Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. **Instructions:**Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable \( x \) is normally distributed.**Graph Explanation:**- The graph displays a normal distribution curve for SAT Critical Reading Scores.- The horizontal axis represents the score, ranging from 200 to 800.- The mean (\( \mu \)) of the distribution is 501, and the standard deviation (\( \sigma \)) is 107.- The shaded area under the curve represents scores between 200 and 425.- The shaded region is bounded by vertical lines at 200 and 425 along the score axis.**Conclusion:**The probability that the member selected at random is from the shaded area of the graph is \(\_\_\_\_\). (Round to four decimal places as needed.)

Name: Assume a member is selected at random from the population represented
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded area of the graph. Assume the variable x is normally distributed. **Instructions:**Assume a

From the provided information, Mean (µ) = 501 Standard deviation (σ) = 107 Let X be a random variable which represents the number of members to be selected. X~N (501, 107)The required probability that the member selected at random from the shaded area of the graph can be calculated as: