In: Statistics and Probability
1. Assume that 7% of people are left-handed. If we select 5 people at random, find the probability of each outcome described below, rounded to four decimal places: a. There are some lefties ( ≥ 1) among the 5 people. b. There are exactly 3 lefties in the group. c. There are at least 4 lefties in the group. d. There are no more than 2 lefties in the group. e. How many lefties do you expect? f. With what standard deviation?
2. According to government data, 35% of employed women have never been married. Rounding to 4 decimal places, if 15 employed women are randomly selected:
a. What is the probability that exactly 2 of them have never been married?
b. That at most 2 of them have never been married?
c. That at least 13 of them have been married?