# Questions tagged [conditional-expectation]

A conditional expectation is the expectation of a random variable, given information on another variable or variables (mostly, by specifying their value).

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### Expected Mean using Total Law of Expectation

Given a coin having probability of p of coming up heads is successively tossed until two of the most recent n tosses are heads where n >= 2. Let N be the number of tosses. Determine E[N] So I have ...
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### Expectation of A given A,B Random variables

So I am self-teaching myself some stuff about random variables and expectations for a course that I am going to take in the upcoming semester, and I found some resources online for properties that I ...
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### How can I calculate Conditional expectation using copula

Let X, Y two time series and $F_{i, \beta_i}$ the marginal distribution of residual of each time series and beta is vector of their parameter. I studied the dependence between this two series using ...
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### When to use Monte Carlo test type in ctree?

I'm a user of ctree function from partykit package in R. I always wondered for which purpose we want to use Monte Carlo to compute the distribution of test statistics? The literature suggest that it ...
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### can zero covariance and zero expectation imply zero conditional expectation?

$x$ and $\epsilon$ are two random variables. If $Cov(x, \epsilon)=0$ and $E[\epsilon]=0$, can that lead to $E[\epsilon|x]=0?$
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### How to solve for conditional expectations with binary random variables?

Suppose you have a binary random variable X with a probability of 50% 1, and a probability of 50% 0. Another random variable Y has the conditional expectation E[Y|X]=5. Another random variable W=XY-X. ...
Toss a die 10 times. If you get six 1's, find the expected number of 2's. The answer given is $\frac{4}{5}$. I'm trying to understand where the following method of solving the problem goes wrong. \$...