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Using the definition of a measurable function, show that any constant function is measurable.
Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
Create a probability tree showing all marginal, conditional, and joint probabilities.
Q. solve using simplex method, Hence using the sensitivity analysis, find the new optimal solution of the LPP if the availability of the second constraint is changed from 11 to 15
A box contains 4 green, 10 red, 6 yellow, and 5 blue marbles. Four marbles are drawn from the box without replacement. What is the probability that you get one marble of each color?
Important information about Sets, Counting & Probability : Combinations, How many poker hands consist of four clubs and a card of a different suit?
Important information about Mathematics - Probability, A sample contains 4 white balls, 2 green balls and 5 purple balls.
A corporation is considering a new issue of convertible bonds. Management believes that the offer terms will be found attractive by 20% of all its current stockholders. Suppose that this belief is correct. A random sample of 144 current stockholde..
Hypothesis test for population mean
What is the optimal decision? Ken believes that the $300,000 figure for the Sub 100 with a favorable market is too high. How much lower would this figure have to be for Ken to change his decision made in part (b)?
Problem solving on population mean
Solve the problem of Critical Path and PERT. A PERT project has 45 activities, 19 of which are on the critical path. The estimated time for the critical path is 120 days. The sum of all activity variances is 64, while the sum of variances along the..
This assignment has questions related to probabiltiy.
At the [I.CI level of significance, test the claim that the mean eight of women with Turner's syndrome is less than that of the general female population]
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