https Math 25 THS eign austin 1120171247 PM Homework: Chapter 6 Review Homework
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https Math 25 THS eign austin 1120171247 PM Homework: Chapter 6 Review Homework Score: 0 of 1 pt Save 5 of 22 (5 complete) HW Score: 909%, 2 of 22 pt X 6.1.40-E E Question Help test scores are normally dstributed with a mean of 0 and a standard deviation of t Oraw a end as, tortaues separan g the lowest 18% and highest 16% nican levels nat a eto lowortehn Assume that a randomly selected subject s given a bone density that a randomly selected sub ec sgrven ab graph and find the bone density respectively can be Sketch the region Choose the cormect graph below The bone densty scoreyare Use a comma to separae anssers as needed Round to two decimal places as needed )Explanation / Answer
Graph: Option C
the PDF of normal distribution is = 1/ * 2 * e ^ -(x-u)^2/ 2^2
standard normal distribution is a normal distribution with a,
mean of 0,
standard deviation of 1
equation of the normal curve is ( Z )= x - u / sd ~ N(0,1)
mean ( u ) = 0
standard Deviation ( sd )= 1
LOWER/BELOW
P ( Z < x ) = 0.18
Value of z to the cumulative probability of 0.18 from normal table is -0.915365
P( x-u/s.d < x - 0/1 ) = 0.18
That is, ( x - 0/1 ) = -0.915365
--> x = -0.915365 * 1 + 0 = -0.9154
UPPER/TOP
P ( Z > x ) = 0.18
Value of z to the cumulative probability of 0.18 from normal table is 0.915365
P( x-u / (s.d) > x - 0/1) = 0.18
That is, ( x - 0/1) = 0.915365
--> x = 0.915365 * 1+0 = 0.9154
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