91Ó°ÊÓ

The given statement is:

From the Florida State Center for Health Statistics report Women and Cardiovascular Disease Hospitalization, we obtained the following table showing the number of female hospitalizations for cardiovascular disease, by age group, during one year.

We know that an event's probability ranges from 0 to 1, and both 0 and 1 are included in it.

The formula for the probability of an event is:

$P\left(E\right)=\frac{No.offavorableoutcomes}{Totalno.ofoutcomes}$

A total of 208,867 females were hospitalized for cardiovascular disease. Therefore, the total number of instances will become 208,867.

The total instances where the woman was in her 50s is:

20,983

Let's call the occurrence 'E' where a woman was in her 50s.

The probability that a woman was in her 50s is:

$$\begin{gathered} P\left(E\right)=\frac{20,983}{2,08,867} \\ =0.100 \end{gathered}$$

The total instances where the woman was less than 50 years old are:

$810+5,029+10,977=16,816$

Let's call the occurrence 'E' where a woman was less than 50 years old.

The probability that the selected woman was less than 50 years old is:

$$\begin{gathered} P\left(E\right)=\frac{16,816}{2,08,867} \\ =0.081 \end{gathered}$$

The total instances where the woman was between 40 and 69 years old, inclusive:

$10,977+20,983+36,884=68,844$

Let's call the occurrence 'E' where a woman was between 40 and 69 years old, inclusive.

The probability that the selected woman was between 40 and 69 years old, inclusive is:

$$\begin{gathered} P\left(E\right)=\frac{68,844}{2,08,867} \\ =0.330 \end{gathered}$$

The total instances where the woman was70 years old or older are:

$65,017+69,167=1,34,184$

Let's call the occurrence 'E' where a woman was 70 years old or older.

The probability that the selected woman was 70 years old or older is:

$$\begin{gathered} P\left(E\right)=\frac{1,34,184}{2,08,867} \\ =0.642 \end{gathered}$$