In Exercises 5.16-5.26, express your probability answers as a decimal rounded to three places.

Murder Victims. As reported by the Federal Bureau of Investigation in Crime in the United States, the age distribution of murder victims between 20 and 59 years old is as shown in the following table.

A murder case in which the person murdered was 59 years old is selected at random. Find the probability that the murder victim was

(a) between 40 and 44 years old, inclusive.

(b) at least 25 years old, that is, 25 years old or older.

(c) between 45 and 59 years old, inclusive.

(d) under 30 or over 54.

The given statement is:

As reported by the Federal Bureau of Investigation in Crime in the United States, the age distribution of murder victims between 20 and 59 years old is as shown in the following table.

The total instances where the murders were at least 25 years old, that is, 25 years old or older are:

$1892+1414+1046+900+854+673+500=7279$

Let's call the occurrence 'E' where the murder victim was at least 25 years old, that is, 25 years old or older.

The probability that the murder victim was at least 25 years old, that is, 25 years old or older is:

$P\left(E\right)=\frac{7279}{9608}$

The total instances where the murders were between 45 and 59 years old, inclusive is:

$854+673+500=2027$

Let's call the occurrence 'E' where the murder victim was between 45 and 59 years old, inclusive.

The probability that the murder victim was between 45 and 59 years old, inclusive is:

$P\left(E\right)=\frac{2027}{9608}$

The total instances where the murders were under 30 or over 54 are:

$2329+1892+500=4721$

Let's call the occurrence 'E' where the murder victim was under 30 or over 54.

The probability that the murder victim was under 30 or over 54 is:

$P\left(E\right)=\frac{4721}{9608}$