According to data from the American Medical Association, 10% of us are left-handed.
a. If three people are randomly selected, find the probability that they are all left-handed.
b. If three people are randomly selected, find the probability that at least one of them is left handed.
c. Why can’t we solve the problem in part (b) by using the normal approximation to the binomial distribution?
d. If groups of 50 people are randomly selected, what is the mean number of left-handed people in such groups?
e. If groups of 50 people are randomly selected, what is the standard deviation for the numbers of left-handed people in such groups?
f. Use the range rule of thumb to determine whether it would be unusual to get 8 left-handed people in a randomly selected group of 50 people.