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Plot some (any, your choice) p.d.f. that has

(a) mean zero and variance = 4.2

(b) mean zero, variance = 4.2, and skewness = 2.7

(c) mean zero, variance = 4.2, skewness = 2.7, and kurtosis = 6

(d) could you hope to do the same, but with kurtosis = 5? (Hint: look at Moment Problem in Wikipedia)