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Conditional probabilities and independence. Using the information in given Exercise, answer these questions.
(a) Given that a vehicle is imported, what is the conditional probability that it is a light truck?
(b) Are the events "vehicle is a light truck" and "vehicle is imported" independent? Justify your answer.
Exercise Sales of cars and light trucks. Motor vehicles sold to individuals are classified as either cars or light trucks (including SUVs) and as either domestic or imported. In a recent year, 69% of vehicles sold were light trucks, 78% were domestic, and 55% were domestic light trucks. Let A be the event that a vehicle is a car and B the event that it is imported. Write each of the following events in set notation and give its probability.
(a) The vehicle is a light truck.
(b) The vehicle is an imported car.
You are running a chi-squared test. You have 2 groups with 3 characteristics each, what would your critical value be with an alpha of .025?
Describes the selected research issue, problem, or opportunity.
(a) Prove that isomorphic graphs have the same number of vertices. (b) Prove that if f:V(G) -> V(H) is an isomorphism of graphs G and H and if v is an element of V(G), then the degree of v in G equals the degree of f(v) in H. (c) Prove that isomor..
Describe what do you mean by terms 'false positive" and " false negative".
the mean and max 90th percentile elasped time to repair an item is 2.3 hours and 5.4 hour respectively.the time to
Based on the information about typical use, what is the probability that at least 25 of these women become pregnant in the next year? Is the Normal approximation permissible?
Find the mean, median, and mode of the processing times. Interpret the differences between them.- Compute the range, variance, and standard deviation of the processing times and interpret them.
a control chart for fraction nonconforming indicates that the current process average is 0.03. the sample size is
The histogram shows the distribution of the prices of a small, plain pizza (in $) for 156 weeks in Dallas, Texas.- Which summary statistics would you choose to summarize the center and spread in these data? Why?
in a bivariate regression which variable is the dependent variable and which one is the independent variable?what does
It is a common belief that Yellowstone's most famous geyser erupts once an hour at very predictable intervals. The histogram below shows the time gaps between 222 successive eruptions. Describe this distribution.
Supplier B's tires have an average life of 60,000 miles with a standard deviation of 2,000 miles. Which of the following statements is true?
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