Question

Family Planning. The following table provides a frequency distribution for the age of adults women seeking pregnancy tests at public health facilities in missouri during a 3 month periods. It appeared in the article "Factors Affecting contraceptive use in women seeking Pregnancy Tests" ( Family planning perspectives vol.32. No.3. pp.124 - 131) by M. sable al.

For one of these Woman selected at random, let

A = event the woman is at least 25 year old.

B = event the woman is at most 29 year old.

C = event that woman is between 18 and 29 year old.

D = event that woman is at least 20 year old.

Describe the following events in words and determine the number of outcomes (women) that constitute each event.

Part (a) (not D)

Part (b) (B & D)

Part (c) (C or A)

Part (d) (A & B)

Short answer

Part (a) Number of outcomes $=89$

Part (b) Number of outcomes$=196$

Part (c) Number of outcomes$=311$

Part (d) Number of outcomes$=66$

Step-by-step solution

Part (a) Step 1. Given information.

The table below shows the age distribution of adult women seeking pregnancy tests at public health facilities in Missouri over a three-month period:

Age (yr)	Frequency
18 - 19	89
20 - 24	130
25 - 29	66
30 - 39	26

A = event the woman is at least 25 year old.

B = event the woman is at most 29 year old.

C = event that woman is between 18 and 29 year old.

D = event that woman is at least 20 year old.

Part (a) Step 2.  In words, the event (not D) and the number of outcomes that make up the event.

(not D) in the case that the woman is under the age of 20. Hence

Number of outcomes $=89$

Part (b) Step 1. Given information.

The table below shows the age distribution of adult women seeking pregnancy tests at public health facilities in Missouri over a three-month period:

Age (yr)	Frequency
18 - 19	89
20 - 24	130
25 - 29	66
30 - 39	26

A = event the woman is at least 25 year old.

B = event the woman is at most 29 year old.

C = event that woman is between 18 and 29 year old.

D = event that woman is at least 20 year old.

Part (b) Step 2.  In words, the event (B & D) and the number of outcomes that make up the event.

(B & D) is the case when the lady is between the ages of 20 and 29.

Number of outcomes

$$\begin{gathered} (B\&D) \\ 130+66=196 \end{gathered}$$

Part (c) Step 1. Given information.

The table below shows the age distribution of adult women seeking pregnancy tests at public health facilities in Missouri over a three-month period:

Age (yr)	Frequency
18 - 19	89
20 - 24	130
25 - 29	66
30 - 39	26

A = event the woman is at least 25 year old.

B = event the woman is at most 29 year old.

C = event that woman is between 18 and 29 year old.

D = event that woman is at least 20 year old.

Part (c) Step 2.  In words, the event (C or A) and the number of outcomes that make up the event.

If the woman is at least 18 years old, (C or A) is the case.

Number of outcome

$$\begin{gathered} (CorA) \\ 89+130+66+26=311 \end{gathered}$$

Part (d) Step 1. Given information.

The table below shows the age distribution of adult women seeking pregnancy tests at public health facilities in Missouri over a three-month period:

Age (yr)	Frequency
18 - 19	89
20 - 24	130
25 - 29	66
30 - 39	26

A = event the woman is at least 25 year old.

B = event the woman is at most 29 year old.

C = event that woman is between 18 and 29 year old.

D = event that woman is at least 20 year old.

Part (d) Step 2.  In words, the event (A & B) and the number of outcomes that make up the event.

(A & B) is the case when the lady is between the ages of 25 and 29.

Number of outcome

$(A\&B)=66$