Part C Needle Injections The exposure/contraction rates for HIV through injectio

Question

Part C Needle Injections The exposure/contraction rates for HIV through injection drug use has been estimated at 1.8% per exposure to an infected needle. 9. (1 mark) What is the probability a person using an infected needle does not contract H (consider only 1 exposure)? 10. (2 marks) Despite the risk, some share needles after some effort to clean them. Suppose that cleaning the needle after it carries HIV reduces the transmission rate to 0.8% per exposure to infected needle. Using this new transmission rate, what is the probability that a person uses 52 different infected needles (i.e. 52 different exposures and never contracts HIV in any of these 52 exposures? Assume that each exposure is independent of all others

Explanation / Answer

9.

P(not infect) = 1 - 0.018 = 0.982 [ANSWER]

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10.

P(not infect after 52 needles) = (1-0.008)^52 = 0.658577595 [ANSWER]

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