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1. Dogs: Let x be the number of dogs per household in a small town. The probability distribution of x is as follows: X 0 1 2 3 4 5 P(x) 0.686 0.195 0.077 0.022 0.013 0.007 Find (a) Find P(Less than 3 dogs) (b) Find the probability that a household had at least two dogs. (c) Would it be unusual for a household to have more than two dogs? Why/ why not? Motivate your answer.

1. Dogs: Let x be the number of dogs per household in a small town. The probability distribution of x is as follows: X 0 1 2 3 4 5 P(x) 0.686 0.195 0.077 0.022 0.013 0.007 Find (a) Find P(Less than 3 dogs) (b) Find the probability that a household had at least two dogs. (c) Would it be unusual for a household to have more than two dogs? Why/ why not? Motivate your answer.

MATLAB: An Introduction with Applications
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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### 1. Dogs: Let \( x \) be the number of dogs per household in a small town. The probability distribution of \( x \) is as follows: | \( x \) | 0 | 1 | 2 | 3 | 4 | 5 | |-------|-------|-------|-------|-------|-------|-------| | \( P(x) \) | 0.686 | 0.195 | 0.077 | 0.022 | 0.013 | 0.007 | Find: (a) Find \( P(\text{Less than 3 dogs}) \) (b) Find the probability that a household had at least two dogs. (c) Would it be unusual for a household to have more than two dogs? Why/why not? Motivate your answer. (d) Compute the mean \( \mu_x \) number of dogs per household. (Use your calculator, and write down how you did it!!) \( \mu_x = \) (e) Compute the standard deviation \( \sigma_x \) of the number of dogs per household. (Use your calculator, and write down how you did it!!) \( \sigma_x = \)
Transcribed Image Text:### 1. Dogs: Let \( x \) be the number of dogs per household in a small town. The probability distribution of \( x \) is as follows: | \( x \) | 0 | 1 | 2 | 3 | 4 | 5 | |-------|-------|-------|-------|-------|-------|-------| | \( P(x) \) | 0.686 | 0.195 | 0.077 | 0.022 | 0.013 | 0.007 | Find: (a) Find \( P(\text{Less than 3 dogs}) \) (b) Find the probability that a household had at least two dogs. (c) Would it be unusual for a household to have more than two dogs? Why/why not? Motivate your answer. (d) Compute the mean \( \mu_x \) number of dogs per household. (Use your calculator, and write down how you did it!!) \( \mu_x = \) (e) Compute the standard deviation \( \sigma_x \) of the number of dogs per household. (Use your calculator, and write down how you did it!!) \( \sigma_x = \)
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