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A hydrologist collects a liter of water from each of 80 random locations along a stream and measures the amount of dissolved oxygen in each specimen. Suppose that we know that dissolved oxygen varies among locations according to a normal distribution with mean of 5 milligrams per liter (mg/l) and standard deviation of 0.92. Let be the average oxygen content of the 80 specimens. The observed mean is 4.62 mg/l.
(a) Find the mean and the standard deviation of .
(b) What distribution does follow?
(c) What is the probability that is at most the observed value of 4.62?
Find a function C that gives the total cost incurred by the manufacture of x PDAs. What is the total cost incurred in producing 2000 units/month?
The message is meant to be an array of length n, in which a symbol may be used more than once. Find the density of X and the CDF of X.
problem on percetanges
Indicate, by checking the appropriate box, whether the given points below are on line 1 , on line 2 , on both line 1 and line 2 , or on neither one of the two lines:
Fenced-In Land. A farmer has 100 yd of fencing. What are the dimensions of the largest rectangular pen that the farmer can enclose?
Calculate the critical value
Here is an example of what: In space Reals with the "usual topology.", call it X, the covering A={(-n, inf) | n natural number} of X contains no finite subcollection that covers X.
The cross section of a hill can be approximated by the curve of y = 0.3x - 0.00003x 3from x = 0 to x = 100 m. The top of the hill is level. How high is the hill?
Let xn be a bounded sequence of real numbers. Show that xn has a convergent subsequence.
For the normal distribtion, the mean plus and minus 1.96 standard deviation will include what percent of the observations? What is the formula to calculate the percentage?
The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price p that it charges. The revenue R is given by the following function.
the perimeter of a rectangle is 202 inches the length execeeds the width by 81 inches. what is the length and the width in inches.
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