what is the mean length of time, in minutes, of the dance lessons?\n|minutes, x|probability…
what is the mean length of time, in minutes, of the dance lessons?\n|minutes, x|probability, p(x)|\n|----|----|\n|25|0.1|\n|30|0.6|\n|35|0|\n|40|0.2|\n|55|0.1|\nbrazilian samba dance lessons\ntype the number in the box.\nminutes
Answer
Explanation:
Step1: Recall mean formula
The formula for the mean $\mu$ of a discrete - probability distribution is $\mu=\sum_{i}x_{i}P(x_{i})$.
Step2: Calculate product for each pair
For $x = 25$ and $P(x)=0.1$, the product is $25\times0.1 = 2.5$. For $x = 30$ and $P(x)=0.6$, the product is $30\times0.6=18$. For $x = 35$ and $P(x)=0$, the product is $35\times0 = 0$. For $x = 40$ and $P(x)=0.2$, the product is $40\times0.2 = 8$. For $x = 55$ and $P(x)=0.1$, the product is $55\times0.1=5.5$.
Step3: Sum up the products
$\mu=2.5 + 18+0 + 8+5.5=34$.
Answer:
34