the probability that all 11 will be available to serve on the jury? (Round your answer to three decimal places.)

P(chosen) = .75

P(all chosen) is therefore .75^11

To find the probability that all 11 people will be available to serve on the jury, we can multiply the probabilities that each individual will be available.

Given that 25% of those called will find an excuse to avoid jury duty, the probability that an individual will be available is 1 - 0.25 = 0.75.

So, the probability that all 11 people will be available is 0.75^11.

Calculating this value:

0.75^11 = 0.105

Therefore, the probability that all 11 people will be available to serve on the jury is approximately 0.105, rounded to three decimal places.

To find the probability that all 11 people called for jury duty will be available to serve on the jury, we need to multiply the probabilities of each individual being available.

The probability of one person being available is 1 - 0.25 = 0.75, as 75% of people will be available. Since we have 11 people, we need to multiply this probability by itself 11 times.

Therefore, the probability is (0.75)^11.

Calculating this expression, we find:

(0.75)^11 ≈ 0.105

So, the probability that all 11 people will be available to serve on the jury is approximately 0.105 or 10.5% (rounded to three decimal places).