Find the variance of the random variable x ?
Q: Give two ways to compute the variance of a continuous random variable.
A: 1.Using expectation formula i.e. here E(X) of a continuous variable X can be calculated as…
Q: A racing car consumes a mean of 103103 gallons of gas per race with a variance of 3636. If 3838…
A:
Q: 2. In the random effects model, the null hypothesis is about the variance of the effects of the…
A:
Q: In an amusement fair, a competitor is entitled for a prize if he throws a ring on a peg from a…
A: Obtain the probability of his winning the prize when he has already missed 4 chances. The…
Q: Find the variance and standard deviation of the probability distribution of random variable X if :…
A: Variance=EX2-E2(X)=12110+22110+32110+42110+52110+62110+72110+82110+92110+102110-1110+2110+3110+4110+…
Q: Two dice are rolled. [A die has six sides, each representing the score from 1 to 6] What is the…
A: We have given that the two dice are rolled. The total possible outcome of rolling two dice are 36.
Q: Find the mean and variance of the numbers generated by rolling two die and counting the sum of the…
A: We have given that the two dice are rolled. Total number of possible outcomes = 36 The sample space…
Q: Suppose you play a game that you can only either win or lose. The probability that you win any game…
A: Given,n=20p=0.65A random variable X~Binomial(n=20 , p=0.65)P(X=x)=20x0.65x0.3520-x ;…
Q: A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and…
A: It is an important part of statistics . It is widely used .
Q: then the value of variance of X is
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Determine the Binomial distribution for which the mean is 4 and variance 3 and find its mode.
A:
Q: If the variance of the discrete random variable X = 36
A: Variance is 36
Q: Calculate the mean (mu) and variance (sigma squared) of the probability distribution
A:
Q: Let X ∼ Binomial(n, p) with n known. Find the maximum likelihood estimator of p. What is the (exact)…
A:
Q: If Random Variable H is getting a head in tossing 4 coins, what is the mean and the variance?
A:
Q: What is the variance of X
A: here given continuous probability density function c(1- x2) -1 ≤x ≤ 10…
Q: Among 110 Grade 9 students at a public high school, only 25 are athletes. if 10 of the students are…
A: The sample of the number of students is n=10. The probability of 25 students are athlete,…
Q: A hospital decides to bring in a new surgical resident with a known high success rate for total knee…
A:
Q: Find the variance of the binomial distribution for which n = 300 and p = 0.93
A:
Q: Toss a fair coin 200 times, and count the number of heads that appear. Find the variance of this…
A: Given, A fair coin is tossed 200 times i.e. n=200 The probability of getting head is p=0.5 Let X be…
Q: A racing car consumes a mean of 103103 gallons of gas per race with a variance of 3636. If 3838…
A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…
Q: The variance of the difference between two independent random variables is the difference in the…
A: Given the statement " The variance of the difference between two independent random variables is the…
Q: What is the quare root of variance?
A: Given : Variance (σ2) is given
Q: f the 20th and 60th percentiles of a normal random variables are -4.3 and 15.8, respectively. What…
A:
Q: 3. Derive the variance of the F distribution.
A:
Q: The r2represents the shared variance between a predictor and _______
A:
Q: Each value in a sample has been transformed by multiplying by 3 and then adding 10. If the original…
A: Given information: The variance of the original sample is 4. Each value in a sample has been…
Q: If the assumption of constant variance is violated, you can transform the response data True or…
A:
Q: Two students sit for a university final exam whose scores are known to be normally distributed. The…
A: If raw scores are given by X= 63, Y= 93 Then z score for x is given by, Z= (X- mu)/sigma Where mu is…
Q: In a poisson distributed character, the mean number of events is 6. Find the variance.
A:
Q: The amount of money a male spends in a certain clothing store is normally distributed with a mean of…
A: Let X be expenditure by male. Let Y be the expenditure by the female. So, X~N10, 10Y~N22, 16 to…
Q: State the formula for Variance.
A: Equation that defines the population variance σ2=∑(X-μ)2N Here, σ2 is variance, (X-μ) is distances…
Q: How to Reconstruct the Variance step by step?
A:
Q: Suppose bob flips a fair coin 100 times.Let X be the number of heads he gets.What is Variance of X?
A: For a fair coin the probability of getting head= 0.5X=number of headsn=sample size=100p=probability…
Q: Determine the mean and variance of number of dots in throwing a fair die that has 5 faces starting…
A:
Q: What is the Discrete Variance when sample size is 82 with a probability of 0.82?
A: Formula for variance : Variance = np(1-p)
Q: The second moment of a Poisson-distributed random variable is 2. The mean of the random variable is
A:
Q: Calculate the expected value, the variance, and standard deviation where X is the number of tails…
A: X=the number of tails n=sample size=3p=probability of success=12=0.5So, X follows a binomial…
Q: find the variance of the binomial distribution for which n = 800 and p = 0.88
A: The variance of the binomial distribution is defined as: Var(X)=np(1-p)
Q: Installation of some software package requires downloading 82 files. On the average, it takes 15 sec…
A: We have given that. X~N( μ=15 , ?^2=16) μ=15 , ?=4 Z-score =( x - μ )/?
Q: Let X be a binomial random variable that is binomially distributed with a mean 9 and a variance of…
A:
Q: What concept does the mean of a discrete random variable generalize?
A:
Q: This is a Statistics problem. Are the random variables Z1+Z2 and Z1-Z2 the same? Do they have the…
A:
Q: Consider a random variable X that is equal to the sum of the outcomes of a 4-sided dice throw and a…
A:
Q: How do I get the variance ?
A: The probability distribution is: x p(x) 1 0.05 2 0.1 3 0.12 4 0.3 5 0.3 6 0.11 7…
Q: WHAT IS VARIANCE
A: Solution Data given as 83, 85, 85, 85, 85, 85, 85, 85, 85, 85, 86, 86, 86, 86, 86, 86, 86, 87, 87,…
Q: Show that the variance of a weighted sum of uncorrelated random variables equals the weighted sum of…
A:
Q: 2- The variance can never be: a) Zero b) Smaller than the standard deviation
A:
Q: how do I find the variance?
A: Population variance is the measure of variability of the data that is how far away our data points…
Find the variance of the random variable x ?
Step by step
Solved in 2 steps with 2 images
- For a random variable (X) having pdf given by: f(x) = (k)x^3 where 0 ≤ x ≤ 1, compute the following: a) k b) E(X). c) Var(X). d) P(X > 0.25).For an exponential random variable (X) having θ = 4 and pdf given by: f(x) = (1/θ)e^(−x/θ ) where x ≥ 0, compute the following: a) E(X). b) Var(X). c) P(X > 3).Let the time waiting in line, in minutes, be described by the random variable x which has the following pdf, determine Mx(t)
- Find the pdf of e^x in terms of the pdf of X, base the answer to the case where X is uniformly distributed between 0 and 1Consider random variables X and Y with the joint PDF below find E[X|Y = 0] and E[Y|X = -1]Consider X and Y are joint distributed with PDFf(x,y)=x+y, 0≤x≤1, 0≤y≤1. (a) Find the probability that X > 0.5. (b)FindP(X> Y 1/2).(c) Are X and Y independent?
- Given the moment generating function MX(t) = e 3t+8t2 , find the moment generating function of the random variable Z = 4(X − 3), and use it to determine the mean and the variance of Z.Consider random variables Xand Y with following joint pdf given as f(x,y) ={x+y 0≤x≤1, 0≤y≤1, 0 elsewhere. Compute correlation coefficient, ρXYThe joint PDF of the random variables X and Y is constant on the shaded region, as shown in the image below, and is zero outside. It can be determined that fX,Y(x,y)=2/3. Determine E[XY]. (The answer is not 3/4)
- Consider random variables X and Y with the joint PDF below find pxyLet A and B be independent exponential random variables, both with mean 1. If U = A + B and V = A/B, find the joint pdf of U and V.let X and Y are two random variables with p.d.f as f(x,y)=3x2y+3yx2 0<x<1 0<x<1.find conditional density of X given Y?.Find mean mode and standard deviation of r.v Y?. Correlation between X and Y?. check that X and Y are independent or not?.