The United States Senate has 45 Republicans and 55 Democrats. If we need to make a committee of 10 people, what is the probability that the committee will consist of 4 Republicans and 6 Democrats?

A city council consits of five Democrats and five Republicans. If a committee of six people is selected, find the probability of selecting three Democrats and three Republicans?

A box contains 3 black spheres and 4 white spheres. Given that you have already selected 1 black sphere, what is the probability of selecting 2 white spheres?

In the US Congress, the Senate consists of 13 women and 87 men. The President randomly selects members of the Senate to sit in on his meetings. What is the probability of selecting 3 consecutive women? After selecting each person, you do not place them back in the selection pool.

QUESTION 3 A wholesaler must decide how many computers to purchase before they know how many they will be able to sell to local retailers. The wholesaler purchases the computers for S300 each and sells them to retailers for $350 each. If the wholesaler is not able to sell them to a retailer then the wholesaler can return them to the manufacturer (for a refund of the S300 cost), but the wholesaler must pay $40 per computer that it returns to the manufacturer (in shipping, handling, and insurance costs). The following probability distribution describes the number of computers the wholesaler may possibly sell to local retailers: there is a 21% chance that they will sell 900 computers, a 56% chance that they will sell 1200 computers; otherwise, they will sell 1500 computers. What is the expected number of computers the wholesaler will sell? (please round your answer to 1 decimal place)

25 of 30 The following graph shows the mean change in mass of two groups of animals fed on different diets over a period of 2 years: Time course of mass change 275 250 225 200 175 150 125 100 0 3 69 12 15 18 21 24 Time (months) Which of these is the most misleading property of this graph? OThe errors vary between data points. O A best fit curve wasn't shown The interpolating lines have different styles. False zero None of these is relevant to this graph. Mass (g) HH H HH HH HH

A bag contains different colored candies.  There are 50 candies in the bag, 28 are red, 10 are blue, 8 are green and 4 are yellow.  What is the probability of choosing one candy and getting a blue?

A club of 56 people has 40 men and 16 women. What is the probability the board of directors, consisting of 8 members, contains no women?

A product is designed to have length of 14cm+/0.12cm. the output of the manufacturing process is identified to be centered at 14.0.042cm and the standard deviation is estimated at 0.014cm. determine the capability of the system Cp

An undergraduate research committee consisting of 4 people is to be formed form 12 doctoral students and 4 supervisors. Find the probability that the committee will consist of exactly 2 doctoral students.