Consider the following traffic flow problem: There is a roundabout in your area where traffic is entering and exiting from North, South, East and West. Traffic flows clockwise around the roundabout. The traffic flow in and out of each direction in vehicles per hour are the following: North: 50 entering and 60 exiting South: 75 entering and 80 exiting East: 55 entering and 40 exiting West: 45 entering and 30 exiting. To avoid congestion “flow in must equal flow out”. (a) Draw a diagram to represent the above traffic flow problem. (b) Model the above problem as a system of equations. (c) Write down the augmented matrix for the above system of equations
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!
5. Consider the following traffic flow problem:
There is a roundabout in your area where traffic is entering and exiting from North,
South, East and West. Traffic flows clockwise around the roundabout. The traffic flow
in and out of each direction in vehicles per hour are the following:
North: 50 entering and 60 exiting
South: 75 entering and 80 exiting
East: 55 entering and 40 exiting
West: 45 entering and 30 exiting.
To avoid congestion “flow in must equal flow out”.
(a) Draw a diagram to represent the above traffic flow problem.
(b) Model the above problem as a system of equations.
(c) Write down the augmented matrix for the above system of equations
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