The probability density function of a random variable Y is given by 24y(10+2y-0.3y²) f, (y) =- 0 < y<10 10000 0, otherwise Suppose a random sample of 40 observations is obtained from this distribution and these are denoted as Y,,Y,,…,Y40 • 40 a) Approximate the probability that the sample sum T = Ey, is between 200 and 250. i=1 b) Approximate the probability that the sample mean Y is less than 5.5.

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