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The Probability That a Basketball Player Will Make a Given 710\frac { 7 } { 10 }

Question 9

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The probability that a basketball player will make a given free throw is 710\frac { 7 } { 10 } . To find the probability that the player makes exactly 8 out of her next 10 free throws, evaluate the term
10C8(710)8(310)2{ } _ { 10 } C _ { 8 } \left( \frac { 7 } { 10 } \right) ^ { 8 } \left( \frac { 3 } { 10 } \right) ^ { 2 } in the expansion of (710+310)10\left( \frac { 7 } { 10 } + \frac { 3 } { 10 } \right) ^ { 10 } . Round to four decimal places.

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