Statistics question! help!!
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Statistics question! help!!

[From: ] [author: ] [Date: 12-01-13] [Hit: ]
87)^14 * (0.13)= 0.756 to 3 d.p.......
Leo hits 87% of his free throws, making him the basketball team's best free throw shooter. If in a game Leo shoots 15 free throws, what is the probability that Leo
a)hits at least 13 free throws
b) hits between 12 and 14.

Please explain how you got your answer. thanks :)

-
P(x ≥ 13) = P(x=13) + P(x=14) + P(x=15)
= 15C13 * (0.87)^13 * (0.13)^2 + 15C14 * (0.87)^14 * (0.13) + 15C15 * (0.87)^15 * (0.13)^0
= 0.692 to 3 d.p.

P( 12 ≤ x ≤ 14) = P(x=12) + P(x=13) + P(x=14)
= 15C12 * (0.87)^12 * (0.13)^3 + 15C13 * (0.87)^13 * (0.13)^2 + 15C14 * (0.87)^14 * (0.13)
= 0.756 to 3 d.p.

use binomial for this question
1
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