Question

Employees were asked how many times per week they exercised. The frequency table shows the results of the survey.

Answer 1

Total frequency = 5+10+2+9+33+12+15+3+1 = 90

(a) Create a probability distribution table

(b) P(x<4) =

`\begin{gathered} P(x<4)=p(x=1)+p(x=2)+p(x=3) \\ p(x<4)=(5)/(90)+(10)/(90)+(2)/(90)+(9)/(90) \\ =(5+10+2+9)/(90) \\ =(26)/(90) \\ =0.2889 \\ \approx0.29\text{ \lparen nearest hundredth\rparen} \end{gathered}`