A warehouse employs 27 workers on first shift, 18 workers on second shift, and 14 workers on third workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first-shift workers. The probability of choosing exactly five first-shift workers is (Round to three decimal places as needed.)

An urn contains 3 white balls and 7 red balls. A second urn contains 8 white balls and 2 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.8. If the ball is white, find the probability that the second urn was selected. (Round your answer to three decimal places.)

In a recent poll of voters, 20% were displeased with both candidates. If 3 people were picked at random. find the probability that at least one liked one of the candidates.

Use the following information to answer the next question. A committee of 3 people is to be randomly selected from a group of 8 people, including Sarah. 12. Determine the probability that Sarah is selected to be on the three-person committee.

The tickets in a box have an average value of 75, and the SD is 10. Twenty-five draws are made at random with replacement from this box. Find the chance that the average of the draws will be in the range 65 to 85.

A warehouse employs 28 workers on first shift, 17 workers on second shift, and 11 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first-shift workers. The probability of choosing exactly five first-shift workers is (Round to three decimal places as needed.)