2. Consider the individuals: intflowing relationships beten smoking and byperten

Question

2. Consider the individuals: intflowing relationships beten smoking and bypertension for 9o (3 points) Non-smoker Hypertension No hypertension Smoker 21 48 45 If one of these individuals is chosen at random. Find the probability that the person is experiencing hypertension GIVEN that the person is a non-smoker. Assume that the probability that the air brakes on large trucks will fail on a downgrade is 0.01. Assume also tha on the downgrade with probability 0.8. These braking systems operate independently of one another. Find the probability that the air brakes fail and the emergency brakes cannot stop the truck particularly long t the emergency brakes on such trucks can stop the truck 3. (4 points)

Explanation / Answer

Probability that the person is having hypertension given that person is non-smoker = 1st cell( Hypertension and Non-Smoker)/Total no. of non-smokers =21/69=.304 Probability that the airbrakes fail and emergency brakes cannot stop the truck= P(airbrakes fail)* P(emergency brakes cannot stop the truck) = P(airbrakes fail)*(1- P(emergency brakes can stop the truck)) = .01 *.2 =.002

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