Question 965988
a) P = 0.526 and Q = 1 - 0.526 = 0.474, then
mean = 0.526 and std dev = square root ( (PQ) / n ) where n is same size
std dev = square root ( (0.526*0.474) / 510 ) = 0.022110418
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mean = 0.526
std dev = 0.022110418
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b) calculate the z-score value
z-score = (X - mean) / std dev = (0.497 - 0.526) / 0.022110418 = −1.311598898 approx -1.31
consult table of z-values for the probability associated with our z-score
Probability ( X < 0.497 ) = 0.0951