Business Statistics Compute the weighted mean for the following data

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nzlw123

Business Finance

Description

  1. Compute the weighted mean for the following data.

Question 2

  1. If P(A) = 0.50, P(B) = 0.40, and P(A ∪ B) = 0.88, then P(B | A) =


Question 3

Six vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at random and given to Person A. A tablet is then selected and given to Person B. What is the probability that

  1. Person A was given a vitamin tablet?
  2. Person B was given a sugar tablet given that Person A was given a vitamin tablet?
  3. neither was given vitamin tablets?
  4. both were given vitamin tablets?
  5. exactly one person was given a vitamin tablet?
  6. Person A was given a sugar tablet and Person B was given a vitamin tablet?
  7. Person A was given a vitamin tablet and Person B was given a sugar tablet?

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Explanation & Answer

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Question 1.
Xi

wi

wx

19

12

228

17

30

510

14

28

392

13

10

130

18

10

180

Ʃxi=81

Ʃwi=90

Ʃwx=1440

Weighted mean= Ʃwx / Ʃwi
1440/90= 16

Question 2

P (A) =0.50
P (B) =0.40
P (A U B) =0.88

Addition rule is applied to solve the problem
P (A U B) = P (A) + P (B) – P (A) P (B/A)

0.88= 0.5+0.4 – 0.5 P (B/A)

0.88= 0.9-0.5 P (B/A)

0.02/0.5=0.5/ P (B/A)

P (B/A) = 0.04

...


Anonymous
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