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Consider the k-out-of-n system (explanation: a system consists of n independent components. Each component functions with probability p. The system as a whole functions if at least k components are functioning (1 <= k <= n)). Suppose we visit this system at time t=3 and replace all failed components, at a cost of $75 each. If the system has failed, it costs us an additional $1000. Compute the expected total cost incurred at time 3.
An urn contains w white chips, b black chips, and r red chips. The chips are drawn out at random, one at a time, with replacement. What is the probability that a white appears before a red?
we must be able to assign a probability distribution or probability function to the random variable X. So, what is the distribution of X when X ~ bin(n, p)?
A nationwide sample of influential Republicans and Democrats was asked as part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur-coal could be burned in coal fired power plants.
a box contains 20 dvds 4 of which are defective. if two dvds are selected at random without replacement from this box
The probability that a claim is filed in a given year is 0.05, independently of preceding years. What is the PMF of the total premium paid up to and including the year when the first claim is filed?
suppose that pa 0.4 and pacapb 0.12a find pbab are the events a and b mutually exclusive?if pb 0.3 are events a and
let x be a discrete random variable that is uniform over the set of integers in the range ab where a and b are given
What are its classes? What are their periods? Are they transient or recurrent? Compute the transition probabilities Pi,j .
To test there is significant difference among the mean of income using ANOVA. A developer of real estate is considering investing in a shopping mall on the outskirts of Atlanta, Georgia.
How many ways can a Math Club schedule 4 speakers for 4 different meetings if they are all available on any of 6 possible dates?
in the new dunn zone at waldo stadium the university has decided to run a promotion to increase student attendance. for
the claim is the proportion of peas with yellow pods is equal to 0.25 or 25. the sample statistics from one experiment
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