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.
1 2
21. For the matrix A
=
3 4
find AT (the transpose of A).
22. Determine whether the vector
@
1
3
2
is perpendicular to
-6
3
2
23. If v1
=
(2)
3
and v2 =
compute V1 V2 (dot product).
.
7. Find the eigenvalues of the matrix
(69)
8. Determine whether the vector
(£)
23
is in the span of the vectors
-0-0
and
2
2
1. Solve for x:
2. Simplify:
2x+5=15.
(x+3)² − (x − 2)².
-
b
3. If a = 3 and 6 = 4, find (a + b)² − (a² + b²).
4. Solve for x in 3x² - 12 = 0.
-
Chapter 11 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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