Week#5:
Question 1: A team of 10 members, 3 are men and 7 are women. A committee of 4 people will be chosen randomly. What is the probability that the committee will have atleast two men on it?
Question 2: In this experiment, you flip a fair coin four times. Make a tree diagram of this experiment. What is the probability that out of four coin tosses, you get exactly two heads in a row?
Week#5: Question 1: A team of 10 members, 3 are men and 7 are women. A...
A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of members is mage randomly, use the Hypergeometric distribution to answer the following questions. 1. What is the probability that exactly 4 men are chosen for the committee? 2. What is the probability that 3 or fewer men are chosen for the committee? Round to 4 decimal places.
A committee of 5 people is to be selected from 6 women and 7 men. Find the probability thata) all committee members are men.
In a club with 12 male and 8 female members, a 7-member committee will be randomly chosen. Find the probability that the committee contains 2 men and 5 women. : The probability that it will consist of 2 men and 5 women is (Round to four decimal places as needed.)
In a club with 8 male and 12 female members, a 7-member committee will be randomly chosen. Find the probability that the committee contains 2 men and 5 women. The probability that it will consist of 2 men and 5 women is (Round to four decimal places as needed.)
In a club with 9 male and 11 female members, a 7-member committee will be randomly chosen. Find the probability that the committee contains 2 men and 5 women. The probability that it will consist of 2 men and 5 women is D. (Round to four decimal places as needed.)
1. A fair coin is tossed three times. Let A be the event that there are at least two heads in the three tosses and let B be the event that there are exactly two heads among the three tosses. a. Draw the complete tree diagram for this experiment. [3] b. What are the sample space and probability function for this experiment? [5] c. Compute P(A), P(B), P(A|B), and P(B|A). [7]
1. A fair coin is tossed three times. Let A be the event that there are at least two heads in the three tosses and let B be the event that there are exactly two heads among the three tosses. a. Draw the complete tree diagram for this experiment. [3] b. What are the sample space and probability function for this experiment? [5] c. Compute P(A), P(B), P(A|B), and P(B|A). [7]
22. Committee A committee consisting of four women and three men will randomly select two people to attend a conference in Hawaii. Find the probability that both are women.
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.)
In a club with 7 male and 10 female members, a 5-member committee will be randomly chosen. Find the probability that the committee contains at least 4 women.