Question 7
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
[tex]P\mleft(E\mright)=\frac{Number\text{ of favourble outcome}}{Total\text{ Number of outcomes}}[/tex]In this case, the number of favorable outcomes in our case is the number of people who lied = 28 +14 =42
The total number of outcomes will be the sum of all outcomes = 28 +14+ 18+40 =100
Thus, The probability of selecting a subject who lied will be
[tex]P(E)=\frac{Number\text{ of favourble outcome}}{Total\text{ Number of outcomes}}=\frac{42}{100}=0.420[/tex]Thus, the probability of selecting those who lied will be 0.420