marginal distributions of X and Y.
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Q: A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of…
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Q: If random variable X has a binomial distribution with 14 and P(success) 0.3, find the mean of X
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A: L
Q: randomly selected sorority sisters. Brothers: 11 885 13 4 4 7 5 7 12 4 3 Sisters: 8 2 3 6 2 4 6 6…
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Q: Burnt Mesa Pueblo, in one of the archaeological excavation sites, the artifact density (number of…
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Q: Which of the following is a consequence of increasing variability
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Q: When a there is a significant difference between two distributions, but the research fails to find…
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Q: Suppose you have a bucket of 150 balls: 47 red, 62 blue, and 41 green. Describe the distribution for…
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Q: (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the…
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Q: For the case of the thin copper wire, suppose that the number of flaws follows a Poisson…
A: The probability mass function of the Poisson distribution is given by
The joint distribution of two random variables X and Y is tabulated below. Complete the table by completing the marginal distributions of X and Y.
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- Emissions of nitrogen oxides, which are major constituents of smog, can be modeled using a normal distribution. Let x denote the amount of this pollutant emitted (in parts per billion) by a randomly selected vehicle. Suppose the distribution of x can be described by a normal distribution with ? = 1.8 and ? = 0.4. A city wants to offer some sort of incentive to get the worst polluters off the road. What emission levels constitute the worst 10% of the vehicles? (Round your answer to four decimal places.)Let a random experiment be the casting of a pair of fair five-sided dice and let X equal the maximum of two outcomes. With reasonable assumptions, find pmf of X. Also, find the mean and variance of X.An average of many different studies of handedness indicate that in a random sample of adults,14percent of men are left-handed and 6 percent of women are left-handed. (Assume the rest are right-handed.) Suppose you have a sample of 250 women and 100 men, in which the numbers of left-handed and right-handed people reflect the average percentages. Make a two-way table that shows the distribution you would find.
- Consider a random variable X that follows a uniform distribution with a= 3 and b = 8 Find the mean value of X?From the data set of a class, a student taking a final exam is random variable with mean equal to 50 and variance is 25. Find an upper bound for the student probability that a student's exam score will between 40 and 60.A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. The test statistic is t ~ 1 .971 , α-005, the corresponding rejection regions are t <-2228 and 〉 2.228, the null hypothesis is Ho Ha0, and the alternative hypothesis is Ha Hd 0. Select all that apply: Reject the null hypothesis that the true mean difference between the height of the father and the height of the son is equal to zero. Fail to reject the null hypothesis that the true mean difference between the height of the father and the height of the son is equal to zero. Based on the results of the hypothesis test,…
- The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 30% of adult Australian sheep dogs weigh 65 pounds (lbs) or more. A sample of 40 adult dogs is studied and follows a binomial distribution. Let X be a binomial random variable that represents the number of adult dogs in the sample who weigh 65 lb or more. a. Find the mean number of dogs in this sample who weigh 65 lb or more. Mean = b. Find the standard deviation of the number of dogs in the sample who weigh 65 lb or more. Round to three places. Standard deviation =Let x be a random variable that represents the pH of CVS brand water. The mean of this x distribution is u = 6.5 pH. A new company wants to sell its water at CVS locations. However, CVS management believes that the new brand will have a mean pH different from the CVS brand water. A random sample of 70 water samples were taken from this new company's water and it was found that the sample mean was 7.2 pH and the sample standard deviation was s = 2.5 pH. Do the data indicate that the new company's water has a mean pH level greater than 6.5, which is the pH of the CVS brand water? Use a 5% significance level. Identify the following in your answer. 1. Identify the null hypothesis Ho and alternate hypothesis H1 for the problem. 2. Identify and test statistic, the p-value and the calculator key used. Test Statistic (t): (Round to three decimal places) = p - value: (Round to four places) = Calculator key used: 3. Identify the significance level and determine if you reject or fail to reject…Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review. Assume Χ is normally distributed. Let x¯x¯ be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews. What causes the probabilities in Exercise 7.3 and Exercise 7.4 to be different?
- Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of nine patients. The effectiveness periods of the tranquilizer for each patient (in hours) were as follows: 2.7, 2.8, 3.0, 2.3, 2.3, 2.2, 2.8, 2.1and 2.4. If the error bound is 0.2444, then the level of confidence interval of the mean is: None of the other options 0.99 0.98 0.95The second moment of a Poisson-distributed random variable is 2. The mean of the random variable is
