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We denote by N(t) the number of failures of a machine in the interval [0, t]. We suppose that N(0) = 0 and that the time τ0 until the first failure has a uniform distribution on the interval (0,1]. Similarly, the time τk-1 between the {k -l)st and the kth failure has a U(0,1] distribution, for k: = 2 , 3 , . . . . Finally, we assume that τo , τ1 , . . . are independent random variables.
two instruments are used to measure the height h of a tower. the error made by the less accurate instrument is normally
Deriving Auction from -Relaxation) Consider the assignment problem formulated as a minimum cost flow problem We say that source i is assigned to sink j if (i, j) has positive flow.
(a) What is the probability that this person is doing daily exercise? (b) What is the probability that this person is doing daily exercise if we know that this person is a male?
A study of vehicle flow characteristics on acceleration lanes found that one out of every six vehicles uses less than 1/3 of the acceleration lane before merging into the traffic.
Employee salaries at a certain company are normally distributed with a mean salary of $59000 and a standard deviation of $7100 1. Find the z-score for a salary of $70400
Explain why odds of 4 to 5 in favour of an event occurring have a different meaning than the same event having a probability of 4/5.
4 prizes of $350, & 1 prize of $1000. Assume that 15,000 lottery tickets are issued and sold for $1.00. What is the lottery's expected profit per ticket?
How large sample size must be taken to be 95% confident.
An experiment was conducted to determine the effects of three different pesticides (P1,P2,P3) on the yield of three different varieties of citrus tree (V1,V2,V3).
Among 9 electrical components exactly one is known not to function properly. If 3 components are randomly selected, find the probability that all selected components function properly.
in a jury trial there are 12 jurors. in order for a defendant to be convicted at least 8 of the 12 jurors must vote
You are using exponential smoothing to obtain monthly forecasts of the sales of a certain product. The forecast for last month was 2,083, and then the actual sales turned out to be 1,973. Obtain the forecast for next month for each of the followin..
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