Continuous Random VariableQ2 Problem 2: Weight of a product A is a continuous random variable X (kg). The pdf of Xis f(x)kx(x+4)3ifx € [0; 6]; f(x) = 0_ if x # [0; 6].-a/ Find the value of kb/ Compute the variancec/ Select randomly 20 products, what is the probability that there are 4 productshaving weight less than 4 kg ?d/ The price of a pig greater than 42kg is 3 600 000 VND. The price of a pig lessthan or equal to 42kg is 2 800 000 VND. Find the expected price of a pig.

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A First Course in Probability (10th Edition)

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Problem 2: Weight of a product A is a continuous random variable X (kg). The pdf of X is f(x) = kx(x+4) 3 ifx € [0; 6]; f(x) = 0 if x # [0; 6]. a/ Find the value of k