Question

Problem 8 (10% total; 2% per part) The mean yearly income for electrical engineers in the United States is $73,794 and the standard deviation is $2,500. If yearly income for electrical engineers is modelled using a normally distributed random variable, X, then determine the following using z-score: a) P(X s $75,000) b) P(X> $70,000) c) P($71,495 s X< $76,250) d)o such that P(X< c) = 0.18-18% e)o such that P((X-c) > X or X > (X + c)) = 0.05 = 5%

Answer 1

eng ees etx yeardy ncome for electical en ihcome men-u 드 73/ 794 2

0-731 구ら 3147500 3, 734 ys 9935 red 三..RLFli 49S < Х 4761 2.5의 乚 2S00 2500 due to symm

required-probabl」! ."The a) we find suchthat 2S00 2 2S00 Ig tornan (角4@)we get o:92 C-13794