Politics. Candidate Harkins claims that she will receive 52 % of the vote for governor. Her opponent, Mankey, finds that 470 out of a random sample of 1 , 000 registered voters favor Harkins. If Harkins's claim is correct, what is the probability that only 470 or fewer will favor her in a random sample of 1 , 000 ? Conclusion? Approximate a binomial distributionwith a normal distribution .
Politics. Candidate Harkins claims that she will receive 52 % of the vote for governor. Her opponent, Mankey, finds that 470 out of a random sample of 1 , 000 registered voters favor Harkins. If Harkins's claim is correct, what is the probability that only 470 or fewer will favor her in a random sample of 1 , 000 ? Conclusion? Approximate a binomial distributionwith a normal distribution .
Solution Summary: The author calculates the probability that 470 or fewer in a sample of 1000 will favor her when 52% of all the voters favors her.
Politics. Candidate Harkins claims that she will receive
52
%
of the vote for governor. Her opponent, Mankey, finds that
470
out of a random sample of
1
,
000
registered voters favor Harkins. If Harkins's claim is correct, what is the probability that only
470
or fewer will favor her in a random sample of
1
,
000
? Conclusion? Approximate a binomial distributionwith a normal distribution.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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Assume that a company is considering purchasing a machine for $50,000 that will have a five-year useful life and a $5,000 salvage value. The
machine will lower operating costs by $17,000 per year. The company's required rate of return is 15%. The net present value of this investment
is closest to:
Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using the tables provided.
00:33:45
Multiple Choice
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$6,984.
$11,859.
$22,919.
○ $9,469,
Mc
Graw
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2
100-
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7. [10 marks]
Let G
=
(V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a
cycle in G on which x, y, and z all lie.
(a) First prove that there are two internally disjoint xy-paths Po and P₁.
(b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which
x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that
there are three paths Qo, Q1, and Q2 such that:
⚫each Qi starts at z;
• each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are
distinct;
the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex
2) and are disjoint from the paths Po and P₁ (except at the end vertices wo,
W1, and w₂).
(c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and
z all lie. (To do this, notice that two of the w; must be on the same Pj.)
Chapter 10 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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