3. A committee is formed consisting of four executives, two women (Susan and Mary) and two men (Bill and Peter). A chairperson and a secretary are selected randomly by drawing straws a) List the sample space and the outcomes comprising each of the following events (you can use shorthand notation for names, a table etc.) A fa woman is appointed chairperson, B-Bi is appointed secretary, C Mary is appointed secretary, AUB,AUBUC, AnB, BnC, AUB, AnB'. b) Find the probabilities of...
(5) 3. A committee is formed consisting of four executives, two women (Susan and Mary) and two men (Bill and Peter). A chairperson and a secretary are selected randomly by drawing straws. a) List the sample space and the outcomes comprising each of the following events (you can use shorthand notation for names, a table etc.) A fa woman is appointed chairperson), B- (Bill is appointed secretary), C Mary is appointed secretary), AUB, AUBUC, AnB, Bnc, AUB, AnB' ). b)...
Choose the correct statements. There are 2(n!)2 ways to order n men and n women if men and women alternate as in (man, woman, man, woman. There are (2n)! factorial ways to order n men and n woman if men and women alternate, (man,woman,man,woman,...) or (woman, man, woman, .) 7 There are 2y o53163y possible variables in a C program f every variable has eight or fewer characters, contains uppercase letters, lowercase letters, digits, and underbars, and the first character...
(20) 5. A company has 7 applicants for 3 positions. Two are women and five are men. Suppose the applicants are equally qualified, and no preference is given for choosing either gender. Let x equal the number of women chosen to fill the 3 positions. Show your work. (4) a. Find the probability that both women and one man are hired. (6) b. Construct a bar chart for w = number of women chosen. (Hint: w=0, w = 1, w...
1. In a certain business there are bosses and workers, women and men. If a person is picked at random, the probability of being a boss is .20. If a person is picked at random, the probability of being a woman is 40. Fill in the below table's joint probabilities, assuming work status and gender are independent. Bosses Workers Women Men 2. If the probability of picking someone who is a woman and a boss is.10, what is the probability...
(4 points) From a group of 8 men and 6 women a committee consisting of 4 men and 3 women is to be formed. How many different committees are possible if (a) 2 of the men refuse to serve together? answer: (a) 2 of the women refuse to serve together? answer: (a) 1 man and 1 woman refuse to serve together? answer:
Question 4: There are 10 women and 15 men in an office. In how many ways a team of a man and a woman can be selected?
5. Stability of marriage. There are four men, α, β, γ, δ, and four women, A, B,C,D, The first number of each second number is the ranking of men by the women. For example, a-male ranks women C on third place, while C ranks α on the first place. A marriage profile is a pairing of men to women. A marriage profile is stable if there is no pair of a man and a woman who are not married to...
Question Helpo A financial services committee had 60 members, of which 9 were women. If 7 members are selected at random, find the probability that the group of 7 would be composed as the following a. 4 men and 3 women b. 6 men and 1 woman c. at least one woman The probability that the group will consist of 4 men and 3 women is (Round to four decimal places as needed.)
A group consists of six men and six women. Four people are selected to attend a conference. a. In how many ways can four people be selected from this group of twelve ? b. In how many ways can four women be selected from the six women? c. Find the probability that the selected group will consist of all women? Thank You please show work