(1 pt) A three-person committee is chosen at random from a group of 9 women and...
A committee of four is chosen at random from a group of 7 women and 5 men. Find the probability that the committee contains at least one man.
1. (a) A committee of 6 people is to be chosen at random in a Club which has a membership of 20 men and 30 women. What is the probability that 6 marks 6 marks 8 marks] (b) In a factory there are three machines which produce bolts. Machine A pro- duces 50% of the bolts and of these 2% are faulty. Machine B produces 20% of the bolts and of these 1.5% are faulty, and Machine C produces 30%...
A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. The committee must consist of at least 3 women and at least 2 men. (a) How many different committees are possible? (b) What is the probability that the committee consists of 2 men and 4 women?
A committee of 7 is chosen from 9 men and 8 women. The number of committees that contain at least 6 men is: A 708 B 602 C 954 D 552
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.)
6. (10 points The department of CSE is forming sors. The committee is to be chosen uniformly at random from the current faculty pool consisting of 40 men and 30 women. Answer the questions below (exact values are not required, expressions will suffice): a new committee of 10 profes (a) What is the probability that Prof. Smith is chosen in the committee? (b) What is the probability that the committee has at least one woman? Bonus: (2 extra points) What...
A committee of 3 people is selected at random from 4 men and 8 women. What is the probability that the the committee contains both men and women given that the committee is not composed of all men?
A committee of five people is to be chosen from four married couples. a) How many different committees are there? b) What is the probability that a committee consists of three women and two man ? (4) 1. c) What is the probability that a committee has exactly one of married couples? d) What is the probability that a committee has at least one of married couples?
Two people are selected at random from a group of seven women and nine men. Find the probability of the following. (See Example 9. Round your answers to three decimal places.) (a) both are men or both are women (b) at least one is a woman
Choosing officers: A committee consists of eleven women and seven men. Five committee members will be chosen as officers. a. How many different choices are possible? b. How many different choices are possible if all the officers are to be women? c. How many different choices are possible if all the officers are to be men? d. What is the probability that all the officers are women?! e. What is the probability that at least one officer is a man?