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Let p >0 be the probability that any particular code symbol is erroneously transmitted trough a communication system. Assume than on different symbols errors occur independently of one another. Suppose that with probability q an erroneous symbol is corrected upon receipt. If X denotes the number of correct symbols in a message consisting of a total of n symbols after the correction process has been completed. 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.
A survey of 398 children given at a local elementary school showed that 175 like chocolate ice cream, 225 like pistachio ice cream, and 123 do not like chocolate or pistachio ice cream. How many children like at most one kind of ice cream mentione..
The name of a variable in the C programming language is a string that can contain uppercase letters, lowercase letters, digits, or underscores. Further, the first character in the string must be a letter, either uppercase or lowercase, or an under..
Three workers sort 66 boxes in a day. One of the workers is three times more productive than the second worker and twice as productive as the third worker. How many boxes did the second most productive worker sort?
A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. Prove the following:
solve equation radio the instructor has learned that for the 30 students in her afternoon class, the radio of student who do not own a computer to those who do is 2 to 1. how many students in the class own their own computer?
The base of an aquarium with volume V = 215 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Write a recursice algorithm to find x^n mod m whenever n,x and m are positive integers based on the fact that : x^n mod m = (x^(x-1) mod m * x mod m)mod m
Show that ~ is an equivalence on M and if a* deontes the equivalence class of a, let M* = {a*| a belongs to M} denote the set of all equivalence classes. Show that a*b* = (ab)* is a well-defined operation on M* deontes.
Explain how the temperature difference between the poles and the equator drives the motion of the oceans and atmosphere. What are the differences between ice caps and glaciers?
Solve the following LP problem graphically using Excel, Solve the following LP problem graphically using Excel with the computations in the cells
a printing press has a roller 22 inches in diameter. A point on the roller's surface moves at a speed of 109 feet per second. What is the roller's angular speed?
In a mechanical system, the displacement of a body, s meters, is related to time t seconds, by the integral: Determine an expression in terms of r and k, for the time taken by the body to travel a distance g/k meters from its initial position.
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