Politics. There are 10 senators (half Democrats, half Republicans) and 16 representatives (half Democrats, half Republicans) who wish to serve on a joint congressional committee on tax reform. An 8-person committee is chosen at random from those who wish to serve. (A) What is the probability that the joint committee contains equal numbers of senators and representatives? (B) What is the probability that the joint committee contains equal numbers of Democrats and Republicans?
Politics. There are 10 senators (half Democrats, half Republicans) and 16 representatives (half Democrats, half Republicans) who wish to serve on a joint congressional committee on tax reform. An 8-person committee is chosen at random from those who wish to serve. (A) What is the probability that the joint committee contains equal numbers of senators and representatives? (B) What is the probability that the joint committee contains equal numbers of Democrats and Republicans?
Solution Summary: The author calculates the probability of forming a committee of 8 persons, if the committee contains equal number of senators and representatives.
Politics. There are
10
senators (half Democrats, half Republicans) and
16
representatives (half Democrats, half Republicans) who wish to serve on a joint congressional committee on tax reform. An 8-person committee is chosen at random from those who wish to serve.
(A) What is the probability that the joint committee contains equal numbers of senators and representatives?
(B) What is the probability that the joint committee contains equal numbers of Democrats and Republicans?
Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the coefficient of variation for each fund. Round your answers to the nearest tenth.
x:
14
0
37
21
35
23
24
-14
-14
-17
y:
8
-2
29
17
22
17
17
-2
-3
-8
7.
The concentration of a drug in a patient's bloodstream h hours after it was injected is given by
0.17 h
Ah=
h²+2'
Find and interpret lim A(h). Remember, the answers to word problems should always be given in a complete
h→00
sentence, with proper units, in the context of the problem.
What percentage of the general U.S. population have bachelor's degrees? Suppose that the Statistical Abstract of the United States, 120th Edition, gives the following percentage of bachelor’s degrees by state. For convenience, the data are sorted in increasing order.
17
18
18
18
19
20
20
20
21
21
21
21
21
22
22
22
22
22
23
23
24
24
24
24
24
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25
25
26
26
26
26
26
26
27
27
27
28
28
28
29
29
31
31
32
32
34
35
38
Illinois has a bachelor's degree percentage rate of about 18%. Into what quartile does this rate fall?
Chapter 8 Solutions
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Elementary Statistics: Picturing the World (7th Edition)
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