14. A gum ball machine contains 300 grape-flavored balls, 400 cherry flavored ba

Question

14. A gum ball machine contains 300 grape-flavored balls, 400 cherry flavored balls and 500 lemon flavored balls. What is the probability of getting 1 grape ball, 1 cherry ball, and 1 lemon ball if only three balls are removed from the machine? a) 0.0264 b) 0.0531 c) 0.0348 d) 0.0482 15, A recent poll by the American Automobile Club found that 30% ofthose surveyed are worried about aggressive drivers on the road. If 3 people are selected at random what is the probability that all 3 will be worried about aggressive drivers on the road? a) 0.900 b) 0.027 c) 0.081 d) 0.300 16. If one card is drawn from an ordinary deck of cards, what is the probability that the card will be an ace, a king of hearts, or a spade? a) b) d) 17. Give the mean of the following probability distribution. P(z) 0.2 0.1 a) 1.20 b) 1.46 c) 3.15 d) 2.13 0.35 0.05 0.3 18. What is the standard deviation of the following probability distribution? P(z) 0.2 0.05 0.35 0.25 0.15 a) 4.2 b) 4.7 c) 5.4 d) 2.6

Explanation / Answer

14. Since, there are a total of 1200 gumballs
probability of getting grape gumball = 300/1200 = 1/4
probability of getting cherry gumball = 400/1200 = 1/3
probability of getting lemon gumball = 500/1200 = 5/12

No tree is needed since the balls are repaced.
Therefore,
Probability of getting 1 grape, 1 cherry and 1 lemon gumball = 1/4 x 1/3 x 5/12 = 5/144 = 0.0348

OPTION C is correct

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