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A mixed group: means. A group of 20 children at a nursery school are exposed to whooping cough by playing with an infected child. Of these children 17 have been vaccinated and 3 have not.
(a) What is the distribution of the number of new infections among the 17 vaccinated children? What is the mean number of new infections?
(b) What is the distribution of the number of new infections among the 3 unvaccinated children? What is the mean number of new infections?
(c) Add your means from parts (a) and (b). This is the mean number of new infections among all 20 exposed children.
Give all relative maxima and minima and when they occur on the interval. Give the absolute maxima and minima and when they occur on the interval. Interpret your results.
Use this interpretation to find the cost of painting (one side of) a fence built above the path γ{t) = (10 cos3t/, 10 sin3t), t ∈ [0, π/2], with height f(x, y) = 1 + y/3.
The remaining three sides are to be enclosed with a protective fence. If there are 12 km of fence available, find the dimension of the rectangle to maximize the area of the sanctuary.
In mountain communities, helicopters drop chemical retardants over areas which approximate the shape of an isosceles triangle having a vertex angle of 38 degrees. The angle is included by two sides, each measuring 20 ft.
Find the Taylor series at x = 0 of the given function. Use suitable operations (differentiation, substitution, etc.) on the Taylor series at x = 0 of 1/(1 - x).
Using the equation from number 12, if you have a budget of 300.00 dollars for this job, what is the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.
A group of investors wants to develop a chain of fast-food restaurants. In determining potential costs for each facility, they must consider, among other expenses, the average monthly electric bill. They decide to sample some fast-food restaurants..
Suppose you want to carry on a bag whose length is twice its height. What is the largest volume bag of this shape that you can carry on a flight?
Joshua, a merchant, promises in a signed writing to Pedro, a consumer, to hold an offer to sell goods open for five months. However, Joshua sells the goods to another consumer and Pedro sues him for breach of contract. Which of the following is tr..
Sam has a total of 58 DVD's and CD's. If the number of CD's is two more than three times the number of DVD's, how many CD's does he have?
A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
It took Thomas 4 hours to drive uphill to a ski resort. Coming downhill on the way back, his speed was 15 mi/h faster, and the trip took only 3 hours. What was his speed each way?
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