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Recent questions tagged random-variable

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Random Variable
$\mu =E\left ( X \right )$$\sum P\left ( x \right )=1$ where$x$12…...$P(x)$ Standard deviation= $\sigma$ =$\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}\left ( x_{i}-\bar{x...
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Random Variable
$1)$ Let $X\sim exp\left ( \lambda \right )$. Find $E\left ( X \right )$$2)$ Is the value of pdf and $E\left ( X \right )$ is same?
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1 1 vote
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Probability (Expected value and Variance)
Find the expected value and the variance of the number of times one must throw a die until the outcome 1 has occurred 4 times.
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2 2 answers
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Uniform Random variable-Self Doubt
I was reading the uniform random variable from sheldon rossit is given that X is a uniform random variable on the interval $(\alpha,\beta)$ if the probability density fun...
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Probability-Sheldon Ross(Self Doubt)
I was reading probability from Sheldon Ross and found below example.A purchaser of electrical components buys them in lots of size 10. It is his policy to inspect 3 compo...
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Universality of Uniform
According to Universality of Uniform ,We can get from the uniform distribution to the other distributions and also from other distributions back to the uniform distributi...
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Probability and random variable
Consider the sets $A_1, A_2, A_3 \dots A_m$ each a subset of size $k$ of $\{1,2,3, \dots , n\}$. If in a 2-colouring of $\{1,2,3, \dots , n\}$ no set $A_i$ is monoch...
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Maths: Probability Distribution
Suppose X is a uniform random variable between 0.50 and 1.00. What is the probability that a randomly selected value of X is between 0.55 and 0.60 or between 0.75 and 0.8...
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3 3 votes
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ISI-2014-11
Let $X_1,X_2,X_3,X_4$ be i.i.d. random variables each assuming the value $1$ and $-1$ with probability $\dfrac{1}{2}$ each. Then, the probability that the matrix $\begin{...
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1 1 vote
1 1 answer
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Sheldon Ross Normal Variable
In the below question my query is for (a) partWhen we are calculating $P\left \{ \frac{-1}{3}< Z< \frac{2}{3} \right \}$I know that the normal variable X is converted to ...
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Random Variables
Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. What are possible values of X?
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A First Course in Probability- Sheldon Ross 8th Edition Random Variables Example 1b
Three balls are to be randomly selected without replacement from an urn containing20 balls numbered 1 through 20. If we bet that at least one of the balls that aredrawn h...
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2 2 answers
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Discreate Random Variable (Rose_8th Edition)
Three balls are to be randomly selected without replacement from an urn containing 20 balls numbered 1 through 20. If we bet that at least one of the balls that are drawn...
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1 1 vote
1 answers 1 answer
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Test by Bikram | Mathematics | Test 2 | Question: 21
Which of the following properties of variance is true?$V(px)=p^2(V(x); $ if $x$ is random variable and $p$ is constant.$V(x-4)=V(x)-V(4);$ if $x$ and $y$ are independent...
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2 2 votes
1 answers 1 answer
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Test by Bikram | Mathematics | Test 2 | Question: 16
The diameter of a pipe is assumed to be a continuous random variable with density function $f(x) = 6x(1+x)/5$, where $x$ is between $0$ and $1$. The mean of the pipe is _...
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91 91 votes
9 answers 9 answers
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GATE CSE 2017 | Set 2 | Question: 31
For any discrete random variable $X$, with probability mass function $P(X=j)=p_j, p_j \geq 0, j \in \{0, \dots , N \}$, and $\Sigma_{j=0}^N \: p_j =1$, define the polynom...
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Test by Bikram | Mock GATE | Test 2 | Question: 50
A random variable has the Probability Density Function (PDF) $f(x) = \begin{cases}3x^2&; 0 < x < 1\\ 0&; otherwise \end{cases}$Then $P\left ( x\leqslant 1/2 \right )=$ _...
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testseries
U and V are two independent zero mean Gaussian random variables of variances 1/4 and 1/ 9. The probability P(3V  2U) is
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5 5 votes
2 2 answers
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CMI2016-A-7
Varsha lives alone and dislikes cooking, so she goes out for dinner every evening. She has two favourite restaurants, $\text{Dosa Paradise}$ and $\text{Kababs Unlimited}$...
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11 11 votes
4 answers 4 answers
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TIFR CSE 2016 | Part A | Question: 4
There are $n$ balls $b_1, \dots ,b_n$ and $n$ boxes. Each ball is placed in box chosen independently and uniformly at random. We say that $(b_i, b_j)$ is a $\textit{colli...
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1 1 vote
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999
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2..You are in a game show! There are 10 closed doors, 0 leads to nothing and 1 leads to an expensive sports car.
You are in a game show! There are 10 closed doors, 0 leads to nothing and 1 leads to an expensive sports car. You are allowed to pick a door and earn the sports car if it...
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3 3 votes
1 1 answer
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probability distribution
A arrives at office at 8-10am regularly; B arrives at 9-11 am every day. Probability that one day B arrives before A? [Assume arrival time of both A and B are uniformly d...
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1 1 vote
1 answers 1 answer
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Virtual Gate
Let X and Y be two independent random variables. Suppose, we know that Var(√5X − √2Y) = 15 and Var(−√2X + Y) = 6.5. Var(X) and Var(Y) are: (A) Var(X) = 2.5, Var(Y) = ...
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Probability Distribution
In the cartesian plane, selection of a point P along the y axis in [0,2] is uniformly random. Similarly selection of a point Q along the x axis in [0,2] also uniformly di...
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2 answers 2 answers
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Probability Random Variabme
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MadeEasy Test Series: Probability - Random Variable
Let X be a random variable as shown in the figure below If it is quantized by a two bit quantizer such that all the levels are equiprobable then the mean square value of ...
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3 3 votes
1 1 answer
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random variables
suppose X and Y are random variables such thatE(X)=1 (Y)=2 V(X)=1 V(Y)=2 Cov(X,Y)=1by using above values following expression are evaluatedE(X+2Y)=pEXY)=qVat(X-2Y+1)=rfin...
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3 3 votes
1 1 answer
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uniform distribution
x1 x2 x3 are three independent random variables distributed uniformly on [0,1].Find probability that P(X1 is largest )
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4 4 votes
3 answers 3 answers
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random variables
Let x1 x2 x3 be three independent and identically distribuyed random variables with uniform distrbution on (0,1) find probability p(x1+x2<=x3)
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4 4 votes
1 answers 1 answer
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probability random variables
Let X∈{0,1} and Y∈{0,1} be two random variables if P(X=0) =p and P(Y=0)=q then P(X+Y>=1) is equal to1)pq+(1-p)(1-q)2)pq3)p(1-q)4)1-pq
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