Answer:
Hello you question lacks some information attached below is the missing information
answer : When X = 1 people regularly watch the show otherwise X = 0
Joint probability = 1 ( 100%)
Step-by-step explanation:
16% = regularly watched the show
45% = correctly identify with the product
15% = watched the show and correctly identify the product
To define X
When X = 1 if people regularly watch the show otherwise X = 0
To define Y
When Y = if people identify correctly identify with product otherwise Y = 0
Determining the joint probability distribution of x and y
= P ( x ∩ y )
to obtain the joint probability we have to apply the marginal probabilities of X and Y
when : y = 0, x = 0, 1 marginal distribution of y = 0.54 + 0.01 = 0.55
when : y = 1 , x = 0, 1 marginal distribution of y = 0.30 + 0.15 = 0.45
when : x = 0 , y = 0,1 marginal distribution of x = 0.54 + 0.30 = 0.84
when : x = 1 , y = 0 , 1 marginal distribution of x = 0.01 + 0.15 = 0.16
as can be seen above the joint probability distribution of x and y = 1
