SOLUTION: Let X ∼ N(12, 5). Find the value of x0 such that (a) P(X > x0) = 0.05 (b) P(X < x0) = 0.98 (c) P(X < x0) = 0.20 (d) P(X > x0) = 0.90 Thank you :)

Algebra ->  Probability-and-statistics -> SOLUTION: Let X ∼ N(12, 5). Find the value of x0 such that (a) P(X > x0) = 0.05 (b) P(X < x0) = 0.98 (c) P(X < x0) = 0.20 (d) P(X > x0) = 0.90 Thank you :)       Log On


   

Question 1177764: Let X ∼ N(12, 5). Find the value of x0 such that
(a) P(X > x0) = 0.05
(b) P(X < x0) = 0.98
(c) P(X < x0) = 0.20
(d) P(X > x0) = 0.90
Thank you :)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Normal Distribution: N(12, 5) = N(μ , σ ^2)  μ  = 10   σ  = √5
Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus
Using invNorm function:
(a) P(X > x0) = 0.05   √5(1.645) + 12 = x0 = 15.68  give answer as directed
(b) P(X < x0) = 0.98   √5(2.0537) + 12 = x0 = 
(c) P(X < x0) = 0.20   √5(-.8416) + 12 = x0 = 
(d) P(X > x0) = 0.90   √5(-1.2815) + 12 = x0 = 
will let You finish Up here.
Wish You the Best in your Studies.