Question 1 a) Let assume A = {1,2,3,4, 5} and B = (4,5, 6,7,8,9}. Find the probability of A given B using the Bayes' Theorem. %3D
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b) Confirm your result above using Conditional Probability Theorem.
c) Why would any researcher want to know or detect the existence or not of outliers before any further analysis of his data?
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1d) Give one example of a ordinal variable and explain why you think your example approximate the ordinal level of measurement.
3d) What is the difference between cluster sampling method and stratified sampling method? Which one is more practical than theoretical?
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- 1. b) True False For a Binomial Distribution, the probability of success is always 1/2.In principle, a distribution of means can be formed by?Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millions of numbers in a large computer data bank. You draw a random sample of n = 226 numbers from this file and r = 87 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1. 1) Test the claim that p is more than 0.301. Use α = 0.10. 2) What is the value of the sample test statistic? (Round your answer to two decimal places.) 3) Find the P-value of the test statistic. (Round your answer to four decimal places.) 4) If p is in fact larger than 0.301, it would seem there are too many numbers in…
- What is the difference between discrete and continuous probability distributions? We will solve this problem with Excel Using BINOMDIST. Suppose that 48% of individuals 85 years and older have Alzheimer’s Disease. You go to a nursing home that has been feeding residents a diet consisting of natural, organic, and healthy foods including free range chickens, omega 3 eggs, flax seed, etc. You find that only 29 of 100 residents who are 85-years and older have Alzheimer’s disease? What is the likelihood of this outcome? Use the formula for the corresponding probability distribution to solve the problem. A manufacturer of television set known that on an average 5% of their product is defective. They sells television sets in consignment of 100 and guarantees that not more than 2 set will be defective. Which probability distribution is appropriate for use in the scenario? What is the value of λ? Write down the formula for the Probability Distribution. What is the probability that the…A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 25 adult Americans and asks them whether or not support the proposed changes . To say that the distribution of the sample proportion of adults who respond yes, is approximately normal , how many more adult Americans does the researcher need to sample in the following cases? (a) 15% of all adult Americans support the changes (b) 20% of all adult Americans support the changesYou want to find the probability that people will return a shopping cart to the corral after loading the groceries in their vehicle. For a 4 hours period, you observe the number of people who returned their cart and the number who did not. A success in this case would be that the person returned their cart. Choose the best statistical tool to calculate this probability A. Use the Central Limit Theorem to find the probability that the sample mean exceeds a certain value B. Use the empirical rule to find the number of cars that bracket 68% of the data C. Calculate a confidence interval for the population mean D. Calculate the total number of successes divided by the total number of observations to find the observed probability
- ↑ The data on hospitalizations for swine flu are summarized in the accompanying table. The table looks at the relation between Age Group and Hospitalization, for all swine flu victims in a certain country. Because some of the expected values are less than 5, some groups should be combined. Combine all the people who are 30 years old or older in one group and all the people who are less than 30 years old in another group. Show your new table. Then test the new table to see whether there is an association between the variables, using a significance level of a = 0.05. Assume that this is a random sample from the population of all future and past swine flu victims. Click the icon to view the swine flu hospitalization data. Complete the table. Hospitalized, Yes Hospitalized, No Totals Age Group Under 30 30 and Over Totals 54 557 611 Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: There is an association between age group and swine flu hospitalization.…(first part of question is attached) (e) What is the probability that the sample proportion of students of adults living with parents or other relatives is higher than 0.3? (f) What is the probability that the sample proportion of adults living alone is between 0.1 and 0.15?A random sample statistic will have a probability distribution that is its sampling distribution True False
- Anita's, a fast-food chain specializing in hot dogs and garlic fries, can monitor how many customers at its restaurants want to eat (in addition to ordering takeout) to decide whether or not to build a location to play in the city. . Including the presence of Sammy the mascot in local locations, stores and franchises, Anita reports that 45% of her customers order food for delivery. If this ratio is true, what is the probability that a random sample of 3 of Anita's 4 customers will order food? Round your response to at least three decimal places. (If necessary, consult a list of formulas.)(c) Does this Poisson distribution provide a good model for the number of accidents in this example (as per Table 1)? Explain why or why not. Use R to produce a graph to help support your answer (produce the R as part of your answer). (d) Use the model in (b) to estimate the probability that less than 2 accidents were recorded in any randomly chosen week. How does this compare to the actual data?please help