Question

The table shows the probability distribution of Pamela seeing red cars and green cars on her way to office.

Pamela can expect to see ___ red cars and___ green cars on her way to office.

Answer 1

The expected value of a dataset is the mean of the dataset.

The complete text is: Pamela can expect to see 1 red car and 1 green car on her way to office.

Expected value is calculated as:

$\mathbf{E(x) =\sum x \times P(x)}$

For the red cars, we have:

$\mathbf{Red = 0 \times 0.43 + 1 \times 0.31 + 2 \times 0.14 + 3 \times 0.10 + 4 \times 0.02}$

$\mathbf{Red = 0.97}$

Approximate

$\mathbf{Red = 1}$

For the green cars, we have:

$\mathbf{Green= 0 \times 0.45 + 1 \times 0.17 + 2 \times 0.22 + 3 \times 0.07 + 4 \times 0.09}$

$\mathbf{Green= 1.18}$

Approximate

$\mathbf{Green= 1}$

Hence, the expected values of red and green is 1.

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