6.下列对本文理解和分析,不正确的一项是(3分)
A.文中的“仁人”主要是指那些对他人怀有仁爱之心、实施仁政的人。
B.文章借士君子的质疑展开论说,阐述了“兼爱”的可行性,说理严密具有说服力。
C.“兼爱”的好处远大于迎合君主所得到的好处。士君子没有认识到这一点,这是识小利而不识大利。
D.文章举事例进行论证,夹叙夹议,说理深入浅出。
5.下面句子中加点词的意义和用法,不相同的一组是(3分)
A.仁人之所以为事者 强秦之所以不敢加兵于赵者
B.以相爱生也 洎牧以谗诛
C.昔者晋文公好士之恶衣 王无异于百姓之以王为爱也
D.忠实欲天下之富而恶其贫 夫赵强而燕弱,而君幸于赵王
8. The random variable X has the following probability distribution:
![]()
a.If the mean of X is -0.5, then find the a and b.
b. If the mean of X is 2.2, then find the a and b.
7.The random variable X, has the following probability distribution,
where 0 < p < 0.5
![]()
a.Find the mean of X .
b.Find the standard deviation of X
c. If the median of X is 0, then find the value of p.
6. For a random variable X, E(X) = 2 and sd(X) = 3.Find E(X2) .
5. For a random variable X, E(X) = 5 and E(X2) = 34. Find the standard deviation of X .
4. Suppose that a random variable X is such that E(X) = 3.2 and Var(X) = 1.8. Suppose further that Y is a random variable such that Y = 2X + 3.Find E(Y) and Var(Y) .
3. Suppose that the random variable X has the probability distribution given in the following table:
![]()
a.Find
.
b. For this probability distribution,find the mode of X.
c. For this probability distribution ,find the median of X.
d. For this probability distribution,find the expected value E(X) .
e. For this probability distribution find the variance Var(X).
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