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A lot contains 15 castings from a local supplier and 25 castings from a supplier in the next state. Two castings are selected randomly, without replacement, from the lot of 40. Let A be the event that the first casting selected is from the local supplier, and let B denote the event that the second casting is selected from the local supplier. Determine:
(a) P (A)(b) P (B|A)(c) P (A ∩ B)(D) P (A U B)
r. Patton is a professor of English. Recently she counted the number of misspelled words in a group of student essays. She noted the distribution of misspelled words per essay followed the normal distribution with a standard deviation of 2.44 word..
A random sample of 225 SAT scores has a mean of 1522. Assume that SAT scores have a population standard deviation of 300. construct a 95% confidence interval estimate of the mean SAT scores.
Suppose the weight of a product is normally distributed with a mean of 1.5 and a variance of 0.2. What percentage of products will have weights within +/- 3 standard deviations? Critically discuss the lower and upper limits bounding 50% of product we..
The rest have no opinion. Suppose that a sample of 100 American adults is quizzed on the subject. What is the probability of the following events?
Consider a large population of families with three children each. If the genders of children in any family are independent of one another, the number of male children in any family will have a binomial distribution based on three trials.
The following study was developed by Economist Simon Fass. Fass surveyed a sample population of low-income households in St. Martin. The variables analyzed were monthly income per adult and choice of rental contract for housing.
The times it takes workers to complete a task at a certain assembly plant are normally distributed with mean = 10 minutes and standard deviation = 2 minutes.
A researcher has a series of Likert-scale items and a measure of frequency of absenteeism. He uses each of the Likert-scaled items in a separate bivariate correlation with absenteeism without testing for the assumptions of linear relationships. Is th..
A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it.
Suppose that 50% of all people are opposed, evaluate probability of getting at least 89% opposed in survey of 1012 randomly selected people.
Point is uniformly distributed in the unit sphere in three dimensions. a) Determine the marginal densities of the x, y, and z coordinates.
Find a 99% confidence interval for the mean pH in rainfall and interpret the interval and what assumption must be made for the confidence interval to be valid?
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