Recent questions in Modeling data distributions

College StatisticsAnswered question

Lacey Cordova 2023-03-25

Is every straight line the graph of a function?

College StatisticsAnswered question

Presley Washburn2022-07-19

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.

$P\left(X\le 4\right)$, n=6 p=0.4

Its binomial distribution I couldn't find an option for it

College StatisticsAnswered question

the manager of an electrical supply store measured th diameters of the rolls of wire in the inventory. The diameter of the rolls are listed below 0.56, 0.622, 0.154, 0.412, 0.287, 0.118

College StatisticsAnswered question

jbaynosa838 2022-03-02

A board game in a fieste carnival has the numbers 2 through 12. These numbers are the sum of the results in rolling todice. If you are going to place your bet on the numbers, what will you choose and why? Apply your knowledge on probabilitydistribution Show your solutions

College StatisticsAnswered question

Find the amount in a savings account after 12 years if $56,780 is invested at 2.8% interest compounded quarterly.

College StatisticsAnswered question

Under the normal curve, the probability of a score occurring below the mean is
0
68%
2 to 1
.50

College StatisticsAnswered question

Abbie Mcgrath 2022-01-23

Data Mining

Which of the following steps are done before data modeling? SELECT ONE

Data cleaning

Data reduction

Data transformation

All of the above

College StatisticsAnswered question

veudeje 2021-11-19

The table below contains the information for the joint probability mass function of X and Y (two different measurement systems).

a) Plot and calculate the marginal distributions of X and Y

b) Select one of the Y values from the table and find the conditional probability mass function of X for that Y value you have selected and plot it.

c) Show whether X and Y are independent or not.

d) Calculate the covariance of (X,Y) i.e. Cov(X,Y).

$$\begin{array}{|ccccc|}\hline f(x,y)& 1& 2& 3& 4\\ 10& 0.05& 0& 0.1& 0\\ 20& 0.1& 0.1& 0.05& 0.05\\ 30& 0.05& 0& 0.15& 0\\ 40& 0.1& 0.15& 0.05& 0.05\\ \hline\end{array}$$

College StatisticsAnswered question

wurmiana6d 2021-11-19

Ron Larson - Calculus 11th Edition

Chp 3.3 Increasing and decreasing functions and the first derivative test.

Please show work and explain steps, thank you.

Modeling Data. The end-of-year assets of the Medicare Hospital Insurance Trust Fund (in billions of dollars) for the years 2006 through 2014 are shown.

2006: 305.4 2007: 326.0 2008: 321.3

2009: 304.2 2010: 271.9 2011: 244.2

2012: 220.4 2013: 205.4 2014: 197.3

(Source: U.S. Centers for Medicare and Medicaid Services)

(b) Use a graphing utility to plot the data and graph the model.

Chp 3.3 Increasing and decreasing functions and the first derivative test.

Please show work and explain steps, thank you.

Modeling Data. The end-of-year assets of the Medicare Hospital Insurance Trust Fund (in billions of dollars) for the years 2006 through 2014 are shown.

2006: 305.4 2007: 326.0 2008: 321.3

2009: 304.2 2010: 271.9 2011: 244.2

2012: 220.4 2013: 205.4 2014: 197.3

(Source: U.S. Centers for Medicare and Medicaid Services)

(b) Use a graphing utility to plot the data and graph the model.

College StatisticsAnswered question

lilyta79jd 2021-11-18

Look at the normal curve below, and find $\mu ,\text{}\mu +\sigma$ , and $\sigma$

$$\begin{array}{|ccc|}\hline \mu & =& \\ \mu +\sigma & =& \\ \sigma & =& \\ \hline\end{array}$$

College StatisticsAnswered question

puntgewelb5 2021-11-18

The Great White Shark. In an article titled “Great White, Deep Trouble” (National Geographic, Vol. 197(4), pp. 2–29), Peter Benchley—the author of JAWS—discussed various aspects of the Great White Shark (Carcharodon carcharias). Data on the number of pups borne in a lifetime by each of 80 Great White Shark females are provided on the WeissStats site. Use the technology of your choice to

a. obtain frequency and relative-frequency distributions, using single-value grouping.

b. construct and interpret either a frequency histogram or a relativefrequency histogram.

a. obtain frequency and relative-frequency distributions, using single-value grouping.

b. construct and interpret either a frequency histogram or a relativefrequency histogram.

College StatisticsAnswered question

pavitorj6 2021-11-18

The data for the joint probability mass function of X and Y (two different measurement systems) are given in the table below.

a) Calculate the marginal distributions of X and Y and plot them.

b) Select one of the Y values from the table and find the conditional probability mass function of X for that Y value you have selected and plot it.

c) Show whether X and Y are independent or not.

$$\begin{array}{|ccccc|}\hline f(x,y)& 1& 2& 3& 4\\ 15& 0.1& 0& 0.1& 0.05\\ 20& 0.05& 0.05& 0& 0.1\\ 25& 0& 0.05& 0.05& 0.1\\ 30& 0.1& 0.05& 0.15& 0.05\\ \hline\end{array}$$

d) Calculate the covariance of (X,Y) i.e. Cov(X,Y).

a) Calculate the marginal distributions of X and Y and plot them.

b) Select one of the Y values from the table and find the conditional probability mass function of X for that Y value you have selected and plot it.

c) Show whether X and Y are independent or not.

d) Calculate the covariance of (X,Y) i.e. Cov(X,Y).

College StatisticsAnswered question

generals336 2021-10-27

Which of the following is nota condition for constructing a confidence interval to estimate the difference between two population proportions?

A. The samples must be selected randomly.

B. The data must come from populations with approximately normal distributions.

C. When samples are taken without replacement, each population must be at least 10 times as large as its corresponding sample.

D. The samples must be independent of each other.

E. The observed number of successes and failures for both samples must be at least 10.

A. The samples must be selected randomly.

B. The data must come from populations with approximately normal distributions.

C. When samples are taken without replacement, each population must be at least 10 times as large as its corresponding sample.

D. The samples must be independent of each other.

E. The observed number of successes and failures for both samples must be at least 10.

College StatisticsAnswered question

Chesley 2021-10-26

A random sample of

Previous studies show that

For Englewood (a suburb of Denver), a random sample of

Previous studies show that

Assume the pollution index is normally distributed in both Englewood and Denver.

(a) State the null and alternate hypotheses.

(b) What sampling distribution will you use? What assumptions are you making?

The Students

College StatisticsAnswered question

DofotheroU 2021-10-26

A standard 3 sigma x-bar chart has been enhanced with early warning limits at plus-minus one sigma from the centerline . Three sample means in a row have plotted above the +1 sigma line . what is the probability of this happening if the process is still in control.

College StatisticsAnswered question

beljuA 2021-10-20

The population mean may be reliably estimated using a statistic calculated from data recorded from randomly selected individuals.’ Explain this statement with reference to sampling distributions and the central limit theorem.

College StatisticsAnswered question

Alyce Wilkinson 2021-10-20

Range=max value- min value

h=r/m m=no of classes

The weights shown in data given to the nearest tenth of a pound, were obtained from a sample of 18- to 24-year-old males. Organize these data into frequency and relative-frequency distributions. Use a class width of 20 and a ﬁrst cutpoint of 120.

129.2 185.3 218.1 182.5 142.8 155.2 170.0 151.3 187.5 145.6 167.3 161.0 178.7 165.0 172.5 191.1 150.7 187.0 173.7 178.2 161.7 170.1 165.8 214.6 136.7 278.8 175.6 188.7 132.1 158.5 146.4 209.1 175.4 182.0 173.6 149.9 158.6

Also calculate cumulative frequency and midpoint.

h=r/m m=no of classes

The weights shown in data given to the nearest tenth of a pound, were obtained from a sample of 18- to 24-year-old males. Organize these data into frequency and relative-frequency distributions. Use a class width of 20 and a ﬁrst cutpoint of 120.

129.2 185.3 218.1 182.5 142.8 155.2 170.0 151.3 187.5 145.6 167.3 161.0 178.7 165.0 172.5 191.1 150.7 187.0 173.7 178.2 161.7 170.1 165.8 214.6 136.7 278.8 175.6 188.7 132.1 158.5 146.4 209.1 175.4 182.0 173.6 149.9 158.6

Also calculate cumulative frequency and midpoint.

College StatisticsAnswered question

Khadija Wells 2021-10-17

Reporting summary measures such as the mean, median, and standard deviation has become very common in modern life. Many companies, government agencies will report these descriptive measures of a variable, but they will rarely provide information on the shape of the distribution of that variable. In previous tutorials, you have learned some basic properties of some distributions that can help you to decide if a specific type of distribution is a good fit for a set of data.

According to the National Diet and Nutrition Survey: Adults Aged 19 to 64, British men spend an average of 2.15 hours per day in moderate or high intensity physical activity. The standard deviation of these activity times for this sample was 3.59 hours. Can we infer that these activity times could follow a normal distribution? The following may provide an answer.

Suppose that the standard deviation for this sample was 0.70 hours instead of 3.59 hours, which make it numerically possible for the distribution to be normal. Again, considering the variable being measured, explain why the normal distribution is still not a logical choice for this distribution.

According to the National Diet and Nutrition Survey: Adults Aged 19 to 64, British men spend an average of 2.15 hours per day in moderate or high intensity physical activity. The standard deviation of these activity times for this sample was 3.59 hours. Can we infer that these activity times could follow a normal distribution? The following may provide an answer.

Suppose that the standard deviation for this sample was 0.70 hours instead of 3.59 hours, which make it numerically possible for the distribution to be normal. Again, considering the variable being measured, explain why the normal distribution is still not a logical choice for this distribution.

College StatisticsAnswered question

Dolly Robinson 2021-10-16

Learning math The Core Plus Mathematics Project
(CPMP) is an innovative approach to teaching Math-
ematics that engages students in group investigations
and mathematical modeling. After field tests in 36 high
schools over a three-year period, researchers compared
the performances of CPMP students with those taught
using a traditional curriculum. In one test, students had to
solve applied Algebra problems using calculators. Scores
for 320 CPMP students were compared to those of a
control group of 273 students in a traditional Math pro-
gram. Computer software was used to create a confidence
interval for the difference in mean scores. (Journal for
Research in Mathematics Education, 31, no. 3[2000])
Conf level: 95% Variable: Mu(CPMP) – Mu(Ctrl)
Interval: (5.573, 11.427)
a) What’s the margin of error for this confidence
interval?
b) If we had created a 98% CI, would the margin of error
be larger or smaller?c) Explain what the calculated interval means in context.
d) Does this result suggest that students who learn
Mathematics with CPMP will have significantly
higher mean scores in Algebra than those in traditional
programs? Explain.

Statistics and probability also include various data modeling questions, which can be encountered basically everywhere from Social Sciences and Biology to Engineering and Data Science. Depending on your questions, you can receive immediate help by looking through the data modeling examples that we have presented below for you. These will help you to find solutions and find the answers to presented challenges. It is recommended to model your data carefully and to check things twice to ensure that everything is correct because accuracy is the key to any statistical work where a calculation is involved.