Question

What is the probability that a patient shows improvement

if it is known that the patient was given the drug?

Answer 1

.3375

Step-by-step explanation:

Total people who were given drug: 800

Total people who showed improvement: 270

Probability:

`\boxed{ \sf (favorable \ outcomes )/(total \ possible \ outcomes)}`

insert values

`\rightarrow \sf (270)/(800)`

simplify

`\rightarrow \sf (27)/(80)`

in decimals

`\rightarrow \sf 0.3375`

Answer 2

d) .3375

Step-by-step explanation:

let E be the event : “the patient shows improvement”

D be the event : “the patient was given the drug”

here we are in a conditional probability situation:

Let E/D be the event “a patient shows improvement ,if it is known that the patient was given the drug”

`p\left( E|D\right) =(p\left( E\cap D\right) )/(p\left( D\right) )`

`=(270)/(800)`

`=0.3375`