The electric (E) and gas (G) energy consumption of a household in a residential subdivision follows a hypothetical joint probability density function as follows:

where e and g are normalized to the respective maximum value for all the houses. Determine the constant c such that fEG(e,g) is a legitimate joint density function. Evaluate the marginal density functions fE

(e) and fG(g). Evaluate the probability that 0

Transcribed Image Text:

JEG (e,g) = c(g+e) for 0