In: Statistics and Probability
Solution :
Given that ,
mean = = 181
variance = 2 = 45
standard deviation = = 45
n = 140
= 81 and
= / n = 45 / 140
P( < 82) = P(( - ) / < (82 - 81 / 45 / 140 ) = P(z < 1.7638)
Using standard normal table,
P( < 82) = 0.9611