Using a calculator or computer sketch graphs of the density

Question

Question: (a) Using a calculator or computer, sketch graphs of the density function of the normal distribution

p(x) = (1/(σ√2Π))e^{-(x - μ)2/(2σ2)}

(i) For fixed μ (say μ = 5) and carying σ (say σ = 1, 2, 3),

(ii) For varying μ (say, μ = 4, 5, 6) and fixed σ (say, σ = 1),

(b) Explain how the graphs confirm that μ is the mean of the distribution and that σ is a measure of how closely the data is clustered around the mean.