Question

A disk drive manufacturer sells storage devices with capacities of one terabyte, 500 gigabytes, and 100 gigabytes with probabilities 0.5, 0.3, and 0.2, respectively. The revenues associated with the sales of the storage devices in that year are estimated to be $50 million, $25 million, and $10 million, respectively. Let X denote the estimated revenue of storage devices during that year. Determine the probability mass function of X.

Answer 1

Explanation:

From the given information;

Revenue connected to 0.5 probability = 50 million

Revenue connected to 0.3 probability = 25 million

Revenue connected to 0.2 probability = 10 million

Suppose X is the variable that represents the revenue of storage devices in that year, Then: the probability mass function;

`P(X =x) = \left\{\begin{array}{ccc}0.5 \ if \ X = 50 million \\0.3 \ if \ X = 25million \\0.2 \ if \ X = 10 million \end{array}\right`