Suppose that A ∼ N(µ = 3, σ = 5), B ∼ N(µ = 2, σ = 4), and C ∼ Exp(λ = 1/6) are independent RVs. Find the distribution of the following RV expressions and state whether the distribution is exactly or approximately equal to your claim.

Arefrigeration system at your company uses temperature sensors fixed to read celsius (°c) values, but the system operators in your control room understand only the fahrenheit scale. you have been asked to make a fahrenheit (°f) label for the high temperature alarm, which is set to ring whenever the system temperature rises above –10°c. what fahrenheit value should you write on the label?