. X is the amount of rainfall in Seattle on a randomly chosen day. X is the number of rainy days in Seattle for a randomly chosen week. Practice with a Discrete Distribution . Imagine you are rolling two (six-sided) dice. What are the possibilities you can roll? How can we determine the probability for getting each amount? Make a table representing the probability distribution for the sum X of the amounts shown on the two rolled dice, telling me the story of your thought process for making this table. Use your table to find the following, telling me the story of your thought process for how you do SO: . • P(X=2) P(X> 10) P(X ≤2) . The mean (expected value) of X . The variance and standard deviation of X ● S Suppose we kept one of the usual six-sided dice, but for the other we replaced it with one which has five or six dots on each side instead of the usual one through six. Without actually calculating anything, would the mean increase or decrease? Would the variance and standard deviation increase or decrease? Tell me about your thought process for this. Application to Quality Control - Binomial Distributions

. X is the amount of rainfall in Seattle on a randomly chosen day. X is the number of rainy days in Seattle for a randomly chosen week. Practice with a Discrete Distribution . Imagine you are rolling two (six-sided) dice. What are the possibilities you can roll? How can we determine the probability for getting each amount? Make a table representing the probability distribution for the sum X of the amounts shown on the two rolled dice, telling me the story of your thought process for making this table. Use your table to find the following, telling me the story of your thought process for how you do SO: . • P(X=2) P(X> 10) P(X ≤2) . The mean (expected value) of X . The variance and standard deviation of X ● S Suppose we kept one of the usual six-sided dice, but for the other we replaced it with one which has five or six dots on each side instead of the usual one through six. Without actually calculating anything, would the mean increase or decrease? Would the variance and standard deviation increase or decrease? Tell me about your thought process for this. Application to Quality Control - Binomial Distributions

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use the image below to answer the following question: 1. Which distribution is left skewed?
Previously, De Anza's statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.
Which of the following statements is TRUE about the mean scores of the two sections? Descriptive Statistics Score Section A Section B Valid 45 45 Missing Mean 8.556 9.222 Std. Deviation 5.995 6.420 O a. Section B is more knowledgeable on the selected topic in Geometry than section A. b. Section B's mean score is higher than that of Section A's. O c. Section A's mean score is higher than that of Section B's. O d. Section A is more knowledgeable on the selected topic in Geometry than section B.
Which of the following statements is not true? There is only one median for each variable. One definition of the median states that, for an odd number of observations, the median is the middle score when scores are placed in order of magnitude. Another term for the median is 50th percentile. The median is generally more sensitive to (i.e., affected by) the presence of a few extreme observations than is the mean.
The table gives information on majors at a certain college. Sketch an appropriate graph of the distribution, and comment on its important features. Click the icon to view the table of majors information. One type of graph appropriate for showing this distribution is a bar chart. Which of the following bar charts correctly shows the given distribution? ○ A. Porcentage О в. Q 50- 50- 40- 40- 30- 20 30- 20- G 10- 10- 0+ 0+ HSS MS T Major H'SS'MS' T Major A. Pie chart ○ C. 50- Q 40- Percentage 30- 20 10- 0+ HSS MSI Major Which of the following would also be appropriate graphs for showing the given distribution? Select all that apply. ☐ ☐ ☐ ☐ B. Stemplot C. Pareto chart D. Histogram E. Dotplot F. None of the above Which of the following is the best description of the distribution's important features? OA. The mode is Social Science (SS). OB. The mode is Humanities (H). Majors ○ D. 50- Q Percentage 40- 30- 20- 10- 0+ H SS MSI Major Major H. Humanities SS. Social Science Percentage 39 17 MS.…
a. Use technology to produce a dotplot and b a histogram of this distribution. Try a few different histograms, with varying subintervals, to find the one that you consider the best summary of the distribution. b. Write a few sentences describing the shape, center, and spread of this distribution.
In a Normal distribution, the Empirical Rule states that... ["", "", "", "", ""] of the data is within 1 standard deviation of the mean, ["", "", "", "", ""] of the data is within 2 standard deviation of the mean, and ["", "", "", "", ""] of the data is within 3 standard deviation of the mean.
In anticipation of an upcoming election, officials in Rising Falls County are looking at the distance from each voter's home to that voter's nearest polling station. Assume that the population of all such distances for voters in Rising Falls County is approximately normally distributed. An article for the newspaper Politically Sound claimed that the mean of this population is 5.15 km. You want to test this claim, so you select a random sample of 23 Rising Falls County voters, and for each you record the distance the voter lives from their nearest polling station. Follow the steps below to construct a 90% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. Then state whether the confidence interval you construct contradicts the reporter's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: П Point estimate: 0…
Is it possible for the 50th percentile of a distribution to be equal to the 60th percentile? Why or why not? A. No, because you won’t get the same result multiplying by 50 as you do by 60. B. No, because there will always be some values of the distribution in between the 50th and 60th percentiles. C. Yes, this can happen if the distribution is uniform. D. Yes, this can happen if there are many members of the population with the same value.
O SPS Programs 5 n Uhllne LBCker. Vitu E Unuied document . G RII- GOogle search spanish In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this cholce of d.f. may Increase the Pvalue by a small amount and therefore produce a slightly more "conservative" answer. At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and Aprl are recorded below Weather Station 1 2 3 4 S 139 124 104 January 64 78 April 88 61 102 Does this Information Indicate that the peak wind gusts are higher in January than in April? Use a = 0.01. (Let d= January- April.) (a) what is the level of significance? State the null and alternate hypotheses. will you use a left-taled, noht-tailed, or two-talled test? O H H- 0, H H 0; nght-taled O Ho: He- 0; H, H-0; two-tafled O Hg: Ha> 0; H, Ha- 0;…
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