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A patient is sick with a certain infection where the treatment involves taking $20 drug that has a 90%
chance of curing the infection. If that drug doesn't work, then the patient takes an $80 drug that is almost
guaranteed to cure the infection.
The table below displays the probability distribution of X = the total amount of money a randomly
selected patient spends on this treatment plan.

Respuesta :

ggracehammond

Answer:

24 dollars

Step-by-step explanation:

i did it on khan academy and got it right!

Cricetus

The total amount of money will be "24 dollars".

According to the question,

→ [tex]E(x^2) = \sum x^2 (x)[/tex]

            [tex]= 400(0.9)+(100)^2 \ 0.1[/tex]

            [tex]= 360+1000[/tex]

            [tex]= 1360[/tex]

hence,

The total amount will be:

→ [tex]\delta (x) = \sqrt{E(x^2)-[E(x)]^2}[/tex]

By substituting the values, we get

          [tex]= \sqrt{1360-(28)^2}[/tex]

          [tex]= \sqrt{1360-784}[/tex]

          [tex]= \sqrt{576}[/tex]

          [tex]= 24[/tex]

Thus the response above is right.            

Learn more about  probability here:

https://brainly.com/question/23650759

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