find probability ...round final answer 2 decimal

Statistics
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P(Ac)=.86 P(B)=.35 P(A upside down u Bc)=.04

a. find P(A\Bc)=

b. Find P(Bc\A)=

c. Are a and b independent. Yes or no and why

Feb 11th, 2015

P(Ac)=0.86

P(B)=0.35

P(A ∩Bc)=0.04

a. find P(A | Bc)

P(A) =0.14

P(Bc) = 0.65

P(A | Bc) = P(A ∩Bc)/ P(Bc) = 0.04/0.65 = 4/65

b. Find P(Bc | A)

Find P(Bc | A)= P(A ∩Bc)/ P(A)= 0.04 /0.14 =4/14 =2/7

c. Are A and B independent. Yes or no and why?

P(A ∩B)=P(A)- P(A ∩Bc)=0.14-0.04 = 0.1

P(A)*P(B) = 0.14 *0.35 = 0.049 ≠ 0.1

P(A ∩Bc)=0.04

P(A) * P (Bc) = 0.14 * 0.65 = 0.091 ≠ 0.04

A and B are not independent


Feb 11th, 2015

Thank you

Part a .06

Part b .28

Part c is it no because P(a|bc)=p(a)

Feb 11th, 2015

Welcome and wish you all the best.

Feb 11th, 2015

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