Your pocket contains a random number N of coins, where N follows the Poisson distribution with parameter d. All the coins are identical and weighted so that the probability of landing on head is p. Call X the random variable giving the number of heads obtained after tossing all the coins. Show that X is distributed as a Poisson random variable with parameter Xp.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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2. Your pocket contains a random number N of coins, where N follows the Poisson
distribution with parameter A. All the coins are identical and weighted so that the
probability of landing on head is p. Call X the random variable giving the number
of heads obtained after tossing all the coins. Show that X is distributed as a Poisson
random variable with parameter Xp.
Transcribed Image Text:2. Your pocket contains a random number N of coins, where N follows the Poisson distribution with parameter A. All the coins are identical and weighted so that the probability of landing on head is p. Call X the random variable giving the number of heads obtained after tossing all the coins. Show that X is distributed as a Poisson random variable with parameter Xp.
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