Assume that you have a random variable X which is binomially distributed, and someone told you that the mean of this variable 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: 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: The weights of apples sold in a Toronto supermarket are independently distributed with mean l and…

A: Sampling distribution: If the population is normally distributed then the sampling distribution is…

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: Let X and Y be identically distributed with mean 3 and variance 25. (a) If X and Y are uncorrelated,…

A: Let X and Y be identically distributed with mean 3 and variance 25 . Therefore, EX=3,  EY=3, VarX=25…

Q: A nature reserve has one bird of an uncommon species which frequents the large expanse of reed beds…

A:

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: Find the variance, mean, and standard deviation for n = 100 and p = 0.75 when the conditions for the…

A: We have given that  p = 0.75,     n = 100 The pmf of Binomial distribution is  P(X=x) =…

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: 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: Assume that you have a random variable X which is binomially distributed, and the value of the mean…

A:

Q: Suppose that the random variable has mean and variance o2>0. What are the values of a and b >0 such…

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: Find the mean and the standard deviation of the normallydistributed random variable X if…

A: Given: P(X≤2.2) = 0.4 Here we need to calculate the corresponding Z value  Using Excel :…

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: A discrete random variable X has variance 3. Which of the following is the variance of 3X - 2? 25 3…

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: Find the mean for n = 300 and p = 0.3 when the conditions for the binomial distribution are met.

A: Solution: From the given information, n=300 and p=0.3.

Q: Find the expected value for the variance of the random variablé R=32-4y-5, if the standard deviation…

A: Solution: Given information: σz= 2   Population standard deviation of z σ y= 4   Population standard…

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: 31) The probability that a Poisson variate X takes a positive value is 1 - e-1.5. Find the variance…

A: Given:X variable follows poisson distribution.Find:Varaince and Probability that lies between -1.5…

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: A sample of n = 9 scores has SS = 72. The variance for this sample is s2 = 9. True or False

A: Given sample of n = 9 scores has SS = 72.

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 mean and variance from the m. g.f.of binomial distribution.

A:

Q: Let x2-z,2+ z22. Za is chi-square distribution random variable, where df = 54. What is the standard…

A:

Q: Find the variance, mean, and standard deviation for n = 300 and p = 0.30 when the conditions for the…

A: We have given that  p = 0.30,   n = 300 The pmf of Binomial distribution is  P(X=x) = nCx*px(1-p)n-x…

Q: Use the Alternative formula for Variance to calculate the variance of the random variable in Table…

A: Find the mean of the random variable k using the given probability distribution.Discrete random…

Q: The manager of an industrial plant is planning to buy a new machine of either type A or type B. If t…

A: Given,CA(t)=10t+30Y12CB(t)=8t+30Y22

Q: Suppose X is random variable with E(X^2)= 10 and E(X)=2. What is the variance of X? Suppose X is a…

A:

Q: Find the mean and variance from the m. g. f.of binomial distribution.

A:

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

A:

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

A:

Q: If a random variable has a Binomial Distribution with parameters n = 20 and p= 0.1then it has a…

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: Show that E(p) =p where p =, the probability of success for a binomial random variable X. What does…

A: Solution

Q: Find the variance for the values of n and p when the conditions for the binomial distribution are…

A: Conditions for the binomial distribution  The trails are independent. The experiment is performed a…

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: b) Suppose that 10% of the values of a normally distributed random variable X are below 50, and 5%…

A: Assume, X be the random variable. It is mentioned that X follows normal distribution with mean μ and…

Q: Let X be a random variable with X -3 and oz = 5. Find the mean and the variance of Y = -2X -3

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…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.