Suppose that the New England Colonials baseball team is equally likely to win any particular game as not to win it. Suppose also that we choose a random sample of 20 Colonials games. Answer the following: Estimate the number of games in the sample that the Colonials win by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
Suppose that the New England Colonials baseball team is equally likely to win any particular game as not to win it. Suppose also that we choose a random sample of 20 Colonials games.
Answer the following:
Estimate the number of games in the sample that the Colonials win by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
| Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places. |
Solution :
Given : n= 20
Let, X : No. of games win by New England Colonials baseball team .
Let , p = probability of winning a game = 0.5
Here X B ( n= 20 , p =0.5 )
1) Expected value is given by ,
E ( X ) = n p
= 20 0.5
= 10
Answer : No. of games in the sample that the Colonials win are 10.
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