Consider the following information on the expected return for companies X and Y$.$

Economy Probability X Y

Boom $0\mathrm{.}2229\%12\%$

Neutral $0\mathrm{.}5412\%24\%$

Poor $0\mathrm{.}2430\%7\%$

a$.$ Calculate the expected value and the standard deviation of returns for companies X and Y$.($Round intermediate calculations to at least $4$ decimal places. Round your final answers to $2$ decimal places.$)$

b$.$ Calculate the correlation coefficient if the covariance between X and Y is $89.($Round your answer to $4$ decimal places.$)$