Question

In: Math

Membership selection. A town council has 11 ​members, 6 Democrats and 5 Republicans. ​(A) If the...

Membership selection. A town council has 11 ​members, 6 Democrats and 5 Republicans.

​(A)

If the president and​ vice-president are selected at​ random, what is the probability that they are both​ Democrats?

​(B)

If a​ 3-person committee is selected at​ random, what is the probability that Republicans make up the​ majority?

Solutions

Expert Solution


Related Solutions

Membership selection. A town council has 13 ​members, 7 Democrats and 6 Republicans. ​(A) If the...
Membership selection. A town council has 13 ​members, 7 Democrats and 6 Republicans. ​(A) If the president and​ vice-president are selected at​ random, what is the probability that they are both​ Democrats? ​(B) If a​ 3-person committee is selected at​ random, what is the probability that Republicans make up the​ majority?   
In a town, 36% of the citizens contributed to the Republicans, 46% contributed to the Democrats,...
In a town, 36% of the citizens contributed to the Republicans, 46% contributed to the Democrats, and 12% contributed to both. What percentage contributed to neither party? A box contains 4 white, 3 red, and 3 black marbles. One marble is chosen at random, and it is not black. Find the probability that it is white. (Enter your answer as a fraction.) Suppose that 90% of drivers are "careful" and 10% are "reckless." Suppose further that a careful driver has...
A city council consists of eight Democrats and eight Republicans. If a committee of six people...
A city council consists of eight Democrats and eight Republicans. If a committee of six people is? selected, find the probability of selecting four Democrats and two Republicans.
the intergalactic council has 30 members; there are 13 Balin, 11 Calin, and 6 Daylist. They...
the intergalactic council has 30 members; there are 13 Balin, 11 Calin, and 6 Daylist. They want to pick 5 council members to study the possibility of inducting the Macklarks, into the intergalactic council This group will have a team leader and 2nd in-charge, and 3 team members a) how many ways can the 5 council members be picked b) how many ways can they pick the 5 council members, if the leader and 2nd in-charge, first then pick the...
There are 10 democrats and 8 Republicans on a senate committee. From this group a 5-...
There are 10 democrats and 8 Republicans on a senate committee. From this group a 5- member subcommittee is to be formed. Find the number of 5-person subcommittee that consists of: a)Any members of the senate committee. b)Democrats only. c)3 Republicans and 2 Democrats. d)At least 4 democrats. e)John Edwards,who is a Democrat, and any 4 Republicans f)What is the probability that the 5-members subcommittee will include 3 Republicans and 2 Democrats?
Four republicans, 8 democrats, and 5 independents are randomly rated in a row. What is the...
Four republicans, 8 democrats, and 5 independents are randomly rated in a row. What is the probability that 1. the first 5 seats are taken by the democrats? 2. none of the first 5 seats is taken by democrats? 3. the final 3 seats are taken by a republican, and an independent 4.all republicans are seated together
4 republicans, 8 democrats, and 5 independents are randomly rated in a row. What is the...
4 republicans, 8 democrats, and 5 independents are randomly rated in a row. What is the probability that 1. the first 5 seats are taken by the democrats? 2. none of the first 5 seats is taken by democrats? 3. the final 3 seats are taken by a republican, and an independent 4.all republicans are seated together
The Town of Brown has the following financial transactions: 1. The town council adopts an annual...
The Town of Brown has the following financial transactions: 1. The town council adopts an annual budget for the general fund estimating general revenues of $2.0 million, approved expenditures of $1.6 million, approved transfers pf $150,000. 2. The town levies property taxes of $1.5 million. It expects to collect all but 4% of these taxes during the year. Of the levied amount, $50,000 will be collected next year but after more than 60 days. 3. The town orders three new...
A country club has a membership of 500 members and operates facilities that include a swimming...
A country club has a membership of 500 members and operates facilities that include a swimming pool and a gymnasium. The club president would like to know how many members regularly use the facilities. A survey of the members indicates that 70% regularly use the swimming pool (S), 50% regularly use the gymnasium (G), and 5% use neither of these facilities regularly. Calculate the probability of the club members who use the facilities of the swimming pool and gymnasium P(S∩G).           ...
Using the following sample data; 6, 7, 11, 6, 11, 5, 15, 11, 5; Compute the...
Using the following sample data; 6, 7, 11, 6, 11, 5, 15, 11, 5; Compute the sample standard deviation using either the computing formula or the defining formula. A. 3.6 B. 3.5 C. 3.4 D. 3.3
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT