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The table describes a probability distribution for a certain event. Find the mean, 4, for the probability distribution.

A. 144.0
B. 12.0
C. 19.2
D. 4.4

The table describes a probability distribution for a certain event. Find the mean-example-1

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Answer:

C. 19.2 is the mean for this probability distribution.

Explanation:

The mean for a probability distribution is ∑ P(x).x

Here, x∈{10, 20, 30, 40, 50}

P(10) × 10= 5.34

P(20) × 20=3.86

P(30) × 30=4.2

P(40) × 40=3.4

P(50) × 50=2.4

∑=5.34+3.86+4.2+3.4+2.4= 19.2

Therefore, the mean of this probability distribution is 19.2.

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