[for the last equation, is it shows that the sum of P(x given y) times p(y)? And i do not sure how this equation form by o.1 and o.2, please give me a help. Best wishes 1,
2026-03-26 05:54:22.1774504462
How to get the last function in the picture by o.1 and o.2 equations? (Conditional distribution)
18 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in PROBABILITY-DISTRIBUTIONS
- Given is $2$ dimensional random variable $(X,Y)$ with table. Determine the correlation between $X$ and $Y$
- Statistics based on empirical distribution
- Given $U,V \sim R(0,1)$. Determine covariance between $X = UV$ and $V$
- Comparing Exponentials of different rates
- Linear transform of jointly distributed exponential random variables, how to identify domain?
- Closed form of integration
- Given $X$ Poisson, and $f_{Y}(y\mid X = x)$, find $\mathbb{E}[X\mid Y]$
- weak limit similiar to central limit theorem
- Probability question: two doors, select the correct door to win money, find expected earning
- Calculating $\text{Pr}(X_1<X_2)$
Related Questions in CONDITIONAL-PROBABILITY
- Given $X$ Poisson, and $f_{Y}(y\mid X = x)$, find $\mathbb{E}[X\mid Y]$
- Finding the conditional probability given the joint probability density function
- Easy conditional probability problem
- Conditional probability where the conditioning variable is continuous
- probability that the machine has its 3rd malfunction on the 5th day, given that the machine has not had three malfunctions in the first three days.
- Sum of conditional probabilities equals 1?
- Prove or disprove: If $X | U$ is independent of $Y | V$, then $E[XY|U,V] = E[X|U] \cdot E[Y|V]$.
- Conditional probability and binomial distribution
- Intuition behind conditional probabilty: $P(A|B)=P(B\cap A)/P(B)$
- Transition Probabilities in Discrete Time Markov Chain
Related Questions in CONDITIONAL-CONVERGENCE
- Every non absolutely convergent series can be rearranged to converge to any $\lim \sup / \inf$ (Rudin)
- Conditional convergent improper Riemann integral vs. Lebesgue Integral
- Why does the commutative property of addition not hold for conditionally convergent series?
- Will the average of a conditional sample converge in probability to the conditional expectation?
- Conditional Convergent Power Series and radius of convergence
- How do we rearrange the terms of the harmonic series so they add up to 0
- $\sum_{n=0}^{\infty} \frac{(-1)^n}{1+\sqrt n}$
- Modified alternating harmonic series
- When $\Big[ uv \Big]_{x\,:=\,0}^{x\,:=\,1}$ and $\int_{x\,:=\,0}^{x\,:=\,1} v\,du$ are infinite but $\int_{x\,:=\,0}^{x\,:=\,1}u\,dv$ is finite
- Is there an intuitive way of thinking why a rearranged conditionally convergent series yields different results?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
By equation $0.1$, we have
$$P(X=x)=\sum_{y}P(X=x,Y=y)$$
By equation $0.2$, we have
$$P(X=x|Y=y)=\frac{P(X=x,Y=y)}{P(Y=y)}$$
and can rearrange to get
$$P(X=x|Y=y)P(Y=y)=P(X=x,Y=y)$$
Substitue the LHS for $P(X=x,Y=y)$ in the first line to get
$$P(X=x)=\sum_{y}P(X=x|Y=y)P(Y=y)$$