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Suppose there are two tellers at a bank and each takes an exponential length of time with parameter 1/2 to serve a customer. All the service times are independent. Tom and Ruth show up at the bank and find one teller is helping Alan, the other is helping Betty, and no one else is waiting. What is the expected length of time before Alan, Betty, Tom, and Ruth are all finished.
ased upon statistical studies it has been found that 3.32% of all births in the United States will result in twins being born. If 17,300 births are selected at random what is the probability that: Find the Probability of Twin Births
Show that if a convergent series of real numbers contains only a finite number of negative terms, then it is absolutely convergent.
Explain Probability of birthdays. Are your best friends' birthdays dependent or independent events?
Consider the set of points (x, y, z) defined by the set of equations below: Find a 2 x 3 system of linear equations having this set of points as its solution set.
The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per second, how far will the car travel in one minute?
Let U = {60 Minutes, American Idol-Tues., American Idol-Wed., CSI, CSI: Miami, Desperate Housewives, Friends, Grey's Anatomy, Law & Order, The Apprentice}. Construct a Venn diagram illustrating the sets.
A rectangular park measures 300 ft. by 400 ft. A sidewalk runs diagonally from one corner to the opposite corner. Find the length of the sidewalk.
Imagine yourself at a fair playing one of the midway games. Pick a game and calculate the expected value and post your results along with how you calculated them.
The sleepers of a railway track which is turning round a bend of radius 60m are banked so that a train traveling at 40 km/hr exerts no lateral force on the rails. Find the lateral force exerted on the rails by an engine of mass 10^5 kg when travel..
A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag
the hights in inches of six trees in a nursery were 67,58,60,70,73, and 65. find the standard deviation and round your answer to two decimal places.
Suppose that X and Y are continuous random variables with joint pdf (probability distribution function). Please give step-by-step process for solving the following problem.
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