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Need step by step answer to Q no. 2,3 and 7.

Please note for Q#3 that only the exponent of e is divided by 2b^2, not the entire numerator as it seems in question.

See attached file for full problem description.

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Please see the attached file.

Since f(x) is a density function ,we have
Thus k/8=1

Mean is given by E(X)= =
= 0.443113
Where Erf(x) is the integral of the Gaussian ...

Solution Summary

Calculation of covariance, marginal probability, expectation, probability density function, log normal distribution. The answers are given with interpretation of results.

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