The expected daily total dollar amount taken in by the developer from the sale of apps is $319.87 option (E) is correct.
What is uniform distribution?
The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.
We have:
The number of apps a developer sells daily has the probability distribution represented in the table:
Number of Apps, x 0 20 40 60 80 100
P(x) 0.05 0.25 0.18 0.12 0.3 0.1
Each app sells for $5.99
We can calculate the expected daily total dollar amount taken in by the developer from the sale of apps:
The total amount is taken in by the developer from the sale of apps:
= sum(5.99x[P(x)])
= 5.99×0×0.05 + 5.99×20×0.25 + 5.99×40×0.18 + 5.99×60×0.12 +
5.99×80×0.3 + 5.99×100×0.1
= 0 + 29.95 + 43.128 + 43.128 + 143.76 + 59.9
= 319.866 ≈ $319.87
Thus, the expected daily total dollar amount taken in by the developer from the sale of apps is $319.87 option (E) is correct.
Learn more about the uniform distribution here:
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