Question

the table below shows the results of a survey that asked 2871 people whether they are involved in any type of charity work. a person is selected at random from the sample. complete parts (a) through (d).

\

$$\begin{array}{lcccc} & \\text{frequently} & \\text{occasionally} & \\text{not at all} & \\text{total} \\\\ \\text{male} & 225 & 452 & 793 & 1470 \\\\ \\text{female} & 209 & 450 & 742 & 1401 \\\\ \\text{total} & 434 & 902 & 1535 & 2871 \\end{array}$$

(a) find the probability that the person is frequently or occasionally involved in charity work.

p(being frequently involved or being occasionally involved) = \\\\
(round to the nearest thousandth as needed.)

Explanation:

Identify the given values and target

Using the Two-Way Contingency Table Probability knowledge point

• Total surveyed population \(N = 2871\)
• Number of people frequently involved \(n(\text{Frequently}) = 434\)
• Number of people occasionally involved \(n(\text{Occasionally}) = 902\)
• Target: \(P(\text{Frequently or Occasionally})\)

Apply the addition rule

Using the Addition Rule for Probability and Mutually Exclusive Events knowledge points

$$
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$$

Calculate and round the final value

Using the Percentage Calculation knowledge point

$$
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$$

Answer:

The table below shows the results of a survey that asked 2871 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (d).

(a) Find the probability that the person is frequently or occasionally involved in charity work.

P(being frequently involved or being occasionally involved) = <blank>0.465</blank>
(Round to the nearest thousandth as needed.)