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jesussanchez1445
25.07.2019 •
Mathematics
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 400 trials of the probability experiment. (b) interpret the mean. (c) 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?
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Ответ:
a.) The mean is given by:
The standard deviation is given by:
b.) The mean means that in an experiment of 400 adult smokers, we expect on the average to get about 240 smokers who started smoking before turning 18 years.
c.) It would be unusual to observe 340 smokers who started smoking before turning 18 years old in a random sample of 400 adult smokers because 340 is far greater than the mean of the distribution.
340 is greater than 3 standard deviations from the mean of the distribution.
Ответ:
The Mean and standard deviation of random variable
is
Respectively.
The given problem describes a binomial distribution with![p=60 \% =0.6](/tpl/images/0132/1619/77b3a.png)
a)The mean is given by;
The standard deviation is given by the formula,
b)The mean means that in an experiment of
adult smokers,
of adult smokers started smoking before turning
years old so on an average
smokers who started smoking before turning
years.
c)It would be unusual to observe
smokers who started smoking before turning
years old in a random sample of
adult smokers because
is far greater than the mean of the distribution.
is greater than the standard deviations from the mean of the distribution.
Learn more about Standard deviation concept here,
link
Ответ: