Statistics: Find 'a' such that P(x ≥ a) = 0.9904?
Given that the population mean is 132 and the population standard deviation is 26 on a continuous normally distributed scale. Find 'a' such that
P(x ≥ a) = 0.9904; round to two decimal places
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From the normal table, P( z > -2.34 ) = 0.9904
z = (x - μ) / σ
-2.34 = (x-132) /26
x= (-2.34)(26)+132
x = 71.16