8. 250 randomly selected (130 male, 120 female) Skyline students were asked a yes or no question, the results are below: Male Female Total a.) Find P(A|B) b.) Find P(BIA) Yes 86 Let event A be "answering yes" No 28 Total Let event B be "Female" 1

The sample space listing the eight simple events that are possible when a couple has three children is​ {bbb, bbg,​ bgb, bgg,​ gbb, gbg,​ ggb, ggg}. After identifying the sample space for a couple having four​ children, find the probability of getting onegirland threeboys (in any order).   A. Identify the sample space for a couple having four children. ? (Use a comma to separate answers as​ needed.) B. Find the probability of getting one girl and three boys (in any order)? ​(Typean integer or a decimal. Do not​ round.)

A store purchases baseball hats from two different manufacturers in 3 different colors, summarized below. One hat is chosen at random. Give your answer as a decimal out to at least 4 places. Black Blue Red Total Manufacturer A 13 29 15 57 Manufacturer B 19 16 14 49 Total 32 45 29 106 a) Find the probability that the hat was was Red or was from Manufacturer B. b) Find P(RedC). c) Find P(Manufacturer B and Red). d) Find P(Manufacturer B or Red).

Of the approximately 300 million current U.S. residents, only about 30,000 have ever appeared in a movie. Only 30 of the current U.S. residents having appeared in a movie have ever won an Oscar for Best Actor, which is an award presented annually to the American actor who delivered the most outstanding performance in a leading movie role. A person is randomly selected from the current U.S. residents. Let M represent the event the selected individual has appeared in a movie. Let O represent the event the selected individual has ever won an Oscar for Best Actor. Order the following probabilities from smallest to largest. I. P(O) II. P(M) III. P(MO) IV. P(O|M) (A) I, III, II, IV (B) IV, II, I, III (C) IV, III, I, II (D) I, II, IV, III (E) IV, I, III, II

Male Female Total Orange 30 65 95 Green 12 25 37 Total 42 90 132 A group of 132 students at an elementary school were asked if they prefer the color orange to the color green. The results are shown in the table above. Given that a randomly selected survey participant is a male, what is the probability that this student prefers the color green?  (Enter your answer in fraction form.)

There are six horses running in a race, one of which is named GameStop. At the end of the race the complete order in which the first 4 horses finished is recorded. In how many outcomes does GameStop finish among the top 4 horses? (A) 240 (B) 2880 (C) 20 (D) 24 (E) 120 (F) 480 (G) 2520 (Н) 10 O A OB OD H. E.

Consider an experiment in which there are 4 groups and within each group there are 12 participants. What is the degrees of freedom for the denominator (within)?

In a lottery, the top cash prize was $659 million, going to three lucky winners. Players pick five different numbers from 1 to 57 and one number from 1 to 42. A player wins a minimum award of $450 by correctly matching three numbers drawn from the white balls (1 through 57) and matching the number on the gold ball (1 through 42) What is the probability of winning the minimum award? The probability of winning the minimum award is (Type an integer or a simplified fraction.)