Question

210 students were asked whether they want to go to a water park or a roller skating rink for a class party.50 students are girls who want to go to the water park.45 students are girls who want to go skating.60 students are boys who want to go to the water park.3. To the nearest hundredth, what is the relative frequency of boys who want to go to the water park?4. The probability that a student is in a category can be approximated by the relative frequency. To the nearest hundredth, what is the probability that a randomly selected student is a girl who wants to go skating?

Answer 1

3. We have to calculate the relative frequency of the class "boys who want to go to the water park".

We can calculate the relative frequency as the quotient between the absolute frequency, which in this case is 60, and the total sample size, which is 210.

$f=\frac{60}{210}\approx0.29$

4. We have to estimate the probability of selecting a girl who wants to go skating.

As this class has an absolute frequency of 45, we can approximate the probability as:

$P(G\text{ and }S)=\frac{45}{210}\approx0.21$

Answer:

3. The relative frequency is approximately 0.29.

4. The probability is approximately 0.21.