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(a) If 8 men are randomly selected for a study of traffic signal perceptions, find the probability that between 2 and 4 inclusive of them have this type of color blindness. (b) In a group of 110 men, find the mean number that are color blind. (c) In a group of 110 men, find the standard deviation of the number that are color blind.

(a) If 8 men are randomly selected for a study of traffic signal perceptions, find the probability that between 2 and 4 inclusive of them have this type of color blindness. (b) In a group of 110 men, find the mean number that are color blind. (c) In a group of 110 men, find the standard deviation of the number that are color blind.

MATLAB: An Introduction with Applications
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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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 8 men are randomly selected for a study of traffic signal perceptions, find the probability that between 2 and 4 inclusive of them have this type of color blindness. (b) In a group of 110 men, find the mean number that are color blind. (c) In a group of 110 men, find the standard deviation of the number that are color blind. (d) Suppose that a group of 110 men are randomly selected, and 14 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?
Transcribed Image Text: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 8 men are randomly selected for a study of traffic signal perceptions, find the probability that between 2 and 4 inclusive of them have this type of color blindness. (b) In a group of 110 men, find the mean number that are color blind. (c) In a group of 110 men, find the standard deviation of the number that are color blind. (d) Suppose that a group of 110 men are randomly selected, and 14 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?
(A) No, because 14 is not a lot. (B) Yes, because 14 out of 110 is 12.73%, which is a higher percentage than expected (C) Yes, because 14 is a lot. (D) No, because 14 is less than 19. (E) No, because 14 out of 110 is 12.73%, which is not much higher than expected. (F) Yes, because 14 is greater than 13. (G) No, because 14 is less than 15.9.
Transcribed Image Text:(A) No, because 14 is not a lot. (B) Yes, because 14 out of 110 is 12.73%, which is a higher percentage than expected (C) Yes, because 14 is a lot. (D) No, because 14 is less than 19. (E) No, because 14 out of 110 is 12.73%, which is not much higher than expected. (F) Yes, because 14 is greater than 13. (G) No, because 14 is less than 15.9.
Expert Solution
Step 1: Mentioning given information

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.

Here use binomial distribution. 

  • finite number of sample are there.
  • There are two outcomes success and failure.
  • Probability of success remains constant for each sample.
  • Each sample is independent from each other. 

AS PER POLICY I HAVE CALCULATED 3 SUBPARTS PLZ REPOST FOR REMAINING PARTS. 

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