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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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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