Consider the experiment of Sizemore making a batting appearance. There are fare experimental outcomes: lie is out, he advances to first base, he hits a double, he hits a triple, or he hits a home run....

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Answered Same DayDec 27, 2021

Answer To: Consider the experiment of Sizemore making a batting appearance. There are fare experimental...

David answered on Dec 27 2021
117 Votes
Solution 1:
    X
    Number of occurrences
    f (x)
    0
    452
    452/748 = 0.604
    1
    233
    0.311
    2
    34
    0.045
    3
    5
    0.007
    4
    24
    0.032
    Total
    748
    
Expected value E (x) = ∑x.f (x)
Expected value E (x) =0*0.604 + 1*0.311 + 2*0.045 + 3*0.007 + 4*0.032
Expected value E (x) = 0.550
∑x^2.f(x) = 0^2*0.604 + 1^2*0.311 + 2^2*0.045 + 3^2*0.007 + 4^2*0.032 = 1.066
Standard deviation, σ = √∑x^2.f(x) – (∑x.f(x))^2
Standard deviation, σ = √1.066 – (0.550)^2
Standard deviation, σ = √0.7635
Standard deviation, σ =0.874
The mean or expected value of Grady Sizemore’s probability distribution is greater than the expected value of Sammy Sosa’s probability distribution. The two experiments are: Grady Sizemore makes a batting appearance and Sammy Sosa makes a batting appearance. If two experiments run over and over again, you expect the...
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