The value of E(Y) and Var(Y) are 50 and 178/5 respectively
Given the formula for temperature conversion expressed as:
Y = (9/5)*X + 32
where:
X stands for a temperature in degrees Celsius,
Y the same temperature in degrees
If E(X) = 10, then;
Y = (9/5) * 10 + 32
Y = (9*2) + 32
Y = 18 + 32
Y = 50
Hence E(Y) = 50
If Var(X) = 2
Y = (9/5) * 2 + 32
Y = 18/5 + 32
Y = 178/5
Hence Var(Y) = 50
The value of E(Y) and Var(Y) are 50 and 178/5 respectively
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