Question

I give medalsss
Colby is testing the effectiveness of a new allergy medication. There are 100 people with allergies in the study. Sixty-two patients received the allergy medication, and 38 other patients did not receive treatment. Fifty of the patients who received the medication reported no allergies at the end of the study. Twenty of the patients who did not receive medication reported no allergies at the end of the study. What is the probability that a patient chosen at random from this study took the medication, given that they reported no allergies?



guys please helppp

Answer 1

@kropot72 can you help me?

Answer 2

Do you understand the probability tree?

Answer 3

no can you explain me

Answer 4

you just divide the number of patients that were treated by the total right?

Answer 5

@kropot72 you there?

Answer 6

can you just tell me how to solve it? i appreciate what you are typing but please just give me a formula, i have to finish this in 10 minutes

Answer 7

"Sixty-two patients received the allergy medication, and 38 other patients did not receive treatment." This is where the probabilities 0.62 and 0.38 come from.

"Fifty of the patients who received the medication reported no allergies at the end of the study." 50/62 = 0.806. Also 1.000 - 0.806 = 0.194.

"Twenty of the patients who did not receive medication reported no allergies at the end of the study." 20/38 = 0.526. Also 1.000 - 0.526 = 0.474.

The probability that a patient was treated and had no allergies is given by:
\[P(treated/no\ allergies)=0.62\times0.806=you\ can\ calculate\]
The probability that a patient was untreated and had no allergies is given by:
\[P(untreated/no\ allergies)=0.38\times0.526=you\ can\ calculate\]
The required probability is given by:
\[\large \frac{P(treated/no\ allergies)}{P(treated/no\ allergies)+P(untreated/no\ allergies)}\]

Answer 8

so i plug in the information that you gave into this formula?

Answer 9

Basically. However you need to calculate the two values of probability to plug in.

Answer 10

okay let me see.

Answer 11

can you explain me how to plug in the information into that formula?

Answer 12

The probability that a patient chosen at random from this study took the medication, given that they reported no allergies is given by:
\[\large \frac{(0.62\times0.806)}{(0.62\times0.806)+(0.38\times0.526)}=you\ can\ calculate\]

Answer 13

.714???

Answer 14

i think that's the answer

Answer 15

You are correct.

Answer 16

;) thank you,

Answer 17

You're welcome :)

Answer 18

you saved my live, I really appreciate it.

Answer 19

Thankyou SO MUCH! It was correct :D

Answer 20

You're welcome :)