IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X IQ of an individual. (a) Find the z-score for an IQ of 116, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 116. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z- score. Use your z-score from part (a), rounded to one decimal place). Shade: (Left of a value Click and drag the arrows to adjust the values. -4 -3 -2 -1 3 4. -1.5 2.
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X IQ of an individual. (a) Find the z-score for an IQ of 116, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 116. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z- score. Use your z-score from part (a), rounded to one decimal place). Shade: (Left of a value Click and drag the arrows to adjust the values. -4 -3 -2 -1 3 4. -1.5 2.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one
individual is randomly chosen. Let X = IQ of an individual.
(a) Find the z-score for an lQ of 116, rounded to three decimal places.
(b) Find the probability that the person has an IQ greater than 116.
(c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z-
score. Use your z-score from part (a), rounded to one decimal place).
Shade: (Left of a value
v. Click and drag the arrows to adjust the values.
4
-1.5
(d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ
needed to qualify for the MENSA organization.
(e) Sketch the graph, and write the probability statement.
Edit -
Insert
Formats
BIUX,
A -
A
<>
三, 三 @ ス区
囲。
(f) The middle 50% of IQs fall between what two values?
Transcribed Image Text:(g) Sketch the graph and write the probability statement.
Edit -
Insert
Formats
BIU X, x
A
<>
E- E- E E
P» SPAN
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