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题目内容
A random variable Y is normally distributed with a mean of 200 and a standard deviation of 10.

Quantity A

The probability of the event that the value of Y is greater than 220

Quantity B

$$\frac{1}{6}$$
Set Y is normally distributed with a mean of 50 and a standard deviation of 5.4.

Quantity A

The percentage of number between 42.8 to 44.6

Quantity B

The percentage of number between 53.6 to 55.4


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

A survey of 5,500 book readers found that the number of books read per year was approximately normally distributed with mean 19.0 and standard deviation 2.0. Which of the following is the best description of the numbers of books read per year by the 880 book readers who read the most books?
The result of a survey is normally distributed with a mean of 500 and a standard deviation of 100. If the number of variables ranging 500 to 600 is 10,200 numbers, then how many numbers in the survey are less than 400?
x and y are normally distributed with the same mean 0, and p(x < 1)=p(-1 < y < 1)

Quantity A

The standard deviation of x

Quantity B

The standard deviation of y
In a normal distribution of variable w, the mean is 60, while the standard deviation is 30.

Quantity A

The probability that 45 < w < 60

Quantity B

The probability that w > 95
The random variable Y is normally distributed with a mean of 470, and the value Y = 340 is at the 15th percentile of the distribution. Of the following, which is the best estimate of the standard deviation of the distribution?
The random variable X is normally distributed. The values 650 and 850 are at the 60th and 90th percentiles of the distribution of X, respectively.

Quantity A

The value at the 75th percentile of the distribution of X

Quantity B

750

Quantity A

(40!)(30!)

Quantity B

(60!)(20!)

Quantity A

89!-88!-87!

Quantity B

$$ 88^{2}*87! $$
What is the tens digit of $$\frac{39!}{29!}$$?
$$n$$ and $$k$$ are integers, $$n > k > 1$$

Quantity A

$$(n-k)!$$

Quantity B

$$n!-k!$$
How many positive integers less than 10,000 are such that the product of their digits is 210?
In how many ways can 5 paintings be put into 3 different frames (one painting for each frame)?
In a kindergarten, three shorter kids sit in the first row, while four taller ones sit in the second row. In how many ways can they be arranged?
How many odd 5-digit integers can be formed out of 3, 4, 6, 7, 9 such that each is used for only once?
Al, Ben, Carl, Dina, and Edna are to be seated in a row of 5 adjoining chairs, with 1 person sitting in each chair. If Dina and Edna must each be seated in the first chair in the row or the last chair in the row, in how many different seating arrangements can the 5 people be seated?
Set A consists of all of the positive five-digit even integers that can each be formed by using all of the digits 1, 2, 3, 4, and 5. What is the number of integers in set A?
How many three-digit integers can be formed out of 8 different integers (5 odd ones, 3 even ones) so that the tens and hundreds digit are both odd integers, while the units digit is an even integer (no integers could be used by more than once)?
C and M have to take pictures together with five other people. C has to stand in one of the three positions in the middle, M has to stand besides C, while the other five people can stand as they want. In how many ways can they stand in total?

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