Question

A recent survey of 1070 U.S. adults selected at random showed that 669 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. (Enter a number.)

Answer 1

Answer: The probability that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige is 0.63.

Explanation:

As per given ,

The number of U.S. adults surveyed = 1070

The number of U.S. adults U.S. adults that they consider the occupation of firefighter to have very great prestige. = 669

Now , The probability that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige :

`=\frac{\text{Number of U.S. adults consider the occupation of firefighter to have very great prestige}}{\text{Total US adults surveyed}}\\\\=(669)/(1070)\\\\=0.62523364486\approx0.63`

Hence, the probability that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige is 0.63.

Answer 2

≅0.63

Explanation:

Number of US adults selected for the survey= 1070

number of adults who considered the job of fire fighter to have great prestige= 669

Probability= Favorable number of outcome/ total number of outcomes

therefore, the probability that a U.S. adult selected at random has very great prestige =
`(669)/(1070)`

= 0.6252≅0.63