**Probability Distribution of Dogs per Household**The following details a probability distribution for the number of dogs per household in a small town:| Dogs | Probability ||------|-------------|| 0 | 0.622 || 1 | 0.236 || 2 | 0.094 || 3 | 0.026 || 4 | 0.014 || 5 | 0.008 |**Tasks:**(a) *Calculate the Mean, Variance, and Standard Deviation of the Probability Distribution.*- **Mean (μ):** Compute the expected value by multiplying each number of dogs by its probability and summing the results. \(\mu = \sum (x \cdot P(x))\) \(\mu = \boxed{\ } \) (Round to one decimal place as needed.)- **Variance (\(\sigma^2\)):** Compute the variance by finding the expected value of the squared deviations from the mean. \(\sigma^2 = \sum ((x - \mu)^2 \cdot P(x))\) \(\sigma^2 = \boxed{\ } \) (Round to one decimal place as needed.)- **Standard Deviation (\(\sigma\)):** The standard deviation is the square root of the variance. \(\sigma = \boxed{\ } \) (Round to one decimal place as needed.)*Click to select your answer(s).*

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Description: **Probability Distribution of Dogs per Household**The following details a probability distribution for the number of dogs per household in a small town:| Dogs | Probability ||------|-------------|| 0 | 0.622 || 1 | 0.236 || 2 |

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Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 1 4 Probability 0.622 0.236 0.094 0.026 0.014 0.008 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. (Round to one decimal place as needed.) Find the variance of the probability distribution. = (Round to one decimal place as needed.) %3D Find the standard deviation of the probability distribution. (Round to one decimal place as needed.)

Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 1 4 Probability 0.622 0.236 0.094 0.026 0.014 0.008 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. (Round to one decimal place as needed.) Find the variance of the probability distribution. = (Round to one decimal place as needed.) %3D Find the standard deviation of the probability distribution. (Round to one decimal place as needed.)

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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