The figure above shows the probability density function for the random variable x. The shaded area represents P(1≤x≤5). What is P(1≤x≤5)?Select the correct answer below:0.080.440.460.540.92 The image presents a probability density function (PDF) graph. The x-axis is labeled \( x \) and ranges from 1 to 8, while the y-axis is labeled \( P(x) \) and ranges from 0 to 0.35.The graph features a polygonal shape filled in light blue, extending from \( x = 1 \) to \( x = 5 \):1. From \( x = 1 \) to \( x = 5 \), the shape forms a triangle with its peak at approximately \( P(x) = 0.35 \) when \( x = 1 \) and tapers down linearly to \( P(x) = 0 \) at \( x = 5 \).2. Beyond \( x = 5 \), the graph features a small unshaded triangle extending to \( x = 6 \) with a base along the x-axis and its peak at a lower height of \( P(x) = 0.05 \).This function likely represents a piecewise linear distribution where the total area under the curve sums to 1, aligning with the properties of probability density functions. The shaded area indicates the region of interest within the distribution.

Name: The figure above shows the probability density function for the random
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: The figure above shows the probability density function for the random variable x. The shaded area represents P(1≤x≤5). What is P(1≤x≤5)?Select the correct answer below:0.080.440.460.540.92 The image presents a probability density function (PDF) grap