##### Problem: The number of dogs per household in a small town.

label Statistics
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Problem: BASEBALL: The number of games played in the World Series from 1903 to 2009.

Games Played    4       5     6      7     8

Frequency         20      23   23    36   3

(a) Use the frequency distribution to construct a probability distribution.
(b) Graph the probability distribution using a histogram and describe its shape.
(c) Find the mean, variance, and standard deviation of the probability distribution.
(d) Interpret the results in the context of the real life situation.

Mar 25th, 2015

Frequency Distribution

 x p(x) xp x^2*p 4 20/105 80/105 320/105 5 23/105 115/105 575/105 6 23/105 138/105 828/105 7 36/105 252/105 1764/105 8 3/105 24/105 192/105 ∑xp = 609/105 = 5.8 ∑x^2p=3679/105=35.03

Mean = 5.8

Variance = 35.03 - (5.8)^2 = 35.03 - 33.64 = 1.39

S.D = square root of  1.39 = 1.17

Mar 25th, 2015

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Mar 25th, 2015
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Mar 25th, 2015
Oct 17th, 2017
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