MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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what is areas under normal curve and its application 

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4. Find the area of the indicated region under the standard normal curve.
-1.13 0
2.03
a. 0.0212
b. 0.8489
c. 0.1504
d. 0.1292
5. Find the area under the standard normal curve to the left of z = 1.5.
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Transcribed Image Text:4. Find the area of the indicated region under the standard normal curve. -1.13 0 2.03 a. 0.0212 b. 0.8489 c. 0.1504 d. 0.1292 5. Find the area under the standard normal curve to the left of z = 1.5.
5. Find the area under the standard normal curve to the left of z = 1.5.
a. 0.0668
b. 0.5199
c. 0.9332
d. 0.7612
6. Use the standard normal distribution to find P(-2.50 < z < 1.50).
a. 0.6167
b. 0.9270
c. 0.8822
d. 0.5496
7. IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual's
IQ score is found to be 110. Find the z-score corresponding to this value.
a. 0.67
b. -1.33
C. -0.67
d. 1.33
8. IQ test scores are normally distributed with a mean of 102 and a standard deviation of 19. An individual's
IQ score is found to be 124. Find the z-score corresponding to this value.
а. -0.86
b. 1.16
c. 0.86
d. -1.16
9. An airline knows from experience that the distribution of the number of suitcases that get lost each week
on a certain route is approximately normal with u = 15.5 and o = 3.6. What is the probability that during a given
week the airline will lose less than 20 suitcases?
a. 0.8944
b. 0.4040
c. 0.3944
d. 0.1056
10. Assume that the heights of American men are normally distributed with a mean of 69.0 inches and a
standard deviation of 2.8 inches. The U.S. Marine Corps requires that men have heights between 64 and 78 inches.
Find the percent of men meeting these height requirements. 62
а. 96.26%
b. 31.12%
c. 99.93%
d. 3.67%
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Transcribed Image Text:5. Find the area under the standard normal curve to the left of z = 1.5. a. 0.0668 b. 0.5199 c. 0.9332 d. 0.7612 6. Use the standard normal distribution to find P(-2.50 < z < 1.50). a. 0.6167 b. 0.9270 c. 0.8822 d. 0.5496 7. IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual's IQ score is found to be 110. Find the z-score corresponding to this value. a. 0.67 b. -1.33 C. -0.67 d. 1.33 8. IQ test scores are normally distributed with a mean of 102 and a standard deviation of 19. An individual's IQ score is found to be 124. Find the z-score corresponding to this value. а. -0.86 b. 1.16 c. 0.86 d. -1.16 9. An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with u = 15.5 and o = 3.6. What is the probability that during a given week the airline will lose less than 20 suitcases? a. 0.8944 b. 0.4040 c. 0.3944 d. 0.1056 10. Assume that the heights of American men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. The U.S. Marine Corps requires that men have heights between 64 and 78 inches. Find the percent of men meeting these height requirements. 62 а. 96.26% b. 31.12% c. 99.93% d. 3.67%
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