Question

HW Score: 54.527, 2 *5.3.33-T Question Suppose x is a normally distributed random variable with = 44 and 3. Find a value Xo of the random variable x that satisfies the following ustions or statements a. 10% of the values of x are less than Xo b. 80% of the values of x are less than Xo 1% of the values of x are greater than a X=L (Round to two decimal places as needed) Enter your answer in the answer box and then click Check Answer Clear All Exam 2 remaining 2 parts * # AA oon 00 W

Answer 1

M:44 x follows normal distribution with and o=3 2.2 = x= x=64 N60,1) (a) Pl+2 xo) = 0.1 P(x-gly to be ) = 0.1 P(2< xortat) -0.1 .: 40-443-7.28 Xo-44=-1.2863 - Xe : 44 - 28x3 : Ao (6 (b) PCX CXO) = 5o =0.8 P(x - l L to 4) = 0.8 P(Zc Xo-Gue)=0.8 Xo- que = 0.84 Xo-44 = 0.84*} X - 4 + 4x3 = 42: 2

(c) P(x>xo)--= 0.01 P(27 Yorgos) -0.01 ::/-PC2<xoq4) -0.01 P (2<xo - Gle) = 1-001=0.99 . 2.33 Xo-44 3 to-44=2.33×3 Xo=64+2.33×3 Xo = 50.99 - Thumbs up/