Hugo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most 444 packs. Suppose that each pack has probability 0.20.20, point, 2 of containing the card Hugo is hoping for. Let the random variable �XX be the number of packs of cards Hugo buys. Here is the probability distribution for �XX: �=# of packsX=# of packsX, equals, \#, start text, space, o, f, space, p, a, c, k, s, end text 111 222 333 444 �(�)P(X)P, left parenthesis, X, right parenthesis 0.20.20, point, 2 0.160.160, point, 16 0.1280.1280, point, 128 0.5120.5120, point, 512 Find the indicated probability. �(�≥2)=P(X≥2)=P, left parenthesis, X, is greater than or equal to, 2, right parenthesis, equals

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Hugo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most 444 packs. Suppose that each pack has probability 0.20.20, point, 2 of containing the card Hugo is hoping for.
Let the random variable �XX be the number of packs of cards Hugo buys. Here is the probability distribution for �XX:
�=# of packsX=# of packsX, equals, \#, start text, space, o, f, space, p, a, c, k, s, end text 111 222 333 444
�(�)P(X)P, left parenthesis, X, right parenthesis 0.20.20, point, 2 0.160.160, point, 16 0.1280.1280, point, 128 0.5120.5120, point, 512
Find the indicated probability.
�(�≥2)=P(X≥2)=P, left parenthesis, X, is greater than or equal to, 2, right parenthesis, equals 
 
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