State Populations. From Infoplease, we obtained data on state population from which we constructed the following frequency distribution.

Population size

(millions) Frequency Under 1 6 1–under 2 8 2–under 3 6 3–under 5 8 5–under 10 15 10 & over 7 Compute the following conditional probabilities directly; that is, do not use the conditional probability rule. For a state selected at random, find the probability that the population of the state obtained is

a. between 2 million and 3 million.

b. between 2 million and 3 million given that it is at least 1 million.

c. less than 5 million given that it is at least 1 million.

d. Interpret your answers in parts (a)–

(c) in terms of percentages.