Please do #30. **Exercise Instructions:**For Problems 29–34, perform the following tasks:(a) Construct a binomial probability distribution with the given parameters. (b) Compute the mean and standard deviation of the random variable using the methods of Section 6.1. (c) Compute the mean and standard deviation using the methods of this section. (d) Draw a graph of the probability distribution and comment on its shape.**Problems:**29. \( n = 6, \, p = 0.3 \)30. \( n = 8, \, p = 0.5 \)**Explanation:**- **Binomial Probability Distribution**: This involves calculating the probability of obtaining a certain number of successes in a fixed number of independent Bernoulli trials.- **Mean and Standard Deviation**: Use the formulae: - Mean \( \mu = n \times p \) - Standard Deviation \( \sigma = \sqrt{n \times p \times (1 - p)} \)- **Graph**: The graph typically will show the probability of different numbers of successes on the x-axis and the probability on the y-axis. The shape should be analyzed based on how symmetric or skewed it is, which often relates to the values of \( n \) and \( p \).

As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted..,…

In Problems 29-34, (a) construct a binomial probability distribution with the given parameters; (b) compute the mean and standard deviation of the random variable using the methods of Section 6.1; (c) compute the mean and standard deviation, using the methods of this section; and (d) draw a graph of the probability distribution and comment on its shape. 29. n = 6, p = 0.3 30. n = 8 p=05 n

In Problems 29-34, (a) construct a binomial probability distribution with the given parameters; (b) compute the mean and standard deviation of the random variable using the methods of Section 6.1; (c) compute the mean and standard deviation, using the methods of this section; and (d) draw a graph of the probability distribution and comment on its shape. 29. n = 6, p = 0.3 30. n = 8 p=05 n

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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Question

Please do #30.

**Exercise Instructions:**

For Problems 29–34, perform the following tasks:

(a) Construct a binomial probability distribution with the given parameters.
(b) Compute the mean and standard deviation of the random variable using the methods of Section 6.1.
(c) Compute the mean and standard deviation using the methods of this section.
(d) Draw a graph of the probability distribution and comment on its shape.

**Problems:**

29. \( n = 6, \, p = 0.3 \)

30. \( n = 8, \, p = 0.5 \)

**Explanation:**

- **Binomial Probability Distribution**: This involves calculating the probability of obtaining a certain number of successes in a fixed number of independent Bernoulli trials.

- **Mean and Standard Deviation**: Use the formulae:
- Mean \( \mu = n \times p \)
- Standard Deviation \( \sigma = \sqrt{n \times p \times (1 - p)} \)

- **Graph**: The graph typically will show the probability of different numbers of successes on the x-axis and the probability on the y-axis. The shape should be analyzed based on how symmetric or skewed it is, which often relates to the values of \( n \) and \( p \).

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