(a) Find the probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male. The probability that a randomly selected worker contributes to a retirement savings plan at work, given that the worker is male, is (Round to three decimal places as needed.) (b) Find the probability that a randomly selected worker is female, given that the worker contributes to a retirement savings plan at work.

Assume that when adults with smartphones are randomly selected, 48% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that at least 2 of them use their smartphones in meetings or classes. .... The probability is (Round to four decimal places as needed.)

Find the probability that a person flipping a coin gets (a) the sixth head on the twelfth flip, and (b) the first head on the ninth flip. (a) The probability that a person flipping a coin gets the sixth head on the twelfth flip is . (Round to four decimal places as needed.) (b) The probability that a person flipping a coin gets the first head on the ninth flip is (Round to four decimal places as needed.)

For 10 percent of the products in a category, a firm fails to satisfy all demand during themonth. What is its in-stock probability?

Assume that when adults with smartphones are randomly selected, 53% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes. The probability is 0.0905 (Round to four decimal places as needed.)

An insurance company found that 2.5​% of male drivers between the ages of 18 and 25 are involved in serious accidents annually. To simplify the​ analysis, assume that every such accident costs the insurance company ​$64,000 and that a driver can only have one of these accidents in a year. Complete parts​ (a) through​ (c).   (b) Suppose that the company writes​ 1,000 such policies to a collection of drivers. What is the probability that the company makes a profit on these​ policies? Assume that the drivers​ don't run into each other and behave independently.   ​P(profit)= ​(Round to five decimal places as​ needed.)

Assume that when adults with smartphones are randomly selected, 38% use them in meetings or classes. If 8 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes. (... The probability is (Round to four decimal places as needed.)