求教一道统计学数学题a fair coin is tossed twice.let X represent the number of heads obtained on the first toss and Y represent the total number of heads obtain in two tosses.a:derive the birvariate probability distribution for the variables
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求教一道统计学数学题
a fair coin is tossed twice.let X represent the number of heads obtained on the first toss and Y represent the total number of heads obtain in two tosses.
a:derive the birvariate probability distribution for the variables X and Y.
b:compute cov(X,Y)
题目:一个公平的硬币被投掷了两次,用X表示第一次得到的面,Y表示第二次得到的面,
问:a:给出X,Y的概率分布
b:计算X,Y的协方差
a:因为硬币是公平的,所以每面的概率都是0.5
所以X的分布函数:F(X)=0.5,X=正面,F(X)=0.5,X等于反面.
同理Y的分布函数:F(Y)=0.5,Y=正面,F(Y)=0.5,Y等于反面.
b:因为硬币是公平的,所以投掷两次硬币是独立的,所以cov(X,Y)=0
。
求教一道统计学数学题a fair coin is tossed twice.let X represent the number of heads obtained on the first toss and Y represent the total number of heads obtain in two tosses.a:derive the birvariate probability distribution for the variables
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