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According to an​ almanac, 60% of adult smokers started smoking before turning 18 years old. ​(a)...

According to an​ almanac, 60% of adult smokers started smoking before turning 18 years old.

​(a) If 400 adult smokers are randomly​ selected, how many would we expect to have started smoking before turning 18 years​ old?

We would expect about _______ adult smokers to have started smoking before turning 18 years old.​(Type a whole​ number.)

​(b) Would it be unusual to observe 340 smokers who started smoking before turning 18 years old in a random sample of 400 adult​ smokers? Why?

Math   Statistics-And-Probability   
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Answer #1

a) The expected value of a probability distribution with a random variable X is

where p = 0.6, i.e probability that the adult smokers started smoking before turning 18 years old.

We would expect about adult smokers to have started smoking before turning 18 years old

b) The chances that we may observe 340 smokers who started smoking before turning 18 years old in a random sample of 400 adult​ smokers is

Hence it would be unusual to observe 340 smokers who started smoking before turning 18 years old in a random sample of 400 adult​ smokers

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