Math

posted by .

Let x represent the number which shows up when a balanced die is rolled. Then x is a random variable with a uniform distribution. Let x-bar denote the mean of the numbers obtained when the die is rolled 32 times. For samples of size 32, which of the following statements concerning the sampling distribution of the mean is true?

A) x-bar is approximately normally distributed.

B) The distribution of x-bar is uniform.

C) x-bar is normally distributed.

D) None of the above statements is true.

I am thinking it is uniformed because of the sample size of 32 which means if this was to be on a dotplot, there would only be one plotted data because the dice was rolled 32 times.

No. X-bar is the running mean. Each time a number is thrown, it changes the mean. It should approximate a normal distribution.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Two dice are rolled. Find the probability that an even number is rolled on one die and an odd number is rolled on the second die.
  2. Math

    Two dice are rolled. Find the probability that a multiple of three is rolled on one die and an even number is rolled on the second die.
  3. Math

    During a game, a balanced die is rolled. A player receives $22 when an even number is rolled, and loses $12 when an odd number is rolled. How much money can he expect on average in the long run?
  4. Finite Mathematics

    Two dice are rolled. Let the random variable X denote the number that falls uppermost on the first die and let Y denote the number that falls uppermost on the second die. (a) Find the probability distributions of X and Y. (b) Find …
  5. Maths

    An 8-sided die shows the numbers 1 to 8. A 6-sided die shows the numbers 1 to 6. If both dice are rolled at the same time, how many possible outcomes are there?
  6. Advanced algebra

    In which distributions does the variable, X, have a binomial distribution?
  7. Advanced algebra

    In which distributions does the variable, X, have a binomial distribution?
  8. Algebra 2/statistics

    On a fair 6-sided die, each number has an equal probability p of being rolled. when a fair die is rolled n times, the most likely outcome (the mean) is that each number will be rolled NP times, with a standard deviation of sqrt NP(1-P). …
  9. Math

    supposed that two balanced dice are rolled. let Y denote the product of the two numbers. use random variable notation to represent the event that the product of the two numbers is greater than 4 a {5,6} b {XY>4} c{Y>4} d P(Y>4)
  10. algebra

    In which distributions does the variable, X, have a binomial distribution?

More Similar Questions