Need help with probability problems E and F?

2020-04-25 12:06 am
Why did I get E and F wrong?
a)P(C|A)=p(C and A)/p(A)=(0.55*0.4/0.55)=0.4 b)P(D|B)=P(D and B)/P(B)= (0.4*0.45/0.45)=0.4 c)P(A intersection C)= 0.55*0.4=0.22 D)P(B intersection D)=0.4*0.55=0.16 e)p ( C )=0.55*0.4+0.5*0.55=0.22+0.16 =0.38 F)P(D)=0.55*0.6+0.45*0.6=1.15+0.27=1.42
更新1:

apologies for the weird formatting. There is nothing i can do to fix it.

回答 (1)

2020-04-25 12:20 am
✔ 最佳答案
e)
P(C)
= P({A and C} or {B and C})
= P(A and C) + P(B and C)
= 0.55 × 0.4 + 0.45 × 0.6
= 0.49

====
f)
P(D)
= P({A and D} or {B and D})
= P(A and D) + P(B and D)
= 0.55 × 0.6 + 0.45 × 0.4
= 0.51

OR:
P(D)
= 1 - P(C)
= 1 - 0.49
= 0.51


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