Write the binomial probability and the normal probability for the shaded region of the graph. Find the value of each probability and compare the results.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 binomial distribution graph where the probability distribution $ P(x) $ is plotted against the variable $ x $.- **Horizontal Axis ($ x $)**: Represents the number of successes in a binomial experiment. - **Vertical Axis ($ \Delta P(x) $)**: Represents the probability of each number of successes.- **Histogram**: The graph consists of vertical bars representing the probability mass function of a binomial distribution. Each bar corresponds to the probability of obtaining exactly $ x $ successes.- **Overlayed Curve**: A smooth curve is drawn over the histogram. This is likely a normal approximation of the binomial distribution, used to show how the binomial distribution approaches a normal distribution as the number of trials increases.- **Parameters**: - $ n = 16 $ indicates the number of trials. - $ p = 0.55 $ indicates the probability of success on each trial.The graph shows the distribution of probabilities for a binomial experiment with 16 trials and a probability of success of 0.55 per trial. The shape of the histogram and the overlaid curve provide a visual representation of how the probabilities are distributed across different numbers of successful outcomes.

Answered: Write the binomial probability and the…

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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Write the binomial probability and the normal probability for the shaded region of the graph. Find the value of each probability and compare the results. 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)=nothing B. P(3

The image displays a binomial distribution graph where the probability distribution $ P(x) $ is plotted against the variable $ x $.

- **Horizontal Axis ($ x $)**: Represents the number of successes in a binomial experiment.

- **Vertical Axis ($ \Delta P(x) $)**: Represents the probability of each number of successes.

- **Histogram**: The graph consists of vertical bars representing the probability mass function of a binomial distribution. Each bar corresponds to the probability of obtaining exactly $ x $ successes.

- **Overlayed Curve**: A smooth curve is drawn over the histogram. This is likely a normal approximation of the binomial distribution, used to show how the binomial distribution approaches a normal distribution as the number of trials increases.

- **Parameters**:
- $ n = 16 $ indicates the number of trials.
- $ p = 0.55 $ indicates the probability of success on each trial.

The graph shows the distribution of probabilities for a binomial experiment with 16 trials and a probability of success of 0.55 per trial. The shape of the histogram and the overlaid curve provide a visual representation of how the probabilities are distributed across different numbers of successful outcomes.

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