Question

A sample of 342 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified according tomajor ("blology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table below.Biology Business Engineering Mathematics Computer scienceFemale4623501837Male4815461544What is the relative frequency of male students in the sample?Round your answer to two decimal places.0Х5.?

Answer 1

The relative frequency of an event is the quotient of the division between the event and the total number of the sample

From the given table

Add the numbers of males to find their total

`48+15+46+15+44=168`

Then add the numbers of females and males to find the total of the sample

`168+46+23+50+18+37=342`

Now, divide the number of males by the total to find the relative frequency

`\begin{gathered} R\mathrm{}F=(168)/(342) \\ R\mathrm{}F=0.4912280702 \end{gathered}`

Round it to 2 decimal places, then

The relative frequency of the male students = 0.49