the histogram shows the distribution of stops for red traffic lights a commuter must pass through on her way…

the histogram shows the distribution of stops for red traffic lights a commuter must pass through on her way to work. use the histogram to find the mean, variance, standard deviation, and expected value of the probability distribution.\nthe mean is \n(round to two decimal places as needed.)

the histogram shows the distribution of stops for red traffic lights a commuter must pass through on her way to work. use the histogram to find the mean, variance, standard deviation, and expected value of the probability distribution.\nthe mean is \n(round to two decimal places as needed.)

Answer

Answer:

$2.19$

Explanation:

Step1: Recall mean formula

$\mu=\sum_{x}x\cdot P(x)$

Step2: Calculate product for each $x$ - $P(x)$ pair

For $x = 0$, $0\times0.04 = 0$; for $x = 1$, $1\times0.26=0.26$; for $x = 2$, $2\times0.35 = 0.7$; for $x = 3$, $3\times0.15=0.45$; for $x = 4$, $4\times0.14 = 0.56$; for $x = 5$, $5\times0.06=0.3$.

Step3: Sum up the products

$\mu=0 + 0.26+0.7+0.45+0.56+0.3=2.19$