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Let A, B, and C be independent random variables, uniformly distributed over [0,7 ], [0,8], and [0,3] respectively. What is the probability that both roots of the equation Ax^2 + Bx + C = 0 are real?
Find the sample space for the number of outcomes (you don't need to list the possible outcomes, just how many possible outcomes there are).
Assume you are the manager of a paint manufacturing factory. Your company has received complaints from customers that the containers hold less than the amount printed on them.
the life span of a battery is normally distributed with a mean of 2500 hours and at percent of batteries have a life
A manufacturer of batteries offers a two-year limited warranty. If the battery fails for any reason during the first two years, it is replaced. What percentage of the batteries is expected to fail within the warranty period?
Formulate a linear programming model for this problem.
A researcher is interested in determining the partial correlation between age (X) and attitude towards interracial marriage (X), controlling for place of residence (rural or urban) (W).
a nursing school wants to estimate the true mean annual income of its alumni. it randomly samples 120 of its alumni.
Calculate the sample statistics and determine whether there is evidence that the mean blackness is less than 0.97. Write a memo to management that summarizes your conclusions.
If the researchers test 95- newborns for the presence of this gene, would it be unlikely for them to find fewer than 25 children with the gene?
The Department of Motor Vehicles (DMV) can service customers at a rate of 20 per hour (or 1/3 per minute) when it comes to license renewals. The service time follows an exponential distribution. What is the probability that it will take between..
Does the sample provide sufficient evidence that the mean pH level in the water differs from 8.5? Conduct a test at the ? = .01 level
the number of spam emails received each day follows a poisson distribution with a mean of 50. approximate the following
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