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Tom is a very talented football player. His penalty kicks have a success rate of 87.5%...

Tom is a very talented football player. His penalty kicks have a success rate of 87.5%

Calcuate, for 60 kicks, that Tom will miss less than 8 penalty kicks.

1) Use bonimial distribution

2) normal approximation with continuity correction

Explain the solution briefly.

math   Statistics-And-Probability   
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Answer #1

TOPIC : Binomial distribution and approximation of Binomial distribution using Normal distribution.

Expne丛ed .Jedine, χ No.gf penat ty kicks mnissed by Tom, out咯60 kicks taken. Now Pmitin a henaiy uiel) !-p = 1-0, 875-0-125 60-x 0.125) (0.815 we need 60 -X ) (0-125) 、 (0 , 875 10, 5198 Cale wlating, we get) .Here, mg= 60 xo. 815 52-5 we can asume Noymal approximation Binonnal = 6.5625) , we need P (X < 8 tnu Carvtec ton 6.5625 軍(0) -1o-SI (obtained table Wonmal

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