this morning, mr. sawyer released the scores from last weeks spelling test. x is the score that a randomly chosen student scored. what is the expected value of x? write your answer as a decimal.

Question

Accepted Answer

# Explanation:
## Step1: Calculate total number of students
Total number of students $n=3 + 1+2 + 3+1=10$
## Step2: Calculate expected value formula $E(X)=\sum_{i}x_ip_i$
Here $x_1 = 56$, $p_1=\frac{3}{10}$; $x_2 = 59$, $p_2=\frac{1}{10}$; $x_3 = 68$, $p_3=\frac{2}{10}$; $x_4 = 96$, $p_4=\frac{3}{10}$; $x_5 = 100$, $p_5=\frac{1}{10}$

$$
\begin{align*}
E(X)&=(56\times\frac{3}{10})+(59\times\frac{1}{10})+(68\times\frac{2}{10})+(96\times\frac{3}{10})+(100\times\frac{1}{10})\
&=\frac{168}{10}+\frac{59}{10}+\frac{136}{10}+\frac{288}{10}+\frac{100}{10}\
&=\frac{168 + 59+136+288+100}{10}\
&=\frac{751}{10}
\end{align*}
$$

# Answer:
$75.1$

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Question

Explanation:

Step1: Calculate total number of students

Step2: Calculate expected value formula \(E(X)=\sum_{i}x_ip_i\)

Answer: