AGE at the time of the marriage Less than 20 2024 2534 3544

AGE at the time of the marriage

Less than 20

20-24

25-34

35-44

45 +

Total

Male

565

7818

26276

10986

12508

58160

Female

1473

11896

25522

9254

8921

57071

Totals

2038

19714

51798

20240

21429

115231

If a person that was married was randomly chosen, what is the probability that the person was a female less than 20 years old? Express your answer as a percent rounded to the nearest whole percent.

If a person that was married was randomly chosen, what is the probability that the person was a male less than 20 years old? Express your answer as a percent rounded to the nearest whole percent.

If a person that was married was randomly chosen, what is the probability that the person was between the ages of 25 and 34? Express your answer as a percent rounded to the nearest whole percent.

Of the people over the age of 45 who got married, what percentage was female? What percentage was male? Express your answer as a percent rounded to the nearest whole percent.

Given that a person married was less than twenty years old, what is the probability that the person was male?

Given that a person married was female, what is the probability that the person was between the ages of 35 and 44?

If a person that was married was randomly chosen, what is the probability that the person was over the age of 45 or female?

If a person that was married was randomly chosen, what is the probability that the person is male and between the ages of 25 and 34?

Describe two events, A and B, which are mutually exclusive for the number of marriages in Michigan. Calculate the probability of each event, and the probability of A or B occurring.

	Less than 20	20-24	25-34	35-44	45 +	Total
Male	565	7818	26276	10986	12508	58160
Female	1473	11896	25522	9254	8921	57071
Totals	2038	19714	51798	20240	21429	115231

Solution

1)
1473/115231
0.0127830184585745
1%

2)
565/115231
0.0049031944528816
0.49%, rounded as
0%

3)
51798/115231
0.4495144535758607
44.95%
45%

4)
12508/21429
0.5836949927668113
58%

Female :
8921/21429
0.4163050072331887
42%

-----------------------------------------------------------------

Given that a person married was less than twenty years old, what is the probability that the person was male?

565/2038
0.2772325809617272
28%

-------------------------------------------------------------------

Given that a person married was female, what is the probability that the person was between the ages of 35 and 44?

9254/57071
0.1621489022445725
16.2%
16%

-------------------------------------------------------------------

If a person that was married was randomly chosen, what is the probability that the person was over the age of 45 or female?

(57071 + 12508)/115231
0.6038218882071665
60.38%
60%

------------------------------------------------------------------

26276/115231
0.2280289158299416
23%

------------------------------------------------------------------

A = Male, less than 20 yrs old
and
B = female less than 20 yrs old

P(A) = 565/115231 ----> 0.0049031944528816
P(B) = 0.0127830184585745

Now, P(A or B) = 0.0127830184585745 + 0.0049031944528816
0.0176862129114561