******* Please write the code, I have posted this question before and no code was written.

*******I would like to check the code I have already written with the code you come up with

*******Posted the question twice before and didn't have any code written. I would like to check mine with yours

******** Thank you SO much!!!

Write a Binomial class to implement a Binomial random variable. Private instance variables for the class should include: double P - probability of a success in any one trial. long N - number of independent trials. long X - the number of successes in the N trials.

The class methods should include: appropriate constructor(s). appropriate get and set methods for the instance variables. long randomX() - generates a new random value for X. double mean() - calculates the mean of the random variable [= N*P]. double variance() - calculates the variance of random variable [= N*P*(1-P)]. double probX() - calculates the Binomial probability for the current X value.

Write a program that uses the Binomial class to solve the following problems:

1. For the Binomial distribution defined by P = 0.36 and N = 22: a. Output P and N. b. Generate a random value for X, and then output that value. c. Output the mean of the distribution. d. Output the variance of the distribution

2. For the Binomial distribution defined by P = 0.73 and N = 6, output the probability distribution of X. That is, for each value of X from 0 to 6, show the X-value together with the probability for that value.

Output format should be:

X Pr(X)

0 ...

1 ...

... ...

6 ...

3. For the Binomial distribution defined by P = 0.32 and N = 12: a. Generate 100 random variable values. b. Calculate the average of these generated values [= (X1 + X2 + ... + X100)/100]. c. Calculate the theoretical mean of this probability distribution using the mean() method. d. Compare the values obtained in 3b and 3c. How close are they? Why aren't the values identical?