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Suppose that the amount of time that a battery functions is a normal random variable with a mean of 400 hours and a standard deviation of 50 hours. If two batteries are randomly picked with the intention of using one as a spare to replace the other if it fails, (a) what is the probability that the total life of both batteries will exceed 760 hours? (b) what is the probability that the second battery will outlive the first by at least 25 hours?
Calculate the yield of a wafer with a 15 cm diameter, a cost of 12, contains 84 dies and has a 0.020 defects/cm^2
Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?
Determine whether the given ordered pair is a solution of the system. Solve each system by substitution method
Matrix of transition probabilities. The daily price of a farm commodity is up, down, or unchanged from the day before. Analysts predict that if the last price was down, there is a .5 probability the next will be down,
Construct a computer simulation model to keep track of the cash flow
Compare and contrast permutations and distinguishable permutations. Provide a formula for each and state the fundamental counting principle and explain it in your own words.
In your own words, explain the difference between intersecting and perpendicular lines. Can two lines exist that are not intersecting or parallel? Explain your answer.
Undergraduate senior level Real Analysis. Please show me formal math proofs. Give an example of a binary relation which is
The base of a solid is a circular disk with radius 7. Parallel cross sections perpendicular to the base are squares. Find the volume of the solid.
Suppose that E is a normed linear space, and C is a subset. Prove that C is weakly bounded if and only if C is norm bounded. Conclude that weakly convergent sequences in E are bounded.
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)?
Find a bijective conformal mapping that takes a bounded region to an unbounded region. Prove that a conformal map cannot take a simply connected region onto a region that is not simply connected.
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