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In: Statistics and Probability

a. State the definition of sampling distribution? (3 marks) b. Let’s assume that we have a...

a. State the definition of sampling distribution?
b. Let’s assume that we have a Bernoulli random variable X,
X = a with probability 0.78,
X = b with probability 0.22,
Where a and b are 5 and 9 respectively.
Develop a sampling distribution for sample means of the Bernoulli distribution when the sample size is 6
c. What is the expected value of sample means in question 3.b? What is the variance of the sample means?
d. If the sample size increases to a large number n (n is greater than 30), how are the sample means distributed? ( 3 marks)

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