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At a dog park, 35% of dogs are purebred and the rest are mixed breeds. 40% of the dogs are aggressive. At the same time we know that 75% of the purebred dogs are aggressive in their encounters with any other dog.
a) What is the probability that an aggressive dog is pure-bred?
b) What is the probability that a mixed breed dog is not aggressive?
What is the probability that more than one machine is in the system? Probability that more than two are broken and waiting to be repaired or being serviced? More than three? More than four?
A unit for a telecommmunication system is to be designed so that the probability that it fails during a period of five years does not exceed 0.4. the unit is to be made up of (n) effectively identical componants each with an exponential failure di..
If 20 measurements are taken and their standard deviation is 1.8, is there enough evidence to reject the claim that her standard deviation is within the limit at ∞ = .01?
A researcher would like to evaluate the relationship between a person's age and their preference between two leading cola brands.
If Y follows a Beta(a; b) distribution, then we know that E(Y ) = mu = a/(a + b) and Var(Y ) = sigma^2 = ab/((a + b)^2(a + b + 1)) This gives us mu and sigma^2 in terms of a and b. Derive equations for a and b in terms of mu and sigma^2
Compute mean, standard deviation, coefficient of variation and 5 key percentiles for these data.
Give an example of how to use a t-test to analyze the data from the Table of Variables and list the grouping variable and continuous variable that you would include in the analysis
What fraction of the calls last between 4.2 and 5 minutes?
If they find a significant increase in the proportion of items that must be rejected, they will halt the assembly process until the problem can be identified and repaired.
Establish an approximate design to MTBF required for a system that will result in an approximate minimum total cost over a five year period if the system is to be operated 7500 hours per year
a mineral economist estimated that a particular mining venture had probability 0.4 of a 30 million loss probability 0.5
rc-cars purchases batteries which they include with their remote control cars for sale to the consumer. bill the owner
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