Question

the probability distribution below represents the number of toppings per pizza sold at certain pizza restaurant.

x	p(x)
0	0.26
1	0.34
2	0.09
3	0.09
4	0.22

round answers to 2 decimals when appropriate.

find the mean number of toppings sold per pizza.
μ=

find the standard deviation of the number of pizza toppings sold per pizza.
σ=

Explanation:

Step1: Recall mean formula

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

$$
LATEXBLOCK0
$$

Step2: Recall variance formula

The variance $\sigma^{2}=\sum_{i}(x_{i}-\mu)^{2}P(x_{i})$.

$$
LATEXBLOCK1
$$

Step3: Calculate standard deviation

The standard deviation $\sigma=\sqrt{\sigma^{2}}$. So, $\sigma=\sqrt{2.241099}\approx1.50$.

Answer:

$\mu = 1.67$
$\sigma\approx1.50$