1.Sonwil Sporting Goods, producer of the world\'s premier tennis balls, imposes
ID: 3352622 • Letter: 1
Question
1.Sonwil Sporting Goods, producer of the world's premier tennis balls, imposes the following quality control criteria on it's product: If the bounce is not correct (either too high or too low), or if it has a flaw in the cover, the ball is rejected. Currently, 12% ofall balls produced bounce too high or too low, and 50% of these balls with the incorrect bounce also have cover flaws. Overall, 10% of all balls produced have cover flaws. Find the probability that a randomly selected tennis ball has: (a) both a cover and a bounce defect; (b)a defect; (c) a bounce defect if it has a cover defect; (d) does not have a bounce defect; (e) is not defective.Explanation / Answer
Answer in detail, with explanation and formulae, Write back in case you don't understand anything:
Lets say we have 100 balls
12 have too high or 2 low balls
6 also have cover flaws
10 have cover flaws in total, so, there are 4 only cover flaw balls
balls that don't have too high/low bounce
a. P( both defects) = P( both cover and bounce defect) = both defects/total balls = 6/100 = .06
b. P(defect) = P( either cover or bounce defect) =
Balls with cover+Balls with bounce - Balls with both/ total balls
= 12+10-6 /100
=.16
c. P( given cover defect has bounce defect) = balls with both/ balls with cover effect
= 6/10 = .06
d. P( doesn't have bounce defect) = total balls - bounce effect/ total balls = (100-12)/100 = .88
e. P( is not defective) = balls with cover defect + balls with bounce defect - balls with both defect/total balls
= 1-P(defect) = 1-.16 = .84
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