According to an almanac, 60% of adult smokers started smoking before turning 18 years old.
a. Compute the mean and standard deviation of the random variable x, the number of smokers who started before 18 in 300 trials of the probability experiment.
\mux =_____
\sigmax = ____
b. What is the correct interpretation of the mean?
Choose the correct answer below.
It is expected that in a random sample of 300 adult smokers, 180 will have started smoking after turning 18.
It is expected that in 50% of random samples of 300 adult smokers, 180 will have started smoking before turning 18.
It is expected that in a random sample of 300 adult smokers, 180 will have started smoking before turning 18.
c. Would it be unusual to observe 270 smokers who started smoking before turning 18 years old in a random sample of 300 adults smokers?
Choose the correct answer below
Yes, because 270 is between \mu - 2\sigma and \mu + 2\sigma
Yes, because 270 is greater than \mu + 2\sigma
No, because 270 is greater than \mu + 2\sigma
No, because 270 is between \mu - 2\sigma and \mu + 2\sigma
No, because 270 is less than \mu - 2\sigma