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 in that year are estimated to be $50 million, $25 million, and $10 million, respectively. Let X denote the revenue of storage devices during that year. Determine the probability mass function of X.

Question

Clara Dennis

Computers & Technology

12 October, 11:11

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 in that year are estimated to be $50 million, $25 million, and $10 million, respectively. Let X denote the revenue of storage devices during that year. Determine the probability mass function of X.

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Answers (1)

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Caden Owen · Answer 1

Answer and Explanation:

As per the question:

The Probability Mass function also known as frequency function of the variable X can be defined as a capacity or function that gives the likelihood that a discrete arbitrary variable is actually equivalent to some value.

From the question it can be given as:

f (50) = P (X = 50) = 0.5

f (25) = P (X = 25) = 0.3

f (10) = P (X = 10) = 0.2