Question

homework: section 4.2
score: 12/15 answered: 12/15
question 13
find the mean of this probability distribution. round your answer to one decimal place.

Explanation:

Step1: Recall mean formula

The mean $\mu$ of a probability - distribution is given by $\mu=\sum_{x}x\cdot P(x)$.

Step2: Calculate product for $x = 0$

When $x = 0$ and $P(0)=0.15$, the product is $0\times0.15 = 0$.

Step3: Calculate product for $x = 1$

When $x = 1$ and $P(1)=0.2$, the product is $1\times0.2=0.2$.

Step4: Calculate product for $x = 2$

When $x = 2$ and $P(2)=0.1$, the product is $2\times0.1 = 0.2$.

Step5: Calculate product for $x = 3$

When $x = 3$ and $P(3)=0.55$, the product is $3\times0.55 = 1.65$.

Step6: Sum up the products

$\mu=0 + 0.2+0.2 + 1.65=2.05$.

Step7: Round the result

Rounding $2.05$ to one - decimal place gives $2.1$.

Answer:

$2.1$