Question

Please help!

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Find the expected value of the random variable with the given probability distribution.

Answer 1

The expected value for the probability distribution is 2.6

The expected value, μ can be calculated using the formula :

• μ = ∑x*p(x)

Taking the product:

1 × 0.30 = 0.30

2 × 0.24 = 0.48

3 × 0.19 = 0.57

4 × 0.15 = 0.60

5 × 0.70 = 0.35

6 × 0.05 = 0.30

Taking the sum of the product:

• 0.30 + 0.48 + 0.57 + 0.60 + 0.35 + 0.30 = 2.6

Therefore, the expected value for the probability distribution is 2.6