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I collect the following data from a random sample of 15 adults: height and if they...

I collect the following data from a random sample of 15 adults: height and if they have asthma. Adult height in this community follows a normal distribution with a mean of 178 cm and a standard deviation of 10 cm. Also, 9 % of adults in this community have asthma.

    • What is the probability that the mean height of a sample of 15 adults is between 170 and 180 cm?
    • What is the probability that less than 4 of the sample have asthma?
    • What is the probability that one sample has both a mean height between 170 and 180 cm and less than 4 with asthma?
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