Question

random variables
you collected the data for the
lateness of a local bus into the
following probability distribution
table.
what is the expected value for
lateness of the bus?
1.7
1.8
2
6
4 of 4
submit

Explanation:

Step1: Recall the formula for expected value

The formula for the expected value \( E(X)\) of a discrete random variable is \( E(X)=\sum_{i}x_{i}P(x_{i})\), where \( x_{i}\) are the values of the random variable and \( P(x_{i})\) are their corresponding probabilities.

Step2: Substitute the values from the table into the formula

$$
LATEXBLOCK0
$$

Step3: Calculate the sum

\(0.3 + 0.8+0.6=1.7\)

Answer:

1.7