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Love Stinks? J. Fetto, in the article “Love Stinks” (American Demographics, Vol. 25, No. 1, pp. 10–11), reports that Americans split with their significant other for many reasons—including indiscretion, infidelity, and simply “growing apart.” According to the article, 35% of American adults have experienced a breakup at least once during the last 10 years. Of nine randomly selected American adults, find the probability that the number, X, who have experienced a breakup at least once during the last 10 years is
a. exactly five; at most five; at least five.
b. at least one; at most one.
c. between six and eight, inclusive.
d. Determine the probability distribution of the random variable X.
e. Strictly speaking, why is the probability distribution that you obtained in part (d) only approximately correct? What is the exact distribution called?
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d. Determine the
d. Determine the
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- Matrimony Monthly is a top-selling magazine that provides information for couples thinking about marriage. Over the years, writers for the magazine have researched just about everything there is to research about weddings. The popular conception at the magazine has been that roughly 50% of first weddings take place indoors in a church, 30% take place indoors in a building other than a church, and 20% take place outdoors This past week, the magazine examined a random sample of 240 first weddings and found the distribution given by the first row of numbers in the table below. (This row contains the frequencies observed in their sample of 240.) The second row of numbers gives the frequencies expected under the hypothesis that the popular conception at the magazine is correct. The bottom row of numbers contains the following value fo each of the wedding location categories. (Observed frequency - Expected frequency ) fE Expected frequency Part 1 Fill in the missing values in the table.…arrow_forward29 percent of all Samsung cell phones are submitted for service while under warranty. Of these, 66 percent can be repaired, whereas the other 34 percent must be replaced with new units. If a company purchases 12 Samsung cell phones, what is the probability that exactly 2 will end up being replaced under warranty? What would the mean number of cell phones being replaced under warranty be? What would be the variance be for the cell phones being replaced by warranty?.arrow_forwardIn June 2015, Gallup conducted a poll of a random sample of 14,683 adults to determine the well-being of people living in the United States. One question asked, "Did you exercise at least 30 minutes for 3 or more days in the past week?" In the survey, 58.9% of males and 52.7% of females responded yes to this question. Which of the following is true about this scenario? A. O 58.9% and 52.7% are both parameters. B. O 58.9% and 52.7% are both statistics. C. If we took another random sample of 14,683 adults, we would expect to get the exact same results.arrow_forward
- In an article that appears on a website,† Carlton Gunn, a public defender in Seattle, Washington, wrote about how he uses statistics in his work as an attorney. He states the following. I personally have used statistics in trying to challenge the reliability of drug testing results. Suppose the chance of a mistake in the taking and processing of a urine sample for a drug test is just 1 in 100. And your client has a "dirty" (i.e., positive) test result. Only a 1 in 100 chance that it could be wrong? Not necessarily. If the vast majority of all tests given—say 99 in 100—are truly clean, then you get one false dirty and one true dirty in every 100 tests, so that half of the dirty tests are false. Define the following events as given below. TD = event that the test result is dirty TC = event that the test result is clean D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, compute the following…arrow_forwardBased on data from AMSC Online Instruction project, 77% of adult learners use social network sites. If two adult learners are randomly selected, what is the probability that they use social networkarrow_forwardAccording to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. Calculate the statistic for this sample. Calculate the standard error for this sample. Verify that we can use a normal distribution for this sample. By hand calculate a 90% confidence interval for the proportion of all students at this college that engage in binge drinking. Show all work. Interpret the results of your confidence interval in the context of the…arrow_forward
- 46% of all statistics classes require an advanced calculator and 38% require the use of a computer that has statistical software. Of the classes that require an advanced calculator, 18% also require the use of a computer. If a statistics course is selected at random find A. P(Advanced Calculator) = [ Select ] ["0.57", "0.38", "0.18", "0.46"] B. P(Statistical Software) = [ Select ] ["0.38", "0.57", "0.46", "0.18"] C. P(Require an Advanced Calculator and Statistical Software) = [ Select ] ["0.1259", "0.1748", "0.0828", "0.8335"] D. P(Require an Advanced Calculator GIVEN Require Statistical Software) = [ Select ] ["0.3515", "0.18", "0.2184", "0.9716"]arrow_forwardA study was conducted in Thailand to study the association between Vitamin A deficiency and death among children with measles. A summary of their data is provided below. Which of the following statements is true? Died Did not die Have Vitamin deficiency 20 20 Do not have vitamin deficiency 25 100 Those without vitamin D deficiency are more likely to die than those with Vitamin D deficiency There is no association between Vitamin D deficiency and death Those with Vitamin D deficiency are more likely to die than those without Vitamin D deficiency None of these answers are coarrow_forwarda. What is the probability of seeing positive change? b. What is the probability of seeing positive change given that the tree is oak? c. Do the data suggest effect and tree type are independent events? yes or noarrow_forward
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