[Step-by-Step] [5+5 = 10 pts] The temperature Y at which a thermostatically controlled switch turns on has probability density function given by f(y)=1/2,


Question: [5+5 = 10 pts]

The temperature Y at which a thermostatically controlled switch turns on has probability density function given by

\[\begin{aligned} & f(y)=1/2,\text{ 59}\le \text{y}\le \text{6}1 \\ & \text{ 0, elsewhere}\text{. } \\ \end{aligned}\]
  1. Find E(Y).
  2. Find V(Y).

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