Write a utility class called RandomDistribution, which contains the following four class m...

Write a utility class called

RandomDistribution,

which contains the following four class methods. You should be able to implement all of these methods with calls to Math class methods and/or calls to one of the

uniform

methods within the

RandomDistribution

class.

a) Write a method called

uniform

that generates a

double

random number from a continuous distribution that is uniform between

double

values

min

and

max.

---

b) Write another (overloaded) method called

uniform

that generates an

int

random number from a discrete distribution that is uniform between

int

values

min

and

max,

including both of these end points.

---

c) Write a method called

triangular

that generates an

int

random number from a symmetrical discrete triangular distribution that goes between

int

values

min

and

max,

including both of these end points. (Hint: Make two calls to the

int

version of the above

uniform

method.)

---

d) Write a method called

exponential

that generates a

double

random number from an exponential distribution having an expected time between random arrival events equal to

averageTimeInterval.

Here is the algorithm:

return ← averageTimeInterval * loge(1.0 – Math.random)