Question

a) Out of all items sent for refurbishing, %40 had mechanical defects, %50 had electrical
defects, and %25 had both. Denoting  defectmechanicalahasitemanA  and
 defectmechanicalahasitemanB  . Fill the probabilities into the Venn diagram and
determine the quantities listed below.
(i)  AP [2 Marks]
(ii)  BAP  [1 Mark]
(iii)  BAP c 

Answer 1

i. P(A) = 0. 4

ii. P(AB) = 0. 9

iii. P(A∩B) =0. 25

How to determine the probability

From the information given,

Universal set = 40% + 50% + 25% = 0.40 + 0. 50 + 0. 25

A = Mechanical defects = 40%

B = Electrical defects = 50%

A∩B =25%

i. Probability of A , P(A)

= $\frac{40}{100}$

= $0. 4$

ii. Probability of B, P(AB)

= $\frac{40}{100} + \frac{50}{100}$

= $0. 4 + 0. 5$

= $0. 9$

iii. Probability of A∩B entails the common factor between A and B

P(A∩B)  = $\frac{25}{100}$ = $0. 25$

Learn more about Venn diagram here:

https://brainly.com/question/4910584

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