### 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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Answered: 1. Dogs: Let x be the number of dogs…

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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II. Find the missing probability to satisfy the properties of the probability distribution. 11. 3 4 5 P(x) 0.05 0.25 0.4 0.06 12. 4 5 P(x) 0. 06 0. 23 ? 0.35 0.05 13. 3 4 5 P(x) ? 15 15 14. 5 P(x) of ? 15. X. 1 3 4. 5 P(x) 1. 10 10 4. 3. 2. 2. 2.
please answer 15
1. Which of the following is a probability distribution? a. x 3 6 12 15 b. x 2. 3. 5. P(x) -0.3 0.5 0.1 0.3 0.4 P(x) 1.2 1.1 1.4 1.1 1.1 C. X 2 3 4 5 d. x 1. 2. 4 5 P(x) .49 .05 32 .07 .07 P(x) -.02 0.5 0.6 0.1 1 4.
For familiés with 5 children, let X be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? P(x) 1 0.2862 0.0776 3. 0.1155 4 0.0491 0.3974 O no O yes 2.
Which of the following is a legitimate probability distribution? (d) No. Prob 0.10 (e) No. Prob. (a) No. Prob. 1/4 (b) No. Prob. (c) No. Prob. 0.1 1. 1/4 2. 2. 0.2 2. 0.11 2. 3. 3. 3. 3. 0.25 3. -1 3 1/4 1/4 0.05 0.26 4. 4 4. 4. 0.3 4 4 1/4 04 O a Oc
Rem. A concerned parents group determined the number of commercials shown in each of the five children's programs over a period of time. Num of Commercials P(X = x 1.824 0.078 2.081 0.05 2.338 0.101 2.595 0.134 2.852 0.07 3.109 0.567 Consider the probability distribution table above. Determine the following: (a) Determine the mean = (b) Determine the Standard Deviation
Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4) = (Type an integer or a decimal.) X P(x) 3 0.16 4 ? 5 0.40 6 0.15 ...
Use the following information for the next 3 questions. The random variable x is the number of books sold in an hour at a local book store. Its probability distribution is as follows. Books Sold (x) Probability P(x) 0.01 2 0.24 3. 0.12 4. 0.16 5n 6. 0.01 0.14 7. O.11 0.21 16. Determine the mean number of books sold in an hour at that local book store. 17. Find the standard deviation for the number of books sold in an hour at that local book store. 18. Give the maximum and minimum number of books they could expect to sell in an hour. (Round to the nearest tenth.)
action=edit&resid=C08701F6876D7727!330&ithint=file%2cdocx&action=edit&wdNewAndOpenCt=1654742848849&wd Previous Ses 1. The following table shows the probability distribution for X = the number of traffic accidents reported in a day in a small city in the Rockies. X P(X) 0 0.25 1 0.30 0.20 0.10 0.10 5 0.05 a. What is the mear or expected number of accidents? b. What is the standard deviation of the number of accidents? an alarm in the presence of 2 3 4
A fitness center bought a new exercisemachine called the Mountain Climber. Theydecided to keep track of how many people used themachine over a 3-hour period. Find the mean, variance,and standard deviation for the probability distribution.Here X is the number of people who usedthe machine. X 0 1 2 3 4 P(X) 0.1 0.2 0.4 0.2 0.1
A survey of almost 44,000 two-child families yielded the accompanying table. The probability distribution of x, the number of boys in a two-child family is given below. Find E(x) and give a practical interpretation of its value. Gender Configuration Proportion D Girl-girl (GG) Boy-girl (BG) Girl-Boy (GB) 0.215 0.267 0.256 P(x) 0.215 0.523 0.262 Boy-boy (BB) 0.262 Choose the correct answer below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. If a very large number of households were sampled, on average, there would be E(x) = boys. O B. If a very large number of two-child households were sampled, on average, there would be E(x) = boys. of getting a family with a boy. %3D O C. If a very large number of two-child households were sampled, there would be a probability of E(x) = O D. In the sample of 44,000 households, each household had E(x) = boys.
A car service centre studies the record that shows the number of cars serviced per day. They uses the data to calculate the relative frequencies and obtains the following probability distribution. Number of cars, x P(X = x) 1 3 4 5 0.1 0.1 0.2 0.3 0.2 0.1 Find the probability that two or less cars are serviced each day. O 0.6 O 0.3 О 02 O 0.4

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