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The opponents of soccer team A are of two types: either they are a class 1 or a class 2 team. The number of goals team A scores against a class i opponent is a Poisson random variable with mean λi , where λ1 = 2, λ2 = 3. This weekend the team has two games against teams they are not very familiar with. Assuming that the ?rst team they play is a class 1 team with probability 0.6 and the second is, independently of the class of the ?rst team, a class 1 team with probability 0.3, determine
(a) the expected number of goals team A will score this weekend.
(b) the probability that team A will score a total of ?ve goals.
The gross weekly sales at a certain used-car lot are normal with mean $18,800 and standard deviation $9000. (a) What is the probability that next week's sales exceed $20,000?
researchers at the university of california-berkeley have designed built and tested a switched-capacitor circuit for
Assume gasoline prices for a region are normally distributed. do the data you obtain provide enough evidence to reject the claim? use 1% level of significance.
Using ANOVA summary table, find out if regression model is significant.
Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.
A study of 200 commercial firms revealed the data below. What is the probability that a particular firm will have $1 million or more in income after taxes?
Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
Is it reasonable to conclude that the distribution is normally distributed with a mean of $10 and a standard deviation of $2? Use the .05 significance level.
The population variances are 4.6 and 5.0 respectively. Using a level of significance of .05, is there evidence that the dual degree students are receiving lower grades?
The proportion of left handers is 0.10. What is the number of left handers in the sample and what notation is given to that number?
The heights of 10 sixth graders are listed in inches: {53, 61, 54, 60, 58, 62, 55, 58, 59, 56}. Find the mean, median, mode, sample variance, and range.
Scores on a test are normally distributed with a mean of 60.9 and a standard deviation of 12. Find P81, which separates the bottom 81% from the top 19%.
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