Question

A life insurance company was interested in learning how the extent of an occupant's injury in a major car accident relates to whether or not the occupant was wearing a seat belt. The company's findings are shown in the table.InjurySeat BeltNo Seat BeltTotalMinor/None9015105Major7555130Fatal155065Total180120300According to this study, what is the probability that the occupant suffered minor or no injury, given that the occupant was wearing a seat belt? a90 over 105 b105 over 180 c90 over 180 d105 over 300

Answer 1

From the table, we can deduce the following:

Number of occupants who had minor/no injury on seat belt = 90

Number of occupants who had minor/no injury with no seat belt = 15

Total occupants with minor or no injury = 105

Total occupants with seat belt = 180

Let's find the probability that an occupant suffered minor or no injury . given that the occupant was wearing a seat belt.

To find the probability, we have:

$P=\frac{number\text{ of occupants who had minor/no injury with seat belt}}{Total\text{ number of occupants on seat belt}}$

Therefore, we have:

$\begin{gathered} P=\frac{90}{180} \\ \\ P=\frac{1}{2} \end{gathered}$

The probability that the occupant suffered minor or no injury, given that the occupant was wearing a seat belt is 90 over 180.

ANSWER:

c. 90 over 180