Question

In: Math

A frequency distribution is shown below. Complete parts​ (a) through​ (e). The number of dogs per...

A frequency distribution is shown below. Complete parts​ (a) through​ (e). The number of dogs per household in a small town.

​(a) Use the frequency distribution to construct a probability distribution. ​(b) Find the mean of the probability distribution. ​(c) Find the variance of the probability distribution.  (d) Find the standard deviation of the probability distribution. ​(e) Using the found values of the mean and the standard​ deviation, an interpretation of the results in the context of the​ real-life situation is that a household on average has _ dog with a standard deviation of _ dog.

Dogs x=0 1 2 3 4 5

Households p(x)= 1225 408 164 44 25 15

Solutions

Expert Solution

Solution:

The total number of households having dogs is
1225+408+164+44+25+15 =1881

e) A household on average has 1.17 dog with a standard deviation of 0.9314 dog


Related Solutions

Complete parts​ (a) and​ (b) below. The number of dogs per household in a small town...
Complete parts​ (a) and​ (b) below. The number of dogs per household in a small town (a) Find the​ mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. u=___(Round to one decimal place if needed) Find the variance of the probability distribution. o2=___(round to one decimal place if needed) find the standard deviation of the probability distribution o=____(round to one decimal place when needed) (b) Interpret the results in the context of the​...
Complete parts​ (a) and​ (b) below. The number of dogs per household in a small town...
Complete parts​ (a) and​ (b) below. The number of dogs per household in a small town Dogs 0 1 2 3 4 5 Probability 0.649 0.220 0.087 0.024 0.013 0.008 ​ (a) Find the​ mean, variance, and standard deviation of the probability distribution.
Use the probability distribution to complete parts​ (a) and​ (b) below. The number of defects per...
Use the probability distribution to complete parts​ (a) and​ (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5 Probability 0.261 0.301 0.242 0.133 0.045 0.018 ​(a) Find the​ mean, variance, and standard deviation of the probability distribution. The mean is:
Use the probability distribution to complete parts​ (a) and​ (b) below. The number of defects per...
Use the probability distribution to complete parts​ (a) and​ (b) below. The number of defects per 1000 machine parts inspected Defects 0 1 2 3 4 5 Probability 0.262 0.291 0.240 0.151 0.037 0.019 ​(a) Find the​ mean, variance, and standard deviation of the probability distribution. The mean is nothing. ​(Round to one decimal place as​ needed.) The variance is nothing. ​(Round to one decimal place as​ needed.) The standard deviation is nothing. ​(Round to one decimal place as​ needed.)...
The frequency distribution shown in the following table lists the number of hours per day a...
The frequency distribution shown in the following table lists the number of hours per day a randomly selected sample of teenagers spent watching television. Where possible, determine what percent of the teenagers spent the following number of hours watching television. (Round your answers to one decimal place. If not possible, enter IMPOSSIBLE.) Hours per day Number of Teenagers 0 ≤ x < 1 17 1 ≤ x < 2 31 2 ≤ x < 3 24 3 ≤ x <...
For the data set shown below, complete parts (a) through (d) below. X 3 4 5...
For the data set shown below, complete parts (a) through (d) below. X 3 4 5 7 8 Y 3 5 8 12 13 (a) Find the estimates of Bo and B1. Bo=bo= _____ (Round to three decimal places as needed.) B1=b1= ______(Round to four decimal places as needed.) (b) Compute the standard error the point estimate for se= ____ (c) Assuming the residuals are normally distributed, determine Sb1=____ (Round to four decimal places as needed.) (d) Assuming the residuals...
For the data set shown below, complete parts (a) through (d) below. X 20 30 40...
For the data set shown below, complete parts (a) through (d) below. X 20 30 40 50 60 Y 98 95 91 81 68 (a) Find the estimates of Bo and B1. Bo=bo= _____ (Round to three decimal places as needed.) B1=b1= ______(Round to four decimal places as needed.) (b) Compute the standard error the point estimate for se= ____ (c) Assuming the residuals are normally distributed, determine Sb1=____ (Round to four decimal places as needed.) (d) Assuming the residuals...
For the data set shown below, complete parts (a) through (d) below. X 3 4 5...
For the data set shown below, complete parts (a) through (d) below. X 3 4 5 7 8 Y 4 7 6 12 15 (a) Find the estimates of Bo and B1. Bo=bo= _____ (Round to three decimal places as needed.) B1=b1= ______(Round to four decimal places as needed.) (b) Compute the standard error the point estimate for se= ____ (c) Assuming the residuals are normally distributed, determine Sb1=____ (Round to four decimal places as needed.) (d) Assuming the residuals...
For the data set shown below, complete parts (a) through (d) below. x y 20 102...
For the data set shown below, complete parts (a) through (d) below. x y 20 102 30 95 40 91 50 81 60 68 ​(a) Use technology to find the estimates of beta 0 and beta 1. beta 0 ~ b 0=_____​(Round to two decimal places as​ needed.) beta 1 ~ b 1=_____(Round to two decimal places as​ needed.) (b) Use technology to compute the standard error, the point estimate for o' (o with a little tag on the top)...
For the data and sample regression equation shown​ below, complete parts​ (a) through​ (c). x 0...
For the data and sample regression equation shown​ below, complete parts​ (a) through​ (c). x 0 3 5 5 5      ModifyingAbove y with caret equals 4.500 minus 0.917 xy=4.500−0.917x y 4 3 0 −2 1 a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. LOADING... Click the icon to view the table of normal scores.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT