Question 3 (5 points) Here is a table showing fictitious trial results of a new

Question

Question 3 (5 points) Here is a table showing fictitious trial results of a new acne medication: Condition improved (I) No change (N) Condition worse (W) Total Used medication (M) Used placebo (L) Total 1,600 200 200 2,000 60 30 10 100 1,540 170 190 1,900 Assume that a participant is selected at random. Let M be the event that the participant used the medication, L the event that the participant used the placebo, / the event that the participant's condition improved, and so on as shown by the letters in the headings. Find the following probabilities: (a) (1 point) That a participant who used the placebo saw their condition worsern Solution: (b) (1 point) That a participant whose condition worsened used the placebo Solution:

Explanation / Answer

a) participant who use the placebo saw their condition worsen is

from the table we have placebo saw 190

total placebo 1900

probability is 190/1900 = 1/10

b) the participant whose condition wornsed using the placebo is

we have    placebo saw 190

conditions worsen total is 200

probability is 190/200= 19 /20

c) P(N/M)

NO CHANGE is 30

total medication is 100

probability is 30/100= 3/10

e)

no using the mediction condition will less worsen ecausse from table 60/100 of medication = 0.6

using placebo = 1590/1900=0.83

so probability is more in palcebo so using medication will not less worsen

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