Normal distribution is a probability distribution of _____ random variable?

Related Mcqs:

1. Probability distribution of a random variable is also know as Probability_________________?

   A. Probability Function
   B. Distribution Function
   C. Probability Distribution
   D. Probability Density Function

2. If the sampled population has a normal distribution, when is the sampling distribution of the sample mean X also a normal distribution ?

   A. Only when the sample size is at least 100.
   B. Only when the sample size is smaller than 30
   C. Always
   D. Only when the sample size is at least 30.

3. Let X1,X2,……,Xn be a random sample from a density,,,, f(x ι θ) where θ is a value of the random variable Θwith known density gΘ(θ) Then the estimator ∏(θ) with…/ respect to the prior gΘ(θ) is define as_________________E[∏(θ)ιX1,X2,…..,Xn] is called?

   A. Posterior Bay’s estimator
   B. Minimax estimator
   C. Bay’s estimator
   D. Sufficient estimator

4. Let X1,X2,……,Xn be a random sample from a density,,,, f(x ι θ) where θ is a value of the random variable Θwith known density gΘ(θ) Then the estimator ∏(θ) with…/ respect to the prior gΘ(θ) is define as______________E[∏(θ)ιX1,X2,…..,Xn] is called?

   A. Posterior Bay’s estimator
   B. Minimax estimator
   C. Bay’s estimator
   D. Sufficient estimator

5. Normal distribution is _____ distribution?

   A. Symmetrical
   B. non-symmetrical
   C. + vely skewed
   D. -vely skewed

6. A function probability that a random variable of x has a value less than is called _____________?

   A. Random function
   B. Distribution function
   C. Continuous function
   D. probability function

7. A random variable X has binomial distribution with n = 10 and p = 0.3 then variance of X is:_____________________?

   A. 10
   B. 12
   C. 2.1
   D. 21
   E. None

8. Let Z1,Z2,….Zn be independent and identically distributedrandom variable, satisfying E[ι Zt ι]<∞. Let N be an integer valued random variable whose value n depends only on the values of the first n Z¡'s. Suppose E(N)< ∞, then E(Z1,Z2,….Zn)=E(N)E(Z) is called ?

   A. Independence Equation
   B. Sequential Probability Likelihood Equation
   C. Neyman Pearson Lemma
   D. Wald’s Equation

9. A sampling distribution is the probability distribution for which one of the following___________?

   A. A sample
   B. A sample statistic
   C. A population
   D. A population parameter

10. if in a binomial probability distribution mean and variance are 6 and 2.4 respectively, then the parameters of this distribution are:____________________?

    A. n = 10, p = 6/10
    B. n = 50, p = 6/50
    C. n = 10, p = 3/5
    D. n = 10, p = 2/5