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2 years ago

Suppose that P(A) = 0.25 and P(B) = 0.40 . If P(A|B)=0.20 , what is P(B|A) ?

Mathematics

1 answer:

Ket [755]2 years ago

8 0

Answer:

0.32

Step-by-step explanation:

<u>Use of formula:</u>

P(A and B) = P(A)*P(B|A) and
P(A and B) = P(B)*P(A|B)

<u>According to above and based on given:</u>

P(A)P(B|A) = P(B)P(A|B)
P(B|A) = P(A|B)*P(B)/P(A)
P(B|A) = 0.20*0.40/0.25 = 0.32

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Step-by-step explanation:

we know that

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Part 2) China

we have

$a=1,261,832,000\\r=0.9\%=0.9\100=0.009$

substitute

$P(t)=1,261,832,000(1+0.009)^t$

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Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=1,261,832,000(1.009)^5=1,319,645,764\ people$

Part 3) Mexico

we have

$a=100,350,000\\r=1.8\%=1.8\100=0.018$

substitute

$P(t)=100,350,000(1+0.018)^t$

$P(t)=100,350,000(1.018)^t$

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Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=100,350,000(1.018)^5=109,712,539\ people$

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substitute

$P(t)=51,965,000(1+0.031)^t$

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Find the value of t

t=2005-2000=5 years

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$P(5)=51,965,000(1.031)^5=60,534,681\ people$

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