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

Question

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. Define the random variable as the number of bases that Sizemore advances on the baseball diamond from his batting appearance. Thus, the values of x are
	
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David · Accepted Answer

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,

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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