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The average length of life of a brand of light bulb is 2000 hours with a population standard deviation of 120. A sample of 100 light bulbs is to be taken. What is the probability of the sample mean
A population has a mean of 2200 and a standard deviation of of 400. Taking a random sample of size 100 from this population, the standard error of the mean would equal
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 43% chance that she will fail the course if she does not have a tutor. With a
Based on the sample's results, what is the best point estimate of average annual coffee consumption for Danish coffee drinkers? Develop and interpret a 90% confidence interval estimate for the mean an
The time required to assemble an electronic component is normally distributed with a mean and standard deviation of 16 minutes and 8 minutes, respectively.
An urn contains 4 red and 6 blue balls. Suppose that 8 balls are selected at random and with replacement. What is the probability that the first 6 are red and the rest are blue?
In a tire factor, the quality control inspector examines a randomly chosen sample of 16 tires. When more than one defective tire is found, production is halted, the existing tires are recycled, and
In a survey of undergraduate library usage, it was found that 76% of seniors, 59% of juniors, 50% of sophomores, and 28% of freshmen use the library frequently. Suppose that 17% of the undergraduate
The same test is used in another country, and it is found that 25% of a sample population tests positive. If we assume this sample is representative, what fraction of the population has the disease?
Urn A has 12 white and 16 red balls. Urn B has 3 white and 8 red balls. We flip a fair coin. If the oucome is heads, then a ball from urn A is selected, whereas if the oucome is tails, then a ball
What is the probability that a randomly selected family owns both a dog and a cat? What is the conditional probability that a randomly selected family owns a dog given that it doesn't own a cat?
A certain brand of candies have a mean weight of 0.8617 g and a stand deviation of 0.0521, based on a sample of a package containing 442 candies. The package label stated that the net weight is 377.
Which of the following is a valid objective function for a linear programming problem?
A battery manufacturer claims that the lifetime of certain type of battery is normal with population mean of 50 hours and a standard deviation of 4 hours.. Let X( has bar on on top) be the mean life
Use the following problem to determine the binding constraints for the optimal solution. MAX P = 30X + 40Y
When alternate optimal solutions exist in an LP problem, then The problem will also be unbounded
Sums and Linear combinations of normal random variables are also normally distuributed. Suppose W, X and Y are independent normal random variables.
A linear program has been solved and sensitivity analysis has been performed. The ranges for the objective function coefficients have been found. For the profit on X, the upper bound is 80, the lowe
A machine produces 1000 rubber 0=rings per hour. Each ring has a .9 probability of meeting a thickness specification.
If we have no information about the proportion of votes that either candidate received, determine the sample size necessary to be 95% confident that the error will be within 4 percentage points.
A light fixture contains 2 light bulbs. The lifetime Xi of each bulb is exponentially distributed with a mean of 200 hours, i= 1,2,3. Suppose bulb lifetimes are independent from one another. Let T e
A light fixture contains 2 light bulbs. The lifetime Xi of each bulb is exponentially distributed with a mean of 200 hours, i= 1,2,3. Suppose bulb lifetimes are independent from one another. Let T
Suppose X is a normal random variable with expected value 7 and standard deviation 3. Then calculate the following porbabilities.
What is the critical value of z in the previous question? Report the critical value CLOSEST to your calculated z-score. (Answer to 2 decimal places.)