Please show steps and formulas. Also, please define any variables. Thanks.

For the remaining parts, assume you wish to predict whether the random variable Y is 0 or 1 based on the observed value of a Poisson random variable X. C. For a given value of x, the classifier can be written as predict Y to be 1 if P(X=x.ly=1)P(Y=1) > P(X=XlY=0)P(Y=0) otherwise predict Y is 0. Write down the classifier for the special case of X being a Poisson RV by plugging in the pdf of a Poisson random variable with parameter Ai for P(X=xlY=1) and the pdf of a Poisson random variable with parameter do for P(X=xLY=0). | d. Suppose you wish to predict whether a mosquito is a female foul water mosquito or a male western encephalitis mosquito based on the frequency of its wing beat. Suppose the following information was observed from a sample of 60 mosquitos. Number Average wing beat (hertz) female foul water mosquito 31 350 male western encephalitis mosquito 29 550 Use this information and your classifier from part c. to write down expressions for predicting whether a mosquito with a wing beat frequency of 450 hertz is a female foul water mosquito or a male western encephalitis mosquito. e. Try calculating the expressions in part d with a calculator or your favorite programming language to arrive at your prediction (female or male) for the mosquito. Did you get an overflow error? If so, try changing the units from Hz to dHz. Give the two numbers you computed to figure out your prediction and state whether you believe the mosquito is the female or male. For the remaining parts, assume you wish to predict whether the random variable Y is 0 or 1 based on the observed value of a Poisson random variable X. C. For a given value of x, the classifier can be written as predict Y to be 1 if P(X=x.ly=1)P(Y=1) > P(X=XlY=0)P(Y=0) otherwise predict Y is 0. Write down the classifier for the special case of X being a Poisson RV by plugging in the pdf of a Poisson random variable with parameter Ai for P(X=xlY=1) and the pdf of a Poisson random variable with parameter do for P(X=xLY=0). | d. Suppose you wish to predict whether a mosquito is a female foul water mosquito or a male western encephalitis mosquito based on the frequency of its wing beat. Suppose the following information was observed from a sample of 60 mosquitos. Number Average wing beat (hertz) female foul water mosquito 31 350 male western encephalitis mosquito 29 550 Use this information and your classifier from part c. to write down expressions for predicting whether a mosquito with a wing beat frequency of 450 hertz is a female foul water mosquito or a male western encephalitis mosquito. e. Try calculating the expressions in part d with a calculator or your favorite programming language to arrive at your prediction (female or male) for the mosquito. Did you get an overflow error? If so, try changing the units from Hz to dHz. Give the two numbers you computed to figure out your prediction and state whether you believe the mosquito is the female or male