We can use a random number generator to estimate probabilities that might otherwise be difficult to evaluate. Consider the probability of obtaining four heads on four flips. Generate four separate random experiments of 0s and 1s representing N trials each. (You can do this by generating an Nx4 random array rather than an Nx1 array as in #1.) Now look at the corresponding rows and determine what percentage of the time all four coin flips across a row are heads (all entries equal 1). Show how you do this in MATLAB. Report the percentage with N=10,000 and 100,000, and compare this to the expected percentage.

If an improvement creates no significant change in a product’s performance, then it is a(n) ? a0 design improvement. (there are no answer choices)

Write a car class having two private member variables called tank and speed. write public methods called pumpgas and gofast. the method pumpgas gets an integer for gas that must be pumped. that value needs to be added to tank (no more than 20 gallons). it must return the amount of gas that is purchased ($4 per gallon). the method gofast should increase the speed by 5 each time it is called. write a constructor for the above class that initialized both variables to zero. write a tostring to display both the tank and speed when the car is printed. modify the car class to implement the interface comparable and an interface called carinter having the public methods in carinter. write the main program to create an array of size 5 of type car. create 5 car objects having each location of the array to refer to one of the cars. test the pumpgas, gofast, equals method on the array items. write an enhanced loop to print all the car values (using a tostring written last time).write a generic method to find the minimum of four items. pass int, double, char, string and car objects to test this method.

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