A pharmaceutical company has developed a new medication to c

A pharmaceutical company has developed a new medication to clear lung fluid build

Given a=1-0.95=0.05, Z(0.025) = 1.96 (from standard normal table)

So n=(Z*s/E)^2

=(1.96*27/10)^2

=28.00526

Take n=29

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mean=150*100=15000

standard deviation = 100*25 =2500

So the probability is

P(X>15500) = P((X-mean)/s >(15500-15000)/2500)

=P(Z>0.2) =0.4207 (from standard normal table)