Question

In a poll, 468 out of 1918 people said that their main satisfaction in life comes from work.
(a) What is the probability that a person who was polled finds his or her main satisfaction in life from work? Round your answer to four decimal places.

Answer 1

To find the probability that a person in the poll finds their main satisfaction in life from work, you can use the formula for probability:

\[
P(\text{satisfaction from work}) = \frac{\text{Number of people satisfied with work}}{\text{Total number of people polled}}
\]

In this case:

- Number of people satisfied with work = 468
- Total number of people polled = 1918

Now, substituting the numbers into the formula:

\[
P(\text{satisfaction from work}) = \frac{468}{1918}
\]

Calculating this gives:

\[
P(\text{satisfaction from work}) \approx 0.2435
\]

Rounding to four decimal places, the probability is:

\[
\boxed{0.2435}
\]