Question

In: Statistics and Probability

Generate 200 random numbers using each of the following continuous distributions and plot the histograms (a)...

Generate 200 random numbers using each of the following continuous distributions and plot the histograms

(a) Uniform (use A = 3 and B = 7)

(b) Exponential (use population mean = 0.2)

(c) Gamma (use parameters 3 and 2)

(d) Normal (use µ = 2 and σ = 5)

Attach the histogram plots and reflect on what you observe. Hint: Use RAND() to generate uniform random numbers and use inverse CDF to generate random numbers for each distribution.

Expert Solution

Table is generated using Excel formula

For Uniform distribution : Rand()*(B-A) + A

For Exponential distribution : -1*Average(Rand()) * ln(1-rand())

For Gamma distribution : Gamma.inv(rand(),alpha,beta)

For normal distribution : norm.inv(rand(),mean,sd)

a) Histogram of a uniform distribution :

b) Histogram of a exponential distribution :

c) Histogram of a Gamma distribution :

d) Histogram of a normal distribution :

Data table was deleted due to answer size limits : data was generated using the above formulas in excel

orchestra answered 2 years ago

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