Professor Dean Math 150 Test 3 Practice Problems Unless stated otherwise, expres

Question

Professor Dean Math 150 Test 3 Practice Problems Unless stated otherwise, express all probabilities as decimals rounded to three places. 1.) A company tests the effectiveness of an experimental drug on a sample of volunteer chronic headache patients. Here are the following results: Headache PersistsNo Effect Totals Headache Subsidies 132 174 119 293 18 24 Patient took medicine Patient took Placebo Totals 56 19 188 62 43 a.) A patient is selected at random. Find the probability their headache persisted or patient too b.) Find the probability that if two patients are selected randomly, they both showed signs of c.) Given that the patient took the placebo drug, find the probability no effect was seen with the placebo drug. subsiding headaches in the study. regards to the person's headache. 243

Explanation / Answer

Solution:

( a )

The probabilty of selecting a random patient who has headache persisted or took the placebo drug

= ( 119 + 62 - 44 ) / 293

= 0.467

( b )

Probabilty of selecting 2 patients where both showed subsiding headache in trhe study = 188C2 / 293C2

= 17578 / 42778

= 0.411

( c )

Given that the patient took placebo drug, probability that he has no effect = 19 / 119

= 0.160

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