Question

For parts B & C: Graphical depictions may help but are not required. Circle and label final answer values. Answer to four decimal places when solutions come from the Standard Normal Table. SHOW WORK. ( B. Standardizing a Normally Distributed Random Variable. 1. X~N(100, 400). Solve for P(X>145). 2. X~N(1,000; 62,500). Solve for P(800<x<1,100). 3. X~N(50, 64). What value of X is such that only 8% of values are below it?

Answer 1

solution 20 D Here mean(M)= 100, 0 = 40o, o = Suoo = 20 we know that 2= *-4 P(x>145) = P(2> 145-100)=P(2> 2.25 =1-P (222.25 = 1-0-9878 -10-0122 2) Here M=1000, 2= 62500 = 250 for x=800, 2= 800-4000--0-8 250 for d=1100, 2-110 por a=1100 - 1100-1000 = 0.4 250 7 P(800 LA L 1100)=P(-0-8€ 220.4) =P(2204)-P(22-0-8) = 0.6554-0-2119=1o. uu35 3) here "=50, 2=64, 6=8 ut a be the value at 8% below P(x La)= 0.08 = P( 22a-5)=0.08 - from 2-tables, P (32-1.405) =0.08 @ from 6 s o a-5o = -1.405 a=38-76 38-76 is the value at 8% below-