Question

Use the frequency​ distribution, which shows the number of American voters​ (in millions) according to​ age, to find the probability that a voter chosen at random is in the 18 to 20 years old age range.

Ages FrequencyFrequency    18 to 20 5.4 21 to 24 8.1 25 to 34 23.5 35 to 44 24.2 45 to 64 50.6 65 and over 27.3

The probability that a voter chosen at random is in the 18 to 20 years old age range is ___. (Round to three decimal places as​ needed.)

Use the frequency distribution to the​ right, which shows the number of voters​ (in millions) according to​ age, to find the probability that a voter chosen at random is in the given age range. not between 18 to 20 years old.		Ages of voters	FrequencyFrequency
		18 to 20	8.2
		21 to 24	8.3
		25 to 34	24.6
		35 to 44	23.8
		45 to 64	59.3
		65 and over	28.4

The probability is ____.

Answer 1

Question 1

Given the frequency distribution, which shows the number of American voters​ (in millions) according to​ age. We need to find the probability that a voter chosen at random is in the 18 to 20 years old age range.

No.	Ages	Frequency
1	18 to 20	5.4
2	21 to 24	8.1
3	25 to 34	23.5
4	35 to 44	24.2
5	45 to 64	50.6
6	65 and over	27.3

Now to calculate the probability let us find the total frequency

No.	Ages	Frequency
1	18 to 20	5.4
2	21 to 24	8.1
3	25 to 34	23.5
4	35 to 44	24.2
5	45 to 64	50.6
6	65 and over	27.3
Total	139.1

Now the probability that a voter chosen at random is in the 18 to 20 years old age range is

Hence the probability that a voter chosen at random is in the 18 to 20 years old age range is 0.039

Question 2

Given the frequency distribution, which shows the number of American voters​ (in millions) according to​ age. We need to find the probability that a voter chosen at random is not between the 18 to 20 years old age range.

No.	Ages	Frequency
1	18 to 20	8.2
2	21 to 24	8.3
3	25 to 34	24.6
4	35 to 44	23.8
5	45 to 64	59.3
6	65 and over	28.4

Now to calculate the probability let us find the total frequency

No.	Ages	Frequency
1	18 to 20	8.2
2	21 to 24	8.3
3	25 to 34	24.6
4	35 to 44	23.8
5	45 to 64	59.3
6	65 and over	28.4
Total	152.6

First let us find the probability that a voter chosen at random is between the 18 to 20 years old age range

Now we need to find the probability that a voter chosen at random is between the 18 to 20 years old age range.

We know that,

Hence the probability that a voter chosen at random is not between the 18 to 20 years old age range is 0.946