According to data from Statistics Canada, Chinese is the mother tongue of 8.1% of Toronto residents. a.
Question:
a. If 3 Toronto residents are randomly selected, find the probability that they all have Chinese as their mother tongue.
b. If 3 Toronto residents are randomly selected, find the probability that at least one of them has Chinese as his or her mother tongue.
c. Why can't we solve the problem in part (b) by using the normal approximation to the binomial distribution?
d. If groups of 100 Toronto residents are randomly selected, what is the mean number of residents whose mother tongue is Chinese in such groups?
e. If groups of 100 Toronto residents are randomly selected, what is the standard deviation for the number of residents whose mother tongue is Chinese?
f. Would it be unusual to get 10 people whose mother tongue is Chinese in a randomly selected group of 100 Toronto residents? Why or why not?
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