Given the probability histogram pictured for a discrete random variable X, what is μx?
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Answer:
3.25
Step-by-step explanation:
μX = 2(0.3) + 3(0.2) + 4(0.4) + 5(0.1) = 3.3
The mean of the distribution represented by the histogram is 3.25
The mean is the product of the value of X and its corresponding probability (P(x)).
The mean can be expressed thus :
From the histogram :
Mean = (1 × 0.05) + (2 × 0.2) + (3 × 0.35) + (4 × 0.25) + (5 × 0.15)
Mean = 0.05 + 0.40 + 1.05 + 1.00 + 0.75 = 3.25
Therefore, the mean value of the distribution depicted by the histogram ls 3.25
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