Question: A computer vender knows the following information by his experience. 20% of the time he does not sell any computer, 35% of the time he

A computer vender knows the following information by his experience. 20% of the time he does not sell any computer, 35% of the time he sells one computer, 25% of the time he sells two computers, and 20% of the time he sells three computers. Taking the number of computers the vender sells as the random variable X, answer the following questions:

i. Construct the probability distribution of X in the tabular form.

ii. Construct the cumulative distribution function (cdf) of X.

iii. Calculate the expected number of computers the vender sells.

iv. Calculate the variance of the number of computers the vender sells.

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