Question

I inserted a photo of the problem(s) I am having trouble with.

Answer 1

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.

`P\mleft(E\mright)=\frac{Number\text{ of favourble outcome}}{Total\text{ Number of outcomes}}`

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

`P(E)=\frac{Number\text{ of favourble outcome}}{Total\text{ Number of outcomes}}=(42)/(100)=0.420`

Thus, the probability of selecting those who lied will be 0.420