identify the histogram for the probability distribution below.\n|x|p(x)|\n|0|0.0588|\n|1|0.2941|\n|2|0.4118|\…

Explanation:

Step1: Analyze x - values and probabilities

The table gives x - values 0, 1, 2, 3, 4 and their corresponding probabilities P(x) as 0.0588, 0.2941, 0.4118, 0.1765, 0.0588 respectively.

Step2: Match with histogram

The first bar in the histogram should correspond to x = 0 with height 0.0588, the second bar for x = 1 with height 0.2941, the third bar for x = 2 with height 0.4118, the fourth bar for x = 3 with height 0.1765 and the fifth bar for x = 4 with height 0.0588. The first histogram shown in the image matches these values.

Answer:

The first histogram shown in the image.