The random variable Vhas PM lev²

Q: Suppose you have 5 batteries, B1, B2, B3, B4, and B5, with two of them depleted. You decided to test…

A: To address the problem, the objective is to understand the distribution of X, the random variable…

Q: Assume that X and Y are two random independent random variables with mean 2 and 3 and variance 2 and…

A:

Q: f x is a binomial random variable, find p (x) for n = 6, x = 3, p = 0.5.

A: Solution: Let X has binomial random variable with parameter n= 6 and p= 0.3 X~B(n=6,p=0.5) The…

Q: Each one of these random variables has a named distribution from the previous page. Give the name of…

A: a)  You find a 1-gram zircon crystal which contains about 1015 atoms of Uranium-238. The average…

Q: Let X and Y be two independent random variables. If the variance of X is 12 and the variance of Y is…

A: let x and y be two independent random variables if the variance of x is 12 and the variance of y is…

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: Random samples of n1 = 55 and n2 = 65 were drawn from two populations. The samples yielded…

A:

Q: If a random variable X has mean 3 and variance 4, then E(X² + 3X + 2) is

A: GivenMean=E(X)=3Variance=V(X)=4

Q: 2Y 0 Show that has a x² distribution with 2 degrees of freedom.

A: Mean =θ ,

Q: If X and Y are independent random variables with variances σ2 X = 5 and σ2 Y = 3, find the variance…

A: Given:VX=5 and VY=3

Q: Let Z be a standard nomal random variable and calculate P(-1.23 sZs0). Excel Worksheet-1xlsx O.39065…

A: Given : Let Z be a standard normal variable i.e Z~N(μ=1 , σ2=1)

Q: Suppose that the number of accidents occurring on a highway each day is a Poisson  random variable…

A: Givenλ=3.1 for each dayLet "x" be the no.of accidents occur in a dayx~Poisson(λ=3.1)P(X=x)=e-λ×λxx!…

Q: Suppose that the random variable X has mean u and variance o >0. What are the values of a and b>0…

A: Given data: The given expression is Y=a+bX. The given mean is μ=0. The given variance is…

Q: If X is a geometric random variable with p = 0.3 and Y = 5 + X, then what is the range of Y?

A: Given: X is a geometric random variable with p=0.3 and Y=5+X.To find: The range of Y.

Q: Find the CDF of an exponential random variable with mean 1/λ .

A: Solution

Q: 1. An n sided die is rolled. Each face has a unique label from 1 to n. Let, X be the random variable…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Consider a random variable that is normally distributed where = 60; = 2, and x= 55. Find the…

A: Note: For solving the problem, we used µ=60 and σ=2.

Q: Suppose x is a normally distributed random variable with u= 28 and o = 5. a. P(x 2xg) = 5 b. P(x…

A: Suppose X is normally Distributed Random Variable with mean  μ=28 and Standard Deviation σ=5Given…

Q: The random variable is the number of times a 5 occurs when rolling a die 4 times. The value(s) of…

A: Given that a die is rolled 4 times. The Total number of outcomes is 64=1296. The outcomes for…

Q: A random variable has CDF given by S. A i = 0, 1, 2 1 i = 3 if A = 0.2, then what is po? F₁ =…

A: A random variable has cumulative distribution function (CDF) given by:If the objective is to find :

Q: The discrete random variable X has the probability distribution given by: 2 4 6 8 P(X= x) 0.15 0.15…

A:

Q: If a dicrete random variable x takes only three values 2,5 and 9 and that p(x=2)= 0.2 , p(x=5) =…

A: We have to find p value..

Q: Consider two independent random variables X and Y with Means of 17 for the first variable is 1 and…

A: Let the new variable be Z  = 3X  - 4Y   The mean is given by E(Z) =3E(X) - 4E(Y) E(Z) = 3(17) -…

Q: Let X be a random variable with a mean of 20 and variance of 4. Then E(3X2 -3 X +2) is O a. -46 O b.…

A: Answer is  (b) 1154

Q: A telegraphic communications system transmits the signals dot and dash. Assume that the statistical…

A:

Q: There are two independent random variables X and Y. X has mean 4 and standard deviation , and Y also…

A: Given  E(X)=mean of X=4 and E(Y)=mean of Y=4  X and Y are independent

Q: One sample has M = 18 and a second sample has M = 14. If the pooled variance for the two samples is…

A: Given that, One sample has M = 18 and a second sample has M = 14. Pooled variance = 16

Q: During a month in Adana, it rains with probability 2/3 each day, independently of every other day.…

A: Let p be the probability that it rains any day in a month. Given that p = 2/3 Let X represents the…

Q: Suppose a discrete random variable X takes only three values 0, 2 and 3. If P(0)30.5, P(2)=0.2 and…

A: The discrete random variable X takes only three values 0, 2, and 3. The probabilities are P0=0.5,…

Q: Let Y be an exponential random variable with (unknown) mean 0.

A: Mean of Y is θ

Q: Let xbe a binomial random variable with a variance of 0.48, q = 0.6 and n=2. Find E(2x-3) اختر احدى…

A: x~binomial(n,p,q)where n=2  ,  q=0.6  variance=0.48           npq=0.48(2)(p)(0.6)=0.48 ⇒ p=0.4and…

Q: Assume the flying height of an airplane is a Gaussian Random variable X with ax = 5000 m and ay-2000…

A: We have given that,  Let X be the Gaussian Random variable from normal distribution with mean (μx) =…

Q: Let X, and X, be independent random variables with mean u and variance o?. Suppose that we have two…

A:

Q: Suppose that X is a N(3,4) random variable and suppose that Y=5X+2. Determine P(Y>18.5).

A: Linear combination of Normal random variables is also follows Normal.