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The level of nitrogen oxides in the exhaust of cars of a particular model varies normally with a mean of 0.2 grams per mile (g/mi) and a standard deviation of 0.05 g/mi. Government regulations call for nitrogen oxide emissions no higher than 0.4g/mi.
a)What is the probability that a single car of this model fails to meet the nitrogen emissions regulations
b) a company has 25 cars of this model. What is the probability that the mean nitrogen oxide emissions of these cars is above the 0.3g/mi limit?
Suppose we randomly select two students from a mathematics class and asked whether the student selected each time is a member of a math-club or not. Write all the outcomes for this experiment. Draw the Venn and Tree diagrams for this experiment.
The random variable x is the number of houses sold by a realtor in a single month at the real-estate office. Its probability distribution is:
When is a factorial ANOVA used? Give Example. When is a chi square test appropriate? Give Example. When does linear regression versus multiple regression apply? Give Example.
Assume X is an exponential random variable with parameter lambda. Find the method of moments estimator for lambda.
Suppose in a population of 100,000, the probability that an individual will die from bird flu in a given winter is .00009. If the data fits a Poisson distribution, then the mean number of people in that population that will die from bird flu in on..
A wildlife biologist wants to do a test to see if there is a genetic trait linked to industrial toxins. Previous research says the trait is usually found in one out of every thirty frogs.
Suppose a reading between 30 and 40 is called very interesting from an archaeological point of view. Let us say you take readings at n=12 sites chosen at random.
At least 14 units of B and no more than 20 units of A must be used. Each unit of A weighs 5 kg and each unit of B weighs 10 kg. How many units of each type of raw material requires?
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 175 and a standard deviation of 15. If an applicant is randomly selected, find the probability of a rating that is between 150 and 200.
The following regression equation and correlation coefficient were calculated using minitab for the bivariate data age of men and their weight.
Give a variable that could be used to stratify the population for each of the following studies. List at least four subcategories for each variable.
Compute the skewness for your data set using Pearson's
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