Example 2: Christine drives the same way to work every single day, and on her usual route she encounters 9 intersections with traffic lights. Assume that there is a 20% chance that any given traffic light she encounters will be red when she arrives at the intersection and that each light works independently from the others. Consider this scenario as you answer the following questions. a) Find the mean and variance for the binomial probability distribution described in the scenario above. Make sure to use proper notation. b) Find the probability that Christine encounters exactly 4 red lights on her way to work. c) Find the probability that Christine encounters anywhere from 2 to 5 red lights on her way to work.

Example 2: Christine drives the same way to work every single day, and on her usual route she encounters 9 intersections with traffic lights. Assume that there is a 20% chance that any given traffic light she encounters will be red when she arrives at the intersection and that each light works independently from the others. Consider this scenario as you answer the following questions. a) Find the mean and variance for the binomial probability distribution described in the scenario above. Make sure to use proper notation. b) Find the probability that Christine encounters exactly 4 red lights on her way to work. c) Find the probability that Christine encounters anywhere from 2 to 5 red lights on her way to work.

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

Example 2: Christine drives the same way to work every single day, and on her usual route she
encounters 9 intersections with traffic lights. Assume that there is a 20% chance that any given
traffic light she encounters will be red when she arrives at the intersection and that each light
works independently from the others. Consider this scenario as you answer the following
questions.
a) Find the mean and variance for the binomial probability distribution described in the
scenario above. Make sure to use proper notation.
b) Find the probability that Christine encounters exactly 4 red lights on her way to work.
c) Find the probability that Christine encounters anywhere from 2 to 5 red lights on her way
to work.

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