In: Statistics and Probability
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.
a) What is the probability that a randomly selected smoker will last at least 5 days?
b) What is the probability that a randomly selected smoker will relapse in less than 10 days?
c) What is the probability that a randomly selected smoker will have a relapse time between 5 and 10 days?
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?