Q.1 A chemical supply company ships a certain solvent in 10-gallon drums. Let X represent the number of drums ordered by a randomly chosen customer. Assume X has the following probability mass function: 1 2 3 4 5 P(X = x) 0.1 0.2 K 0.2 0.2 (i) Find the value of constant K that it is a probability mass function. (ii) Find the cumulative distribution function of the number of drums. (iii) Using cumulative distribution function find P(2 < X < 5).

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