07 Jan QuestionThe probability of
MATH399 Applied Managerial Statistics
Week 4 Assignment Geometric Distribution
QuestionYou purchase boxes of cereal until you obtain one with the collector’s toy you want. If, on average, you get the toy you want in every 11th cereal box, what is the probability of getting the toy you want in any given cereal box? (Round your answer to three decimals if necessary.)
QuestionA weighted die has probability 0.126 of landing on a 6. If you roll the die until you get a 6 for the first time, what is the expected number of rolls it will take?
QuestionA weighted coin has a 0.46 probability of landing on heads. What is the probability that it takes 5 flips for the first head to occur?
• Round the final answer to three decimal places.
QuestionA basketball player has a 0.462 probability of making a three-point shot. What is the probability that it takes the player 2 tries to make a three-point shot? (Round your answer to three decimals if necessary.)
QuestionA weighted die has probability 0.176 of landing on a 6. If you roll the die until you get a 6 for the first time, what is the expected number of rolls it will take?
QuestionA basketball player has a 0.604 probability of making a three-point shot. What is the probability that it takes the player 5 tries to make a three-point shot?
• Round your answer to three decimals.
QuestionThe probability of buying a box of cereal with a winning coupon is 0.171. If you buy boxes of this cereal until you get the winning coupon for the first time, what is the expected number of purchases it will take? Round your answer to the nearest whole number.
QuestionA marksman has a probability of 0.624 for hitting a certain long range target. What is the probability that it takes 4 shots for the marksman to hit the long range target?
• Round your answer to three decimals.
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