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Secure | https://www.mathxl.com/Student/PlayerTest.aspx?testid=158901622&centerwinsyes; MA 105-703 Statistics Summer 2017 10 Weeks bruna dealmeida 7/28/17 2:36 PM Quiz: Chapter 6 Quiz Time Remaining: 02:46:06 Submit Quiz This Question: 10 pts 6110 (1 complete) This Quiz: 100 pts possible Assume that a randomly selected subject is given a bone density test. Those test scores are nomally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than0.61 and draw a sketch of the region. Sketch the region. Choose the correct graph below. O A. B. O C. D. 0.61 0 61 0.61 0.61 0.61 The probability is Round to four decimal places as needed) Click to select your answer(s). O Type here to search 2-36 PM 41)) 7/28/2017 ^

Explanation / Answer

(1) Correct option: C

EXPLANATION:

Z = - 0.61.

So, Z is on the LHS of mid value.

Also Probability less than Z is required. So, the area to the left of Z = - 0.61 is required.

So, the shaded area should be between Z = - 0.61 lying on LHS of mid value to left extreme.

(2) To find P(Z < - 0.61):

Area to the left of Z = - 0.61 is the same as 0.5 - area from mid value to Z = - 0.61 on LHS of mid value.

Table of Area Under Standard Norml Curve gives area from mid value to Z = 0.61 as area = 0.2291.

So, P(Z < - 0.61) = 0.5 - 0.2291 = 0.2709.

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