Question

It is reported that 94% of the people working in a certain industry use computers at work. Choose 4 workers at random. Find the probability that at least one does not use a computer at work.HINT: First, use multiplication to find the probability that all four do use computers.Then, because of the Rule for Complementary Events, the probability that at least one does not use computers will be 1 – this probability.

Answer 1

0.22

Step-by-step explanation:

Following the hint, we will calculate the probability that all four do use computers. Since 94% of the people working use computers, the probability that all 4 four use computers is equal to:

P(4 use computer) = 0.94 x 0.94 x 0.94 x 0.94

P(4 use computer) = 0.78

Then, by the rule for complementary events, the probability that at least one doesn't use computers is:

P(at least 1) = 1 - P(4 use computers)

P(at least 1) = 1 - 0.78

P(at least 1) = 0.22

Therefore, the answer is 0.22