y <0 (1 1 point) Let F(x) = { 1 - = -e 504 y0 be the cumulative probability distribution function (CDF) for the

     

y the size (square footage) of a house with respect to the number of toilets. Let X be the number of toilets in the houses with respect to the size (square footage). a) Give the probability distribution function (PDF) for the random variable X. f(x)= f(x)= ;x? ;X ? b) If Y describes the size (square footage) of a house with respect to the number of toilets. How many toilets do you expect in houses with 2049 square feet? (use at least four digits after the decimal if rounding...) c) Plot the pdf of the number of toilets per 2049 square feet then select the graph below that looks closest to correct! Graph 1 Graph 3 0.8 0.6 ZO 0.0 066 0 0.988 1(x) 0.986 0.984 0.982 0 2000 2100 2 3 Number of Toilets 2200 Square footage 2300 5 2400 Graph 2 Graph 4 T(X) 3.5e-05 3.00-05 2.50-05 2.00-05 0.20 0.15 0.10 0.05 2000 2100 2200 Square footage 2 3 Number of Toilets 2300 2400 5 Select the correct graph A. Graph 3 B. Graph 1 C. Graph 4 D. Graph 2 d) Given a house with 3 toilets is at least 2095 square feet, what is the probability it will be at most 2253 square feet? # (use at least four digits after the decimal if rounding...)