You are designing a road system leading to a city. There are 9 lights on the road and the probability that a light is red is .3. Assume that the probability that one light is red has nothing to do with any of the other lights being red (binomial). (a) What is the probability that 4 of the lights are red? Show by hand (b) Consider that you are required to design another road leading to the city. This road has 8 lights. What must the probability of a red light be on this road so that neither road would be preferred over the other on the basis of expected number of red lights? (c) Which road has more variability in the number of red lights
You are designing a road system leading to a city. There are 9 lights on the road and the probability that a light is red is .3. Assume that the probability that one light is red has nothing to do with any of the other lights being red (binomial). (a) What is the probability that 4 of the lights are red? Show by hand (b) Consider that you are required to design another road leading to the city. This road has 8 lights. What must the probability of a red light be on this road so that neither road would be preferred over the other on the basis of expected number of red lights? (c) Which road has more variability in the number of red lights
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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You are designing a road system leading to a city. There are 9 lights on the road and the
light is red is .3. Assume that the probability that one light is red has nothing to do with any of the other lights
being red (binomial).
(a) What is the probability that 4 of the lights are red? Show by hand
(b) Consider that you are required to design another road leading to the city. This road has 8 lights. What
must the probability of a red light be on this road so that neither road would be preferred over the other
on the basis of expected number of red lights?
(c) Which road has more variability in the number of red lights?
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