Standard Normal Use a table or technology to answer each question. Include an appropriately labeled sketch of the Normal curve for each part. Shade the appropriate region. a. Find the probability that a z -score will be 1.76 or less. b. Find the probability that a z -score will be 1.76 or more. c. Find the probability that a z -score will be between − 1.3 and − 1.03.
Standard Normal Use a table or technology to answer each question. Include an appropriately labeled sketch of the Normal curve for each part. Shade the appropriate region. a. Find the probability that a z -score will be 1.76 or less. b. Find the probability that a z -score will be 1.76 or more. c. Find the probability that a z -score will be between − 1.3 and − 1.03.
Solution Summary: The author explains how to calculate the probability of a zscore being 1.76 or less using the standard normal table or technology.
Standard Normal Use a table or technology to answer each question. Include an appropriately labeled sketch of the Normal curve for each part. Shade the appropriate region.
a. Find the probability that a z-score will be 1.76 or less.
b. Find the probability that a z-score will be 1.76 or more.
c. Find the probability that a z-score will be between
−
1.3
and
−
1.03.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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Part (b)
Draw a scatter plot of the ordered pairs.
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Life
Expectancy
Life
Expectancy
80
70
600
50
40
30
20
10
Year of
1950
1970 1990
2010 Birth
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Life
Expectancy
Part (c)
800
70
60
50
40
30
20
10
1950
1970 1990
W
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$
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Year of
2010 Birth
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80
70
60
50
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10
Year of
1950 1970 1990
2010 Birth
Life
Expectancy
Ox
800
70
60
50
40
30
20
10
Year of
1950 1970 1990 2010 Birth
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P.B.
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University Calculus: Early Transcendentals (4th Edition)
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