Problem #5: Nine percent of men and 0.25% of women cannot distinguish between the colors red and green. This is the type of color blindness that causes problems with traffic signals. (a) If 13 men are randomly selected for a study of traffic signal perceptions, find the probability that at least 3 of them have this type of color blindness. (b) In a group of 290 men, find the mean number that are color blind. (c) In a group of 290 men, find the standard deviation of the number that are color blind. (d) Suppose that a group of 290 men are randomly selected, and 34 of them are color blind. Is this a significantly high number that would perhaps suggest that the given percentage of men that are color blind (i.e., 9%) is not correct?
Problem #5: Nine percent of men and 0.25% of women cannot distinguish between the colors red and green. This is the type of color blindness that causes problems with traffic signals. (a) If 13 men are randomly selected for a study of traffic signal perceptions, find the probability that at least 3 of them have this type of color blindness. (b) In a group of 290 men, find the mean number that are color blind. (c) In a group of 290 men, find the standard deviation of the number that are color blind. (d) Suppose that a group of 290 men are randomly selected, and 34 of them are color blind. Is this a significantly high number that would perhaps suggest that the given percentage of men that are color blind (i.e., 9%) is not correct?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Problem #5: Nine percent of men and 0.25% of women cannot distinguish between the
colors red and green. This is the type of color blindness that causes problems
with traffic signals.
(a) If 13 men are randomly selected for a study of traffic signal perceptions,
find the probability that at least 3 of them have this type of color
blindness.
(b) In a group of 290 men, find the mean number that are color blind.
(c) In a group of 290 men, find the standard deviation of the number that are
color blind.
(d) Suppose that a group of 290 men are randomly selected, and 34 of them
are color blind. Is this a significantly high number that would perhaps
suggest that the given percentage of men that are color blind (i.e., 9%) is
not correct?
Problem #5(a): 0.0812
answer correct to 4 decimals
Problem #5(b): 26.1
answer correct to 2 decimals
Problem #5(c): 4.87
answer correct to 2 decimals
(A) Yes, because 34 is a lot. (B) No, because 34 is less than 41.
(C) Yes, because 34 out of 290 is 11.72%, which is a higher percentage than expected
(D) No, because 34 out of 290 is 11.72%, which is not much higher than expected.
(E) No, because 34 is less than 35.85. (F) No, because 34 is not a lot.
(G) Yes, because 34 is greater than 31.
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