forbiscuit forbiscuit
  • 22-07-2018
  • Mathematics
contestada

suppose P(A) = 0.9, P(B) = 0.3, and P(B|A) = 0.2. What is P(A|B) ?

Respuesta :

LammettHash
LammettHash LammettHash
  • 30-07-2018

By definition of conditional probability,

[tex]P(B\mid A)=\dfrac{P(B\cap A)}{P(A)}\implies P(B\cap A)=0.2\cdot0.9=0.18[/tex]

Similarly,

[tex]P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.18}{0.3}=0.6[/tex]

Answer Link

Otras preguntas

Which of the following represents the series? -13 + (-7) + (-1) + 5 + 11
-4.25.(3/10 plus 1/5)
Please hurry Add​​ using a number line. −25+45 Drag and drop the word SUM to the correct value on the number line.
The HIV virus is ---- complex and there are many unknowns about how it operates and how people's bodies react to it. previously extremely considerately equivoca
sort the situation based on which part of autonomic nervous system is at work
. Find the volume and surface area of each prism. a. Prism A: 3 cm by 3 cm by 3 c
A 50-kg stunt diver is falling at a speed of 20 m/s. When she is stopped by sinking into a cushion, the cushion exerts an average force of 2500 n on her. Approx
DOGGOS FAVOURITE SNACKS BE LIKE​
How did the events at Fort William Henry in 1757 weaken the alliance between the French and Native Americans? a. The French did not assist their Native American
Given that 32 √ 2 = 2ª, find the value of a.​