5. O ne thousand people who are being treated for a medical condition were selec

Question

5. O ne thousand people who are being treated for a medical condition were selected in a simple random sa age-either under 50 or age 50 or older; and how they treated their medical condition-with a pill, with a shot, or with a liquid treatment. One person is selected at random. (6 points cach) mple. Each person was classified in three ways: male or female; Treatment Shot 90 20 Liquid Total 40 25 Pill 210 140 Under 50 80 Female 50 or 95 older Under 50 60 50 or older Total 420 250 330 305 345 85 160 105 Male 185 1000 and takes a pill for Calculate the probability that the selected person is male and under 50 treatment. a. Calculate the probability that the selected person is aged 50 or older or takes a shot for treatment. b. Calculate the probability that is under 50 and takes the liquid treatment. c.

Explanation / Answer

a)

P(male and under 50 and takes a pill)=60/1000=0.06

b)

P(aged 50 or more or takes a shot for treatment)=(140+345+250-20-55)/1000=0.66

c)

P(under 50 and take the liquid treatment)=(40+160)/1000=0.20

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