Could somebody please write a MATLAB function for this problem...I will rate your post if done correctly!

PS... (=1.6) since is was cut off

Road Traffic Density Function randomO produces a number a uniform probability distribution in the range [0.0, 1.0). This function is suitable for simulating random events if each outcome has an equal prob- ability of occurring. However, in many events, the probability of occur- rence is not equal for every event, and a uniform probability distribution 5.10 with is not suitable for simulating such events. For example, when traffic engineers studied the number of cars pass- ing a given location in a time interval of length t, they discovered that the probability of k cars passing during the interval is given by the equation Plk, 1)-e-Arar (21) k! for 1 29, > 0, and k-0, 1,2, (5-10) This probability distribution is known as the Poisson distribution; it occurs in many applications in science and engineering. For example, the number of calls k to a telephone switchboard in time interval, the number of bac- teria k in a specified volumet of liquid, and the number of failures k of a complicated system in time interval all have Poisson distributions. Write a function to evaluate the Poisson distribution for any k, t, and 2. Test your function by calculating the probability of 0, 1,2,....5 cars passing a particular point on a highway in 1 minute, given that A is 1.6 per minute for that highway. Plot the Poisson distribution for-1 and