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Between 12:00 Pm and 1:00 PM, Cars arrive at Citibank's drive-thru at the rate of 6 cars per hour. (0.1 car per minute) The following formula from statistics can be used to determine that a car will arrive within t minutes of 12:00 PM.F(t) =1-e^-0.1r
a. determine how many minutes are needed for the probability to reach 50%b.determine how many minutes are needed for the probability to reach 80%c Is it possible for the probability to reach 100%? Explain.
A traveler owing a gold chain with 7 links is accepted at an inn on condition that he pay one link of the chain for each day he stays. if the traveler is to pay daily and may be given links already used in payment as change
Test at the 5% level of significance.
Solve the problem on discrete distribution.
For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3. It is believed that migrating fish try to minimize the total energy required to swim a fixed distance.
Solving linear programming problem.
Suppose that f: C->C and that f is analytic at a point z0 element of C. Prove that there exists a real number r>0 such that, the nth derivative of z0=[n!/(2 pi r^n)]x[int(e^(-niy)f(z0+re^(iy)) from 0 to 2pi with respect to y for all n element of N..
Important information about Working with conditional probability. The following table shows frequencies for red-green color blindness, where M represents "person is male" and C represents "person is color-blind".
Prove that the set of all onto mapping from A to A is closed under composition of mappings. Prove that the set of all one-to-one mappings from A to A is closed under mapping composition.
How many ways are there to deal hands of seven cards to each of five players from a standard deck of 52 cards? A bagel show has onion, poppy seed, egg, salty, pumpernickel, sesame seed, raisin, and plain bagels. How many ways are there to choose:
Perform the operation and make the result in standard form
The subgroup-intermediate subfield given in the fundamental theorem of Galois Theory,
A regular hexagon is divided into 6 equilateral triangles. he altitude of each triangle is 6cm. What is the perimeter of the hexagon?
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