Question: Problem 10Use a double integral in polar coordinates to verify that the standard normal distribution, whose probability density function (pdf)f is-+f(x)dx=1-+-+e-x2+y22dxdy=(-+e-x22)2f(x)=122e-x22,-is a indeed a pdf,

Problem 10Use a double integral in polar coordinates to verify that the standard normal distribution, whose probability density function (pdf)f is-+f(x)dx=1-+-+e-x2+y22dxdy=(-+e-x22)2f(x)=122e-x22,-is a indeed a pdf, that is,-+f(x)dx=1Start by showing that-+-+e-x2+y22dxdy=(-+e-x22)2

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