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.