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pochemuha
3 years ago
11

Suppose that 30% of all packages from Amazon are delivered by UPS. 15% of the packages that are delivered by UPS weighs 2 lbs or

more. Also, 8% of the packages that are not delivered by UPS weighs less than 2 lbs. a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more
Business
1 answer:
tia_tia [17]3 years ago
4 0

Answer:

probability  = 0.05761

Explanation:

given data

P(X) = 30% = 0.30

P(Y | X) = 15% = 0.15

P( Y' | X') = 8% = 0.08

here X is package is delivered  

and Y is weight 2 lbs or more

solution

here we can say that P(X and Y) is express as

P(X and Y) = P(Y|X) × P(X)   .............1

put here value and we get

P(X and Y) =  0.15 × 0.30

P(X and Y) =  0.045

so probability of package is delivered of weighs 2 lbs or more P (Y) is

P (Y) = P(Y|X) × P(X) + P(Y|X') × P(X')  ............2

put here value we get

P (Y) = 0.15 × 0.30  + 0.8 × 0.92

P (Y) =  0.781

so required probability is = \frac{P(X\ and\ Y) }{P(Y)}    

probability  = \frac{0.045}{0.781}  

probability  = 0.05761

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