Question: A European standard value for a low-emission window glazing uses 0.59 as the proportion of solar energy that enters a room. Suppose that the distribution

A European standard value for a low-emission window glazing uses 0.59 as the proportion of solar energy that enters a room. Suppose that the distribution of the proportion of solar energy that enters a room is a beta random variable.

(a) Calculate the mode, mean, and variance of the distribution for α = 3 and β =1 4 . .

(b) Calculate the mode, mean, and variance of the distribution for α = 10 and β = 6.25.

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