Question

Assuming a random variable X with the following distribution X= last digit of your student number...

Assuming a random variable X with the following distribution

X= last digit of your student number and second last digit number of your student number

If the last two digits of your student number are the same, use 1 and 0 for the question.

The Probability X is the last digit of your student number is 0.6

The Probability X is the last digit of your student number is 0.4

  1. What is the population mean and variance of X?
  2. Show the sampling distribution the Xbar when the sample size is 5.
  3. What is the mean and variance of X bar ?
  4. When the sample size is larger than 25, how do you think Xbar  is distributed? What is the mean and variance of Xbar?

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