题目
Problem
In this question solutions relying entirely on calculator technology are not acceptable.
The continuous random variable X has a probability density function given by
(a) Show that k = 3.5 You must make your method clear and show all stages of your working.
(5)
(b) Use algebraic integration to find E(X) You must show all stages of your working.
(4)
Given that E(X^2) = 277/24
(c) find Var(X)
(2)
题目中文翻译
本题中完全依赖计算器技术的解答不被接受。
连续随机变量 X 的概率密度函数如下：
(a) 证明 k = 3.5。 你必须清楚写出方法并展示全部步骤。
(b) 使用代数积分求 E(X)。 你必须展示全部步骤。
已知 E(X^2) = 277/24。
(c) 求 Var(X)。