Question

1. What percentage of people on the AHA diet had some sort of illness or death? 2. What percentage of people on the Mediterranean diet had some sort of illness or death?

Answer 1

1.

Percentage of people on the AHA diet had some sort of illness or death

= percentage of people in the AHA diet had some sort of illness + percentage of people on the AHA diet had death

= (number of people on AHA diet had illness/number of people on AHA diet) * 100

+ (number of people on AHA diet had death / number of people on AHA diet) * 100

= (25/303)*100 + (24/303)*100

= 16.33 %

2.

Percentage of people on the Mediterranean diet had some sort of illness or death

= percentage of people in the Mediterranean diet had some sort of illness + percentage of people on the Mediterranean diet had death

= (number of people on Mediterranean diet had illness/number of people on Mediterranean diet) * 100

+ (number of people on Mediterranean diet had death / number of people on Mediterranean diet) * 100

= (8/302)*100 + ( 14/302)*100

= 7.28 %

{since in Probability,

If A and B are two events, then

P(A or B) = P(A) + P(B) - P(A and B)

Here P(A and B) = 0 as people on either of diet had death or illness are disjoint from each other, since death and illness is not occuring together

Hence P( A or B) = P(A) + P(B),

In the same way we can convert this into percentage by multiplying by 100}