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. (Points: 4)
0.035
0.044
0.000
0.055
1.000
The probability that all events would occur is found by multiplying the individual probabilities.
(1 - .20)^14 = ?
To find the probability that all 14 people will be available to serve on the jury, we need to multiply the probabilities of each individual being available.
Since 20% of people will find an excuse, the probability of any individual being available is 1 - 0.20 = 0.80.
To find the probability that all 14 people will be available, we multiply this probability 14 times:
0.80 * 0.80 * 0.80 * 0.80 * 0.80 * 0.80 * 0.80 * 0.80 * 0.80 * 0.80 * 0.80 * 0.80 * 0.80 * 0.80 ≈ 0.035
Therefore, the probability that all 14 people will be available to serve on the jury is approximately 0.035. So the correct answer is 0.035.