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Weary of the low turnout in student elections, a college administration decides to choose an SRS of three students to form an advisory board that represents student opinion. Suppose that 40% of all students oppose the use of student fees to fund student interest groups, and that the opinions of the three students on the board are independent. Then the probability is 0.4 that each opposes the funding of interest groups.
(a)Call the three students A, B, and C. What is the probability that A and B support funding and C opposes it?(b)List all possible combinations of opinions that can be held by students A, B, and C. (Hint: There are eight possibilities.) Then give the probability of each of these outcomes. Note that they are not equally likely.(c)Let the random variable X be the number of student representatives who oppose the funding of interest groups. Give the probability distribution of X.(d)Express the event "a majority of the advisory board opposes funding" in terms of X and find its probability.
what is the probability that the sample mean will be at least 1000? Do you need to use the central limit theorism to answer this question? explain.
Use this information to set up a 90 percent confidence interval for the proportion, p of all US workers who play hooky.
An American Society of Investors Survey found that 30% of individuals have used a discount broker. In a random sample of 9 individuals, what is the probability That:
If two voters are randomly selected for a telephone survey, what is the probability that they one is a Republican followed by a Democrat? Round your answer to 4 decimal places.
A new-car dealer is leasing various brand-new models for the monthly rates(in dollars) listed below. Estimate the true population variance and standard deviation in leasing rate with 90% confidence.
How does the percentage likelihood of a successful negotiation change over the course of time? Use the statistical data to inform the plan and the course of action the department will take in this hostage situation.
Is there enough evidence to believe that the average credit card debt has increased? Use a=0.05. Give a possible reason as to why or why not the debt was increased.
Use value you found in part a to find out degree of confidence for interval 65.65
Indicate at which point flat-of-the-curve medicine is experienced in the following example (imagine that antibiotics have been prescribed for a given population of 1,000 elderly persons).
For the samples summarized below, test the hypothesis that the two variances are equal, at α = 0.05
Twelve cases of leukemia are reported in people living in a particular census tract over a 5-year period. Is this number of cases abnormal if only 6.7 cases would be expected based on national cancer-incidence rates?
We are interested in a 95% confidence interval for the population mean score. The margin of error associated with the confidence interval is?
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