Question

Trudy decided to record the temperature every morning when she woke up. Temperature reading (°C) Number of temperature readings 12 2 15 2 33 3 34 3 X is the temperature that a randomly chosen temperature reading was. What is the expected value of X? Wrie your answer as a decimal.

Answer 1

The expected value of X is 25.5°C.

Step-by-step explanation:

First, calculate the total number of temperature readings.

`\begin{gathered} \text{Total}=2+2+3+3 \\ =10 \end{gathered}`

Next, we calculate the expected temperature.

`\begin{gathered} \text{Expected Value=}\sum XP(X) \\ =(12*(2)/(10))+(15*(2)/(10))+(33*(3)/(10))+(34*(3)/(10)) \\ =2.4+3+9.9+10.2 \\ =25.5 \end{gathered}`

The expected value of X is 25.5°C.