# State Populations. From Infoplease, we obtained data on state population from which we constructed the following frequency distribution.Population size (millions)FrequencyUnder 161–under 282–under 363–under 585–under 101510&over7Compute 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 isa. 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.

Question
61 views

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.

check_circle

Step 1

(a)

The probability of an event can be obtained as follows:

Step 2

Here, the event that the population of the state obtained is between 2 million and 3 million. And frequency of the event is 6. And total frequency is 50.

Substitute 6 for “Number of ways event occurs” and 50 for total frequency” in the above equation

The probability of the event can be obtained as shown below:

Step 3

Thus, the probability that the population of the state obtained is between 2 million and 3 million is 0.12.

(b)

Here, the event E denote that that the population of the state obtained is between 2 million and 3 million given that it is at least 1 million. There are 44 (8+6+8+15+7=44) states that population of 1 m...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Other 