(3) Statistics and Probability

3. Consider drawing 2 balls at random with replacement from a jar containing 2 black balls and 4 white balls. Let X be the number of black balls selected. a. Construct a table giving the probability function of X. b. What is the chance of picking at most 1 black balls? c. What is the chance of picking at least 2 black balls? d. Compute the mean and standard deviation of X