### Binomial Distribution and Histogram Matching**Question:**Match $ n = 4 $, $ n = 8 $, $ n = 12 $ with the correct graph. Each histogram shown below represents part of a binomial distribution. Each distribution has the same probability of success $ p $ but different numbers of trials $ n $.**Histograms:**1. **Histogram (a):** The graph shows a distribution where the highest probability is centered around the middle, indicating a more symmetric shape.2. **Histogram (b):** This graph shows a more left-skewed distribution, with higher probabilities on the left side.3. **Histogram (c):** Similar to (a), but with a slightly narrower spread and more peaks towards the center.**Questions:**1. Histogram (a) has the number of trials $ n = \[ \ \] $.2. Histogram (b) has the number of trials $ n = \[ \ \] $.3. Histogram (c) has the number of trials $ n = \[ \ \] $.**What happens as the value of $ n $ increases and the probability of success remains the same?**- **A.** As $ n $ increases, the distribution becomes more skewed right.- **B.** As $ n $ increases, the distribution becomes more skewed left.- **C.** As $ n $ increases, the distribution becomes more symmetric.**Answer Explanation:**As the number of trials $ n $ increases, the binomial distribution tends to become more symmetric, approaching a normal distribution shape, particularly when the probability of success remains constant.**Correct Answer:** C**Instructions:**Select the appropriate number of trials for each histogram by analyzing the skewness and spread of the distribution to determine whether it corresponds to $ n = 4 $, $ n = 8 $, or $ n = 12 $.

Name: ### Binomial Distribution and Histogram Matching**Question:**Match $
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Description: ### Binomial Distribution and Histogram Matching**Question:**Match \( n = 4 $, $ n = 8 $, $ n = 12 $ with the correct graph. Each histogram shown below represents part of a binomial distribution. Each distribution has the same probability of su

Each of the histogram has same probability of success p.

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Statistics

Match n= 4, n = 8, n = 12 with the correct graph. Each histogram shown below represents part of a binomial distribution. Each distribution has the same probability of success p but different numbers of trials n. AP(x) 0.40- 0.30- AP(x) 0.40- 0.30- 0.20- 0.10- 0.00- (a) 0.20- 0.10- 0.00- 036912 0 369 12 (b) AP(x) 0.40- 0.30- 0.20- 0.10- Histogram (a) has the number of trials n = Histogram (b) has the number of trials n = Histogram (c) has the number of trials n= What happens as the value of n increases and the probability of success remains the same? O A. As n increases, the distribution becomes more skewed right. O B. As n increases, the distribution becomes more skewed left. O C. As n increases, the distribution becomes more symmetric.

Match n= 4, n = 8, n = 12 with the correct graph. Each histogram shown below represents part of a binomial distribution. Each distribution has the same probability of success p but different numbers of trials n. AP(x) 0.40- 0.30- AP(x) 0.40- 0.30- 0.20- 0.10- 0.00- (a) 0.20- 0.10- 0.00- 036912 0 369 12 (b) AP(x) 0.40- 0.30- 0.20- 0.10- Histogram (a) has the number of trials n = Histogram (b) has the number of trials n = Histogram (c) has the number of trials n= What happens as the value of n increases and the probability of success remains the same? O A. As n increases, the distribution becomes more skewed right. O B. As n increases, the distribution becomes more skewed left. O C. As n increases, the distribution becomes more symmetric.

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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