Assume that you have a random variable X which is binomially distributed, and the value of the mean is (6) and variance is (4.2). Find P(X=5).

Q: Let X be a random variable with mean E[X] = 20 and variance Var(X)= 3. Define Y = 3 - 6X. Calculate…

A: We have given that, Let X be a random variable with mean E[X] = 20 and variance Var[X] = 3   We know…

Q: X is normally distributed with a mean of 5 and a variance of 25, find ) P(75XS1). ) P(0 sXS S). P(-3…

A: Given Mean =5 Variance =25

Q: Probabilities of values of X-[10 21 24 27 30], a random discrete variable, are [0.16 0.09 0.13…

A:

Q: There is a p(x1) = 0.4 probability to observe x1 = 10 and p(x2) = 0.6 probability to observe  x2 =…

A: We have given that  X 10 5 P(X) 0.4 0.6

Q: If X is distributed as N(0,2), and Y = 3 + 2X. (a) What is the mean of Y? (b) What is the variance…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: Consider the probability distribution. ________________________________________          x:      0…

A: The following probability distribution is given:   x:              0         1         2         3…

Q: If   n =41  and    p=0.6  then the variance of the binomial distribution is

A: X~B(n,p)P(X=x)=nxpx(1-p)n-x                     x=0,1,2,3,...,nE(x)=mean=npvariance=np(1-p)

Q: When you are conducting the t test, the population does NOT need to be approximately normally…

A: one of the assumption for conducting t-test is that when you are conducting t-test the population…

Q: If the variance of a poisson variate is 3. Find the probability that X = 0 i) i) ii) 0<x<3 18x<4

A:

Q: No. of accidents, x 2 3 4 Probability P(x) 0.35 0.25 0.20 0.1 0.1

A: Ans;   Given table         No. of accidents, x 0 1 2 3 4 Probability P(x) 0.35 0.25 0.20 0.10…

Q: Suppose X~B(n=3 ; P=2/3). Use the binomial distribution formula to compute the following: The…

A: Given information X ~ B(N=3,p = 2/3) In Binomial Distribution Variance is given by So, Option b is…

Q: For a binomial distribution, mean = 4 and variance 4/3. Then the value of p is

A: For a binomial distribution ,                                            Mean       = n×p…

Q: 2n- 50 and p= 0.45

A: Given, Let, n =number of trials p =the probability of success q=1-p

Q: The standard deviation of a binomial distribution is 4, then the variance of the distribution is а.…

A: We know that, Variance=(standard deviation)2 Here standard deviations =4

Q: Find the variance of the binomial distribution for which n= 900 and p 0.89. I

A: Given that the parameters of binomial distribution are n = 900, p = 0.89

Q: Let X and Y be identically distributed with mean 4 and variance 25.(a) If X and Y are uncorrelated,…

A: a) If X and Y are uncorrelated then Cov(X,Y)=0, given V(X)=V(Y)=25 Answer(a): 50

Q: (d) Compute the standard deviation of the random variable X. %3D hits

A: Let X denotes the number of hits.

Q: Q2. The Normally distributed random variable X has an unknown mean and an unknown variance, o? i.e.…

A:

Q: Let X be a random variable with a mean of 50 and a variance of 64. Find: i. P(x< 52) ii. P(35 < X <…

A:

Q: Which of the following better approximates the variance of the sample means? b. 4. VN-n N-1 a. 4 vn

A: Varince is the measure of dispersion. It used to understand the variance of each observation from…

Q: Q6- Assume the probability that a maple tree at age 5 grows less than 150 cm is equal to 0.3. If the…

A: As you had asked to do 6th question only so i had solved it only

Q: Suppose that you are testing the following Hypothesis where the variance is known:   H0: µ ≤ 100…

A: H1: µ &gt; 100  (Right Tailed Test)

Q: Find the MGF of the binomial distribution ()ra- Use it to show that the mean is p and the variance…

A:

Q: Find the MGF of the binomial distribution and hence find its mean and variance. Binomial…

A:

Q: (b) The signals {x[0]. . „x[N – 1]} are observed, that are independent and normally distributed with…

A: GIVEN : Let X(0) , X(1) , X(2),....X(N-1) are independent and normally distributed with mean zero…

Q: Given that the variances of random variables X and Y are 1600 and 900, respectively. The correlation…

A: Variance of a Random Variable: The variance of a random variable X, denoted by Var(X), is defined as…

Q: Let X be the random variable with the following distribution: x: -2 3 5 P(X=x): 0.3 0.2 0.5 Find…

A:

Q: For which value of p is the variance of X the highest when X is binomial? .5 1 None of the other…

A: Let X follow a Binomial distribution with parameter p and n i.e. X~B(n, p). Variance of X = n*p*q…

Q: (d) X is a normal random variable with a mean of u = 7. If P(X < 4) = 0.40, approximately what is…

A: We have to find variance of data.

Q: Find the variance of the random variable Z = 1−Y

A: Given that, Y denotes the proportion  of impurities in a batch and density function of Y : f(y) =…

Q: The mean and variance of a binomial distribution are 3 and 2 respectively. Find P(X < 3). 9.

A: Given data: np=3 np(1-p)=2

Q: Which of the following better approximates the variance of the sample means? a. 4 b. 2. VN-n Vn N-1

A: here given, σ = population standard deviation  N= population size  n= sample size

Q: Find the variance for each of the values of n = 500 and p = 0.75 when the conditions for the…

A: If X follows binomial distribution with parameters p= 0.75 and n= 500  i.e. X ~ Bin(n,p)  Then…

Q: Given a random variable X with mean ux and variance ož, find the mean and variance of the random…

A: Given, Mean Of Random Variable X : EX=μX Variance Of Random Variable X : VarX=σX2 New Random…

Q: Given a binomial variable with a mean of 20 and a variance of 16, find n and p.

A:

Q: Let X is a Gaussian random variable with zero mean an variance o · Y = X. Find mean of Random…

A:

Q: If X is a normal random variable with a mean of 5000 and a variance of 100, then the standard random…

A: Given data: X follows normal distribution   Mean=5000 Variance=100   X~ Normal (5000, 100)

Q: 4. For a Binomial distribution of 10 trails, P(X-3) = 3P(x-4). Find the standard deviation of the…

A:

Q: The variance of a random variable (X+ a) is equal to the variance of the random variable X itself

A:

Q: Let X be a random variable with the following probability |-6 3 9 distribution: 1 f(x) 4 1 1 2 4…

A: Given X is random variable with the probability distribution: x -6 3 9 f(x) 14 12 14 and…

Q: Find the expected value and variance of F

A: Given :  (i) The expected value and variance of  (ii)

Q: Let μ and σ2 denote the mean and variance of a random variable X. Determine: (a) E[(X −μ)/σ] (b)…

A: Let μ and σ 2 denote the mean and variance of a random variable X

Q: Given that the variances of random variables X and Y are 1600 and 900, respectively. The correlation…

A: The following is the formulae for Var (X + Y)                               Var (X + Y) = Var (X) +…

Q: The random variable x has a normal distribution with mean 50 and variance 9. Find the value of x,…

A: Since, you have you have posted a question with multiple subparts we will solve first three subparts…

Q: The mean and variance of a binomial distribution are 4 and 4 respectively. Find P(X 21). 3. -

A:

Q: Find the m.g.f of uniform distribution and hence find its mean and variance.

A:

Q: The expectation of X, which is also known as the mean or average, is E(X) = 7 and the Variance of X…

A: We have given that  The expectation of X, which is also known as the mean or average, is E(X) = 7…

Q: Let the random variable x have a normal distribution with a mean value of 70 and a variance of 25.…

A: Given data: Mean = 70 Variance = 25 To find: P (x &lt; 80 ) = ?