5. Each of the following random variables has a Binomial, Geometric, Pascal, Hypergeometric, or Poisson distribution. Identify the distribution, and give its parameters. (a) You draw a hand of 5 cards from a standard 52-card deck. A is the number of aces you draw. (There are 4 aces in the deck.) (b) Bird watchers in a large urban park report an average of 1.5 sightings of a rare bird species per day; B is the number of bird sightings of that rare bird species on one particular day. (c) You receive many emails every day, but 90% of them are junk emails. (Let’s assume that you don’t have a spam filter to catch these junk emails.) Today, you receive 15 emails; J is the number of them that are junk. (d) Each booster pack of the famous card game Sorcery: the Collecting contains one megarare card, chosen uniformly from the 10 mega-rare cards in the set. Your goal is to get a full playset of 4 copies of the mega-rare card Purple Cabbage. You buy and open booster packs one at a time; P is the number of booster packs you will have to open in order to get four copies of Purple Cabbage

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
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5. Each of the following random variables has a Binomial, Geometric, Pascal, Hypergeometric, or Poisson distribution. Identify the distribution, and give its parameters. (a) You draw a hand of 5 cards from a standard 52-card deck. A is the number of aces you draw. (There are 4 aces in the deck.) (b) Bird watchers in a large urban park report an average of 1.5 sightings of a rare bird species per day; B is the number of bird sightings of that rare bird species on one particular day. (c) You receive many emails every day, but 90% of them are junk emails. (Let’s assume that you don’t have a spam filter to catch these junk emails.) Today, you receive 15 emails; J is the number of them that are junk. (d) Each booster pack of the famous card game Sorcery: the Collecting contains one megarare card, chosen uniformly from the 10 mega-rare cards in the set. Your goal is to get a full playset of 4 copies of the mega-rare card Purple Cabbage. You buy and open booster packs one at a time; P is the number of booster packs you will have to open in order to get four copies of Purple Cabbage
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