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April 26, 2015

Homework Help: Statistics

Posted by Randy on Tuesday, March 12, 2013 at 1:06pm.

A box contains five numbered balls (1,2,2,3 and 4). We will randomly select two balls from the box (without replacement).

(a) The outcome of interest is the number on each of the two balls we select. List the complete sample space of outcomes.

(b) What is the probability of selecting two even-numbered balls?

(c) What is the probability that the number on the second selected ball is greater than the number on the first selected ball?

(d) Let X be the absolute difference of the two numbers on the selected balls |X1 - X2|, where X1 is the number on the first selected ball and X2 is the second selected ball. Find the probability distribution of X.

(e) What is the probability that X = 2 if the number 4 is not selected?

(f) Find the expected value of X.

(g) Find the variance of X.

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