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1. (Sudden death) The NHL has another season-long strike, but the owners and players reach an agreement in June which leaves time for a highly abbreviated season. They decide that fans want to see the Stanley Cup decided, and so they play only a sudden-death version of the seventh game of the final round of the playoffs. Here are the rules:
In each round, Montreal and Boston each take two penalty shots. If one team makes more goals than the other, it wins the Stanley Cup. Otherwise another round is played. This continues until there is a winner. All shots are independent, but Montreal has a probability 2/3 of scoring a goal on an individual penalty shot, while Boston has a probability of only 1/2 .
(a) Denote by P(M) the probability that Montreal wins the Cup. This is also the conditional probability that they win the Cup, given that the first round was inconclusive. Use this insight to set up and solve an equation for P(M).
(b) Event A is "the Cup was decided on the first round;" event M is "Montreal won the Cup." Are these events independent? If not,what is P(M|A)?
Assume that a random sample of 40 mechanics is selected and the mean rebuild time of the sample is computed. Assuming the mean times are normally distributed, what percentage of sample means are greater than 7.7 hours?
Find each value requested for the distribution of scores in following table. For the following scores the lowest value is x=13 place the scores in a frequency distribution table using.
The kinds of statistical methods that were used to formulate the author's argument.
there is concern about the percent of on-time flights. a recent survey of two major airlines yielded the following
a doctor studies the side effects of a drug on male and female. following data was obtained for a random sample of 300
They also send the upper 2.5% directly to the company without an interview. Based on the data the assumption of a bell-shaped distribution, what score should be used for the two cutoffs?
A two-way ANOVA model was used to analyze an experiment with two levels of one factor, three levels of a second factor, and 6 observations per treatment combination.
a sample of 145 values is randomly selected from a population with mean equal to 43 and standard deviation equal to 19.
Among 500 freshmen pursuing a business degree at a university, 347 are enrolled in an economics course, 204 are enrolled in a mathematics course, and 160 are enrolled in both an economics and a mathematics course.
question considerthedataset123456789a. obtainthemeanandthemedianofthedata. whatistheshapeofthe distribution?b.
Obtain b0 and b1 of the regression equation defined as y ^ = b0 + b1X and the coefficient of determination (r2) from the Excel regression output. Draw the fitted regression line on the scatter diagram.
A box contains 3 blue marbles and two red marbles. If two marbles are drawn randomly and without replacement, find the probability that (a) at least one of the marbles is blue
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