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Random Selection of Answers on a Multiple-choice Test.
Beth is taking a ten-question multiple-choice test for which each question has three answer choices, only one of which is correct. Beth decides on answers by rolling a fair die and marking the first answer choice if the die shows 1 or 2, the second if it shows 3 or 4, and the third if it shows 5 or 6. Find the probability of each event.
(a) exactly four correct answers
(b) fewer than three correct answers
Normally distributed with a mean of 48.06 pounds and a standard deviation of 3.57 pounds. Let X represent the weight of a randomly selected bag. For what value of c is P(E(X) - c
What is the standard error of the average house price for a sample of 133 houses? (Use 4 decimals.)
What is the probability of failing math only (that is, you fail math but pass history)?
Calculate the maximum bending stress in a W530×101 steel beam that spans 13 m on simple supports and supports two equal concentrated loads of 54 kN each.
A school has 200 seniors of whom 140 will be going to college next year. Forty will be going directly to work. The remainder are taking a gap year.
The consequences of the central limit theorem is that if we end up averaging the measurements of a particular quantity, the distribution of an average tends on going toward a normal one?
For 455 individuals age 45-54, the corresponding percentage was 34%. At the 0.01 level, can we reject the possibility that the population percentages could be equal for these two groups?
Tweleve 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?
A medical investigator wanted to test the claim that taking a multivitamin capsule with extra amounts of vitamin C would reduce the frequency of common colds.
Suppose a national polling agency conducted 100 polls in a year, using proper random sampling, and reported a 95% confidence interval for each poll.
Alcohol abuse. Growing concern about binge drinking among college students has prompted one large state university to conduct a survey to assess the size.
What is the probability that an employee selected at random will need either corrective shoes or major dental work?
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