A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 33% of the cameras sold have been of the basic model. Of those buying the basic model, 48% purchase an extended warranty, whereas 48% of all deluxe purchasers do so. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model

33% probability that he or she has a basic model

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has an extended warranty

Event B: Basic model

Probability of an extended warranty:

48% of 33%(basic model)

48% of 100 - 33 = 67%(deluxe model).

So

Intersection:

48% of 33%(basic model with extended warranty).

So

How likely is it that he or she has a basic model

33% probability that he or she has a basic model

pretty sure 750 each month!

step-by-step explanation: