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

If each app sells for $5.99, what is the expected daily total dollar amount taken in by the developer from the sale of apps?
A. $5.99
B. $53.40
C. $59.90
D. $314.22
E. $319.87

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 Px 005 025 018 012 03 01 class=

Respuesta :

Answer:

Total amount taken in by the depeloper from the sale of apps = sum(5.99 * x * 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

= 319.87

Ans: $319.87

Step-by-step explanation:

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:

brainly.com/question/13233983

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