Question

A recent survey of 1030 U.S. adults selected at random showed that 689 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.

Answer 1

66.89% probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

The number of adults who think that firefighters have very high prestige. So
`D = 689`

Total outcomes:

The total number of adults surveyed, so
`T = 1030`

Probability:

`P = (D)/(T) = (689)/(1030) = 0.6689`

66.89% probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.