Twenty-three percent of the employees at a large biotech firm are working from home. a. In a sample of 50 employees, what is the probability that more than 20% of them are working from home? b. In a sample of 200 employees, what is the probability that more than 20% of them are working from home? c. Comment on the reason for the difference between the computed probabilities in parts a and b.

In a representative household telephone survey of 2,876 adults, 15% reported that they own at least one gun. Of those that own a gun, 3% own a handgun. Suppose that one of the 2,876 adults surveyed is randomly selected. a. What is the probability that the adult owns at least one gun? b. What is the probability that the adult owns at least one gun and the gun is a handgun? a. The probability that the adult owns at least one gun is (Simplify your answer. Type an integer or a decimal. Do not round.)

In the 2017 Seattle mayoral election, Ed Murray received 53.0% of the votes, Mike McGinn received 46.5% of the votes, and write-in candidates received the rest of the votes. Suppose we examine votes from randomly chosen people who voted in this election.   What is the probability that the first vote we examine is for Mike McGinn or for a write-in candidate?   Suppose we examine four randomly chosen votes. What is the probability that all four of the votes are for Ed Murray?   Suppose we examine four randomly chosen votes. What is the probability that none of the votes we examine is for Ed Murray?   Suppose we examine four randomly chosen votes. What is the probability that at least one of the votes we examine is for Ed Murray?

A box of 50 remote control devices contains 3 that have a defective power button. If devices are randomly sampled from the box and inspected one at a? time, determine the following probabilities.   a. The probability that the first control device is defective. b. The probability that the first control device is good and the second control device is defective. c. The probability that the first three sampled devices are all good.