the brazilian samba is an upbeat, rhythmic dance performed at celebrations and festivals. jordon is taking…
the brazilian samba is an upbeat, rhythmic dance performed at celebrations and festivals. jordon is taking brazilian samba dance lessons from a friend. the probability distribution table shows the experimental probability that jordons dance lessons will be a given amount of time. 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 for probability distribution
The formula for the mean $\mu$ of a discrete probability distribution is $\mu=\sum_{i}x_{i}P(x_{i})$, where $x_{i}$ are the possible values and $P(x_{i})$ are their corresponding probabilities.
Step2: Calculate the product for each pair
For $x = 25$ and $P(25)=0.1$, the product is $25\times0.1 = 2.5$. For $x = 30$ and $P(30)=0.6$, the product is $30\times0.6=18$. For $x = 35$ and $P(35)=0$, the product is $35\times0 = 0$. For $x = 40$ and $P(40)=0.2$, the product is $40\times0.2 = 8$. For $x = 55$ and $P(55)=0.1$, the product is $55\times0.1=5.5$.
Step3: Sum up the products
$\mu=2.5 + 18+0 + 8+5.5=34$.
Answer:
34