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assume that a randomly selected subject is given a bone density test. those test

ID: 3228345 • Letter: A

Question

assume that a randomly selected subject is given a bone density test. those test scores are normally distributed with a mean of 0 and a standard deviation of 1. find the probability that a given score is less than -0.68 Quiz: Unit 6: Quiz This Quiz: 20 pts possible 4 of 10 This Question: 2 pts Assume readngs on thermometers are normaly distributed with a mean ofo c and a standard deviaton of100 c Find the probability a randomy selected termometer reads between -190 and -023 and draw a sketch of the region Seetch the region choose the correct graph below. The probablyis (Round totou decima paces as needed click to select your answertel

Explanation / Answer

1. Correct sketch is (b)

REASON:

Given:

mean = 0

SD = 1

We require the area between Z = - 1.99 and Z = - 0.23.

Since both the Z values are negative, they lieof LHS of mid value.

Area between them is the shared area between the two vertical lines at Z = - 1.99 and Z = - 0.23.

2. To find P(-1.99 < Z < - 0.23):

From the Table of Negative Z scores, corresponding to Z = - 1.99, area = 0.4767.

Corresponding to Z = - 0.23, area = 0.0910

So, the probability is 0.4767 - 0.0910 = 0.3857