Which Symbol to Calculate First February 8

What is the value of $6\div2(1+2)$?Sorry for asking such a elementary question, but the calculators I own provide different results. According to the first($fx-50FH$ by CASIO), the answer is $9$, calculating it as so: $6 \div 2 \times (1+2)$. However

PMF of discrete conditional random variable February 8

Let $X$ be a discrete random variable (r.v) whose range is the set of non-negative integers. Let the probability mass function (PMF) of $X$ be: $PX(i)=P[X=i]=kp^i, s.t. i = 0, 1, 2, ...$ where $p \in (0,1)$ is a given parameter.A) Find the constant k

How to show that the following equation holds February 8    1

In Wikipedia appears the pdf's equation for $XY$ and $X/Y$, where $X$ and $Y$ are given independent random variables. The equations areFor product $Z=XY$$$f_Z(z)=\displaystyle\int_{-\infty}^{\infty}f_X(x)f_Y\left(\frac{z}{x}\right)\frac{1}{|x|}dx$$an

The repetition pattern of a random integer sequence February 8    1

Here is a problem that bothers me, could some one grand me some help?There is a sequence of N random integers, {$X_1,X_2,...,X_N$}. Each $X_i$ is uniformly chosen from a integer set {1,...,M}.For each specific values of the sequence, {$x_1,x_2,...,x_

generating random number in the range +/-(n to n+x) February 8    2

I want to generate a random number that falls in the range 50 to 100 and -50 to -100 I am now using the following formula to achieve this:(50 + (rand() % 50)) * ((rand() % 2) * 2 - 1) where(50 + (rand() % 50)) gives me a random number in the range 50

How to use composition to generate random variates February 8

How to use composition to generate random variates
I want to know how to use composition to generate random variates whose cdf and pdf are as follows.

How to generate a random variable by composition February 8

If I want to generate a random variable with such a pdf: $f(x) = \dfrac 3 {2}x^2 : [-1, 1] \to \Bbb R$ by composition, what should I do?I think I can divide the pdf by $x=0$ into two parts. But the $f(x)$ of the new two parts are the same and the CDF

How to find the max of two different random variables February 8

How to find the max of two different random variables
If I have 1 uniformly distributed RV and the other one constant with fixed value if the first one is and I have a constant length say r1. I want to write the PDF that represents the max betw ...

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