2020年12月8日 · 先验概率(prior probability)：这个概率是通过统计得到的，或者依据自身依据经验给出的一个概率值，这里P(Y)就是先验概率； 后验概率：根据观察到的样本修正之后的概率 …

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To solve this problem I thought you would first find the conditional density of Y. Then plug in x and the solve the integral with y's condition. However, I do not come up with the same answer.

用公式表示就是p (x|y)=p (今天出门|今天下雨)， 注意：只要见到p (x|y)一定要自动把它翻译成：“在y发生的情况下，x发生的概率”。 这公式怎么得来的呢？ p (x∣y)表示y已经发生的条件 …

Let X and Y have the joint probability density function $f(x,y) = \frac{3}{2}(x^2 +y^2)$, $0<x<1,0<y<1$ a.) Find $P(Y&lt;.5|X&gt;.5)$. My answer is $\frac{5}{11}$.

2016年10月8日 · The joint probability density function of $X$ and $Y$ is given by $$f(x,y) = 2(1 - x), \quad \text{ for }\,\, 0 < x < 1, 0 < y < 1$$ Find $P(X < 0.5 \mid Y = 0.5)$. Attempt: $$P...

Notice that these sums and integrals are over x(not y), since E[g(X) jY = y] is a function of y. These formulas are exactly the same as E[g(X)], except the PMF/PDF of Xis replaced with the …

Use the calculator below to find the area P shown in the normal distribution, as well as the confidence intervals for a range of confidence levels. Probability is the measure of the …

First, to find the conditional distribution of X X given a value of Y Y, we can think of fixing a row in Table 1 and dividing the values of the joint pmf in that row by the marginal pmf of Y Y for the …