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The figure shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown.

The random variable Y is normally distributed with mean 576. If the value 628 is at the $$84^{th}$$ percentile of the distribution of Y, which of the following is the best estimate of the value at the $$98^{th}$$ percentile of the distribution of Y?
A normal distribution with mean 50, $$16^{th}$$ percentile: 42,$$33^{th}$$ percentile: q.

Quantity A

q-42

Quantity B

50-q
Let W be a continuous random variable such that P (W > $$\frac{1}{2}$$)=$$\frac{9}{10}$$ and P (W > $$\frac{3}{4}$$)=$$\frac{7}{20}$$. What is the value of P ($$\frac{1}{2}$$ < W ≤ $$\frac{3}{4}$$)?

Give your answer as a fraction.
The probability distribution function $$f$$ of a continuous random variable $$x$$ is defined by $$f(x) = \frac{2}{13}|x|$$ for $$−3 \leq x \leq 2$$

Quantity A

The median of the distribution of $$x$$

Quantity B

-$$\frac{9}{5}$$
Sets R, S and T are finite and T contains more elements than S. The number of elements in T minus the number of elements in S is equal to the number of elements in the set R∩T minus the number of elements in the set R∩S.

Quantity A

The number of elements in the set R∪S

Quantity B

The number of elements in the set R∪T
Let S and T be two sets such that the ratio of the number of elements in S to the number of elements in T to the number of elements in the set S∩T is 4 to 3 to 1. If the sum of the number of elements in S but not in T and the number of elements in T but not in S is 2520, what is the number of elements in S∩T?
In a group of 100 adults, each owns a DVD player, a CD player, or both. If 60 adults own a DVD player and 70 adults own a CD player, how many adults own both?
In a group of people, 15% have license, 10% have parking tickets, while 78% have neither license nor parking tickets. What percent of people have both license and parking tickets?
Among 25 parents, 14 have at least 1 boy, 15 have at least 1 girl

Quantity A

The number of parents who have at least 1 boy but no girl

Quantity B

10
In a survey, employees who want to switch jobs were asked what issues were most important in choosing another job. Half of those surveyed said "salary" and 35% said "location". If 32 percent of those surveyed said both "salary" and "location", what percent said either "salary" or "location" but not both?
The recreation director at a local youth club surveyed the members to determine interest in two activities-a hiking trip and a softball game. Of the members surveyed, 60 percent were interested in the hiking trip and 75 percent were interested in the softball game. Of those who were interested in the softball game, $$\frac{2}{3}$$ were also interested in the hiking trip. What percent of the members surveyed were not interested in either of the two activities?
In a herd of 90 cows, some are brown, some are white, and the rest are both brown and white. In the herd, 55 cows are entirely or partially white, and 75 cows are entirely or partially brown. If the cows are randomly selected for inoculation, what is the probability that the first cow selected will be entirely white?
There are 50 students in the class. 27 of them join the project A, and 25 of them join project B. If everyone must join at least one project, then what`s the number of students who join both projects?


The table shows the results of a survey of 1,200 investors who were asked to name their sources regarding investment advice. 300 of those surveyed named both stockbrokers and financial planners as sources, how many of those surveyed name neither of these two sources?
In a fitness club of 800 members, 175 attend the club on Fridays, 450 attend the club on Saturdays, while 90 attend the club on both Fridays and Saturdays. Which of the following statements must be true?

Indicate all such statements.
A rectangular game board is composed of identical squares arranged in a rectangular array of r rows and r+1 columns. The r rows are numbered from 1 through r, and the r+1 columns are numbered from 1 through r+1. If r>10, which of the following represents the number of squares on the board that are neither in the 4th row nor in the 7th column?
Thirty percent of the members of Group G are also members of Group H. Twenty percent of the members of Group H are also members of Group G.

Quantity A

The total number of members of Group G

Quantity B

The total number of members of Group H
At a convention, 30 percent of the attendees are vegetarians, and of those vegetarians, 55 percent are male.

Quantity A

The percent of the attendees who are not male and not vegetarians

Quantity B

25%
In a water tank of 72 fishes, $$\frac{1}{3}$$ are blackfin, $$\frac{2}{3}$$ are whitefin. $$\frac{1}{2}$$ have orange dots, while the rest $$\frac{1}{2}$$ have brown dots. If $$\frac{2}{3}$$ of whitefin have brown dots, then how many fishes in the water tank are orange-dotted blackfins?
In a survey of educators. 40 percent reported that they used the Internet for research. Also in the survey, 65 percent reported that they used the Internet for E-mail.

Quantity A

The percent of the educators surveyed who reported that they used the Internet for both research and E-mail

Quantity B

26%

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