Question

The following table provides a probability distribution for the random variable y. Y f(y) 1 0. 20 5 0. 30 6 0. 40 9 0. 10 (a) compute e(y). If required, round your answer to one decimal place.

Answer 1

The probability distribution table is used to represent individual probabilities

The value of E(y) is 5.0

How to compute e(y)?

The value of e(y) is calculated using the following expected value formula

$E(y) = \sum y * P(y)$

So, we have:

$E(y) = 1 * 0.20 + 5 * 0.30 + 6 * 0.40 + 9 * 0.10$

Evaluate

$E(y) = 5.0$

Hence, the value of E(y) is 5.0

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