For a continuous random variable X having p.d.f. f and c.d.f. F , 10 random observations are obtained as follows: 12, 15, 15, 15, 18, 18, 20, 23, 23, 26 Apply kernel density estimation method, using a...

For a continuous random variable X having p.d.f. f and c.d.f. F , 10 random observations are obtained as follows:

12, 15, 15, 15, 18, 18, 20, 23, 23, 26

Apply kernel density estimation method, using a uniform kernel with bandwidth h = 5, to estimate the following:

(a) f(15) (b) F(20)

Compare the result of part (b) with its empirical estimate.