Question

3. (Sec. 4.3, 30) Find the following percentiles for the standard normal distribution using a standard normal table: (a) 50th percentile (b) 89th percentile (c) 1st percentile

Answer 1

ANSWER:

solution : - we know that the standard normal distribution is Here u sool. And also (a) standard nomal distribution which gives 'both 'Percentile A: 0.5 now. we have to search the '015 & 6) 50th volue in percentile of nomal distribution table. so here 0.5 (2) 50th value is 'O: Now, we have to know 2' value the formula of 2 x.de so substitute (4:0, 0:1).

X-7 x=0. (6) slondard normal distribution which gives '89th percentile as -) A: 89 700 A: 0.89] Now asal as have to see the 0.89 0) 8ght' value in percendile of normal diedribution table. So here 0.89 (87 89th value is 1.231 alow apply, 8-1-23 ->(1-23.4-0) x=1.23 (c) standard Nomal distribution, which gives ist. percentile is A / A.o.o

Now we have to search the o.ol (8) pth value In percentile of normal diedribution table So here o.ol (8) th value is '-2141 2= -2:41 Now apply, –9:41.850 :: X2-24)