Write the normal probability for the shaded region of the graph and find its value. Select the correct choice below and fill in the answer box within your choice.(Round to four decimal places as needed.)A.P(3≤x≤7)=P(2.5≤x≤7.5)=nothingB.P(3 The image displays a probability distribution graph representing a binomial distribution. The key parameters for the binomial distribution are indicated in the upper right corner of the graph: \( n = 16 \) and \( p = 0.55 \).### Description of the Graph:- **X-axis (Horizontal):** Represents the number of successes \( x \) in the binomial distribution, ranging from 0 to 16.- **Y-axis (Vertical):** Represents the probability \( P(x) \) of obtaining exactly \( x \) successes, with values ranging from 0 to 0.24.### Graph Details:- **Bars:** The graph consists of vertical bars showing the probability of each specific outcome (number of successes). Each bar corresponds to a discrete value on the x-axis. - **Highlighted Bars:** A section of the bars, particularly between 4 to 6, is shaded in teal, indicating the area of interest or possibly a specific probability calculation focus.- **Curve:** A normal distribution curve overlays the bars, representing an approximation of the binomial distribution with the given parameters \( n = 16 \) and \( p = 0.55 \).### Additional Notes:- **Purpose:** This graph is typically used to illustrate the behavior of a binomial distribution, showing how probabilities are distributed across multiple possible outcomes. - **Educational Use:** This type of graph is useful for teaching concepts in probability and statistics, such as the binomial theorem, probability mass functions, and normal approximation to the binomial distribution.

From the given graph, n=16 p=0.55 By using the normal approximation method, X~Nnp, np1-pX~N16×0.55, 16×0.551-0.55X~N8.8, 3.96The normal probability for the shaded region of the graph can be calculated as: P(3≤x≤7)=P(2.5≤x≤7.5) after the continuity correction, P2.5≤X≤7.5=P2.5-8.83.96≤X-npnpq≤7.5-8.83.96 =P-3.1658≤z≤-0.6533 =Pz≤-0.6533-Pz<-3.1658 =0.2568-0.0008 =0.2560 Thus, the required answer is 0.2560.