For the events "shower gel” and "scented” to be independent, what must be shown to be true? P(lotion) = 42% P(scented) = 42% P(s

Question

taurus [48]

4 years ago

6

For the events "shower gel” and "scented” to be independent, what must be shown to be true? P(lotion) = 42% P(scented) = 42% P(s

hower gel | scented) = 42% P(scented | shower gel) = 42%

Mathematics

2 answers:

madreJ [45] · Answer 1 · 2021-12-07T03:57:50+03:00

Hi, I was able to find the full context for this one from another source:

<span>"Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel."

For the "shower gel" and "scented" to be independent given the situation above, we need to show that P(A | B) = P(A). You can get this equation from the definition of "independence" where P(A </span>∩ B) = P(A)*P(B) and the formula for conditional probability P(A | B).

We only have the given P(shower gel) = 42% therefore the event "shower gel" must be the variable A.

ANSWER: To show independence of the two events, P(shower gel | scented) = 42% must be true.

Aleks04 [339] · Answer 2 · 2021-12-07T05:01:21+03:00

Aleks04 [339]4 years ago

4 0

Answer:

P (shower gel l scented) 42%

Step-by-step explanation: