so sorry! THIS is the correct full version of the last question I asked. i need help solving the last part, please **Educational Content: Understanding Probability Distributions****Context:**The time (in minutes) until the next bus departs from a major bus depot follows a uniform distribution with \( f(x) = \frac{1}{20} \), where \( x \) ranges from 25 to 45 minutes.**Example Problem:**Find the probability that the time is at most 40 minutes. Enter your answer as a fraction.**Solution:**The required probability is \(\frac{3}{4}\).**Visualization:**1. **Graph Explanation:** - A histogram-like representation is displayed with three different sketches. Each graph shows the probability density function \( f(x) \) plotted against \( x \). - The correct diagram highlights the area of interest where \( x \) is at most 40, by shading the rectangle from 25 to 40 minutes on the x-axis, which aligns with the calculated probability.2. **Interpretation:** - The graph to the bottom left is the correct one, showing the interval from 25 to 40 shaded, indicating the cumulative probability of the bus departing within that timeframe.**Conclusion:**To express this information in a probability statement, we write:"The probability of a waiting time of 40 minutes or less is \(\frac{3}{4}\), given that waiting times are uniformly distributed between 25 and 45 minutes."This example demonstrates how to use the probability density function and visual aids to comprehend and solve problems involving uniform distributions. **Title: Understanding Probability Distributions in Time Intervals****Problem Context:**The time (in minutes) until the next bus departs from a major bus depot follows a distribution with the probability density function \( f(x) = \frac{1}{20} \) where \( x \) ranges from 25 to 45 minutes.---**Parts Overview:**- **Part (a) to (g):** These sections likely contain related problems or concepts that use this distribution, but specific details are not provided in the image.---**Probability Calculation:***Task:*Find the probability that the waiting time is at most 40 minutes.*Solution:*The solution involves finding the probability when the time \( x \leq 40 \).\[P(x \leq 40) = \frac{3}{4}\]---**Graphical Representation:**- A distribution graph is shown to illustrate the probability density function between 25 and 45 minutes.- Four graphs are presented, each depicting different segments of the area under the curve.**Correct Graph Description:**- **Graph 4:** This graph is selected as the correct illustration.- **Axis Details:** - \( x \)-axis: Represents time in minutes from 25 to 45 minutes. - \( f(x) \)-axis: Represents the probability density, with a maximum height of 0.20.- The shaded area corresponds to \( x \leq 40 \), representing the probability calculated.---**Probability Statement:**Write a probability in statement form:"The probability of a waiting time of 40 minutes is \(\frac{3}{4}\), given waiting times from 25 to 45 minutes."**Note:** Ensure calculations and graph interpretations align with the continuous uniform distribution principles.

The probability density function (PDF) of the uniformly distributed random variable with parameters…

The time (in minutes) until the next bus departs a major bus depot follows a distribution with (x) - where x goes from 25 to 45 minutes. O Part (a) O Part (b) O Part (e) O Part (d) O Part (e) O Part (n O Part (g) Find the probability that the time is at most 40 minutes. (Enter your answer as a fraction.) 3/4 Sketch and label a graph of the distribution. Shade the area of interest. f(X) f(X) 0.20 0.20 0.15 0.15 0.10 0.10 0.05 0.05 5 10 15 20 25 30 35 40 45 50 5 10 15 20 25 30 35 40 45 50 f(X) f(X) 0.20 0.20 0.15 0.15 0.10 0.10 0.05 0.05 5 10 15 20 25 30 35 40 45 50 5 10 15 20 25 30 35 40 45 50 Write the answer in a probability statement. (Enter exact numbers as integers, fractions, or decimals.) The probability of a waiting time of 40 minutes or SelectV is . given waiting times v ?

The time (in minutes) until the next bus departs a major bus depot follows a distribution with (x) - where x goes from 25 to 45 minutes. O Part (a) O Part (b) O Part (e) O Part (d) O Part (e) O Part (n O Part (g) Find the probability that the time is at most 40 minutes. (Enter your answer as a fraction.) 3/4 Sketch and label a graph of the distribution. Shade the area of interest. f(X) f(X) 0.20 0.20 0.15 0.15 0.10 0.10 0.05 0.05 5 10 15 20 25 30 35 40 45 50 5 10 15 20 25 30 35 40 45 50 f(X) f(X) 0.20 0.20 0.15 0.15 0.10 0.10 0.05 0.05 5 10 15 20 25 30 35 40 45 50 5 10 15 20 25 30 35 40 45 50 Write the answer in a probability statement. (Enter exact numbers as integers, fractions, or decimals.) The probability of a waiting time of 40 minutes or SelectV is . given waiting times v ?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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