5 A random variable A has probability density function given by f(x)=∫(x/(x-1)) 3≤x≤5 .otherwise.where k is a constant.(i) Show that k= m4(ii) Find a such that P(X a) = 0.75.4 相关知识点: 试题来源: 解析 tǐ ))∫_1^5k/(x-1)dx=1 |k|t(t-1)|_3=1 k(In4...
The random variable X has a probability function given by$$\left\{ \begin{matrix} P ( X = x ) = \left\{ \begin{matrix} 2 ^ { - x } x = 1 , 2 , 3 , 4 \\ 2 ^ { - 4 } x = 5 \end{matrix} \right. \end{matrix} \right.$$$ o t ( E ( X ) ) ^ { 2 } ...
ArandomvariableXhasaprobabilitydensityfunctionifthereisafunc- tionf:R→Rsothat P(a b a f(x)dx foranya remindthereaderthatthedistributionofacontinuousrandomvariableis determinedbyitsdensityfunction. Thegoalofthisdiscussionistodiscussthedeterminationofthedistribu- tionoftherandomvariableY=h(X),wherehisa...
Step by step video & image solution for A random variable X has a probability density function f(x) ={{:(,k,0 lt x lt 2pi),(,0,"elesewhere"):} find (i) k , (ii) P ( 0 lt X lt pi//2) (iii) P(pi//2 lt X lt 3pi//2) by Maths experts to help you in doubts ...
之所以会出现random variable是一个function这样的迷惑性用词,是因为"random variable"这个名词的使用远早于概率论的公理化,在公理化中,人们才发现概率与分析之间的联系,才意识到函数是对随机变量更加合理的定义;但是因为公理化太晚,用词已经积重难返,才给后人学习带来这样的困惑。当然随机变量也可以用等价类的方式定...
A random variable X has probability density function f(x) given by fkx(1-x) foro≤x≤1 ,otherwise.Show that the mean and variance of X are 0.5 and 0.05 respectively.Find the probability that an observation chosen at random from this distribution is more than two standard deviations from th...
A random variable X has probability density function f(x) given by$$\left\{ \begin{matrix} f(x)= k x ( 1 - x ) f o r 0 \leq x \leq 1 \\ 0 otherwise. \end{matrix} \right.$$Show that the mean and variance o f X are 0.5 and 0.05 respectively.Find the probability that ...
Answer to: Suppose a random variable Y has probability density function f_Y(y) = left{begin{matrix} e^{-3y} + dfrac{2}{3}e^{-y} quad & y ...
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A random variable, X, has probability density function$$\left\{ \begin{matrix} f(x)= a x ( 2 x - 1 ) ; 0 相关知识点: 试题来源: 解析 $$ \int _ { 0 } ^ { \frac { 1 } { 2 } } \int _ { 0 } ^ { \frac { 1 } { 2 } } a x ( 2 x - 1 ) d x = 1 , ...