Question 1

given the following information about events a, b, and c, determine which pairs of events, if any, are independent and which pairs are mutually exclusive.

p(a)=0.26 , p(b)=0.5 , p(c)=0.45 . p(a|b)=0.26 , p(b|c)= 0 , p(c|a)=0.26

select all correct answers.

select all that apply:

b and c are independent
a and c are mutually exclusive
a and b are independent
a and c are independent
b and c are mutually exclusive
a and b are mutually exclusive

question 2

let e be the event that a randomly chosen person exercises. let d be the event that a randomly chosen person is on a diet. identify the answer which expresses the following with correct notation: of all the people who exercise, the probability that a randomly chosen person is on a diet.

select the correct answer below:

p(d) and p(e)
p(e and d)
p(e|d)
p(d|e)