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Explanation & Answer
Hellooo. Here is the work
Question 1
Compute the weighted mean for the following data
Xi
weight (wi)
19
12
17
30
14
28
13
10
18
10
19 x12 = 228
17 x 30 =510
14 x 28 = 392
13 x10 = 130
18 x10 =180
Total Xi = 1440 /Total (wi) = 90, 1440/90 = 16 answer is 16
Questions 2
If P(A) = 0.50, P(B) = 0.40 and P(A U B) = 0.88 then P(B|A) =
P(A ∩ B) = P(A) + P(B) - P(A U B) = 0.5 + 0.4 - 0.88 = 0.02
Hence
P(B|A) = P(A and B) / P(A) = 0.02 / 0.5 = 0.04
Alternatively,
P(A U B) = P(A) + P(B) - P(A ∩ B)
0.88 = 0.5+0.4- P(A ∩ B)
Or, P(A ∩ B)= 0.5+0.4 - 0.88 = 0.02
P(B/A) = P(A ∩ B)/P(A)
= 0.02/...