In a group of 10 likely voters in the 2018 Midterm Elections, 4 support the Republican party and 6 do not. A panel of individuals will be chosen from this group to monitor the local polling place. The panel will be chosen using simple random sampling. (That is, the panel will be chosen in such a way that each choice is equally likely.) (a) If a total of 3 individuals are chosen, find the probability that the chosen panel contains at least one person who is a Republican and one person who is not. (b) If a total of 5 individuals are chosen, find the probability that the chosen panel contains at least two individuals who are Republican and one who is not.
In a group of 10 likely voters in the 2018 Midterm Elections, 4 support the Republican party and 6 do not. A panel of individuals will be chosen from this group to monitor the local polling place. The panel will be chosen using simple random sampling. (That is, the panel will be chosen in such a way that each choice is equally likely.) (a) If a total of 3 individuals are chosen, find the probability that the chosen panel contains at least one person who is a Republican and one person who is not. (b) If a total of 5 individuals are chosen, find the probability that the chosen panel contains at least two individuals who are Republican and one who is not.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 30CT: In a batch of 20 tires, 2 are known to be defective. If 4 tires are chosen at random, find the...
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4.
In a group of 10 likely voters in the 2018 Midterm Elections, 4 support the Republican party and 6 do not. A
panel of individuals will be chosen from this group to monitor the local polling place. The panel will be chosen
using simple random sampling. (That is, the panel will be chosen in such a way that each choice is equally
likely.)
(a) If a total of 3 individuals are chosen, find the probability that the chosen panel contains at least one
person who is a Republican and one person who is not.
(b) If a total of 5 individuals are chosen, find the probability that the chosen panel contains at least two
individuals who are Republican and one who is not.
In a group of 10 likely voters in the 2018 Midterm Elections, 4 support the Republican party and 6 do not. A
panel of individuals will be chosen from this group to monitor the local polling place. The panel will be chosen
using simple random sampling. (That is, the panel will be chosen in such a way that each choice is equally
likely.)
(a) If a total of 3 individuals are chosen, find the probability that the chosen panel contains at least one
person who is a Republican and one person who is not.
(b) If a total of 5 individuals are chosen, find the probability that the chosen panel contains at least two
individuals who are Republican and one who is not.
6.
A special government loan program awards emergency loans of $10,000 to students. Past records show that 60%
of all students repay the loan completely. Of those who fail to repay all loan money, 40% pay back three-fourths
of the loan, 30% pay back half the loan, 20% pay back one-fourth of the loan, and 10% fail to repay any of the
loan.
Let X be the amount of money the student repays.
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