5 A given game is played 10 times with the following results

5) A given game is played 10 times with the following results

W, L, L, L, L, W, L, W, L, L

a. Estimate the probability of wining (W) in this game.

b. Estimate the standard error of your estimate.

Solution

a)

You won it 3 of 10 times. Thus,

P(W) = 3/10 = 0.3 [ANSWER]

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b)

Here,          
n =    10      
p =    0.3      
          
s = standard deviation = sqrt(p(1-p)/n) =    0.144913767   [ANSWER]