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In: Statistics and Probability

Bupropion and Nicotine are the most common methods utilised in assisting smokers quit their addiction. Unfortunately,...

Bupropion and Nicotine are the most common methods utilised in assisting smokers quit their addiction. Unfortunately, these methods aren’t effective for everyone however, with approximately 45% of people relapsing. Assume time taken to relapse is normally distributed with a mean of 8.5 days and a standard deviation of 1.9 days, answer the following questions.

  1. a) What is the probability that a randomly selected smoker will last at least 5 days?

  2. b) What is the probability that a randomly selected smoker will relapse in less than 10 days?

  3. c) What is the probability that a randomly selected smoker will have a relapse time between 5 and 10 days?

  4. d) How many days would a randomly selected smoker had to have lasted (in terms of relapse time) if they were to be placed within the top 3% of all smokers?

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