Question 764122
We consult the normal distribution z-table for the z-value that gives a probability of .35 - the corresponding z-value is 1.03.
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The sample mean is the mean of the normal distribution, however, the sample standard deviation is equal to the standard deviation of the normal distribution divided by the square root of n (25).  So we have
sample standard deviation = 10 / sqrt(25) = 2
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now we want 1.03 = (x - 100) / 2
x-100 = 2.06
x = 102.06
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we have p(x < 102.06) = .35, so
p(x > 102.06) = 1 - p(x < 102.06) = (1 - .35) = .65
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