a. Construct an empirical discrete probability distribution for the player score

Question

a. Construct an empirical discrete probability distribution for the player scores on the twelfth hole. Round probability to 4 decimals. Score (x) Frquency Probability f(x) .0090 .1287 211 .4763 57 3115 27 Total 443 b. A par is the score that a good golfer is expected to get for the hole. For hole number 12, par is four What is the probability of a player scoring less than or equal to par on hole number 12 (to 2 decimals)? 14 c. What is the expected score for hole number 12 (to 3 decimals)? 5.291 d. What is the variance for hole number 12 (to 4 decimals)? .0298 e. What is the standard deviation for hole number 12 (to 4 decimals)? 1893

Explanation / Answer

here please revert if there are other score frequency is available before x =3.

here mean E(X) =5.291

d) variance =E(X2)-(E(X))2 =28.8262-5.29122 =0.8294

e) and std deviation =(0.8294)1/2 =0.9107

please revert

x frequency probability(P(x) xP(x) x^2P(x) 3 4 0.0090 0.0271 0.0813 4 57 0.1287 0.5147 2.0587 5 211 0.4763 2.3815 11.9074 6 138 0.3115 1.8691 11.2144 7 27 0.0609 0.4266 2.9865 8 4 0.0090 0.0722 0.5779 total 443 443 5.2912 28.8262

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