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Assumptions
The figures known are assumed to be a normal series, that is a series without any violent, unexplained fluctuations in the values. The period intervening the points of known data and the point for which an estimate is required is also considered to be a normal period.
For instance, when we require the interpolation of the population figure for the year 1985, we assume that between 1981 and 1985 there have been no cause for sudden jumps or declines in population such as war, flood, famine, cyclone and the like.
It is also presumed that the increases and decreases take place only at a uniform rate.
For instance, if the population in 1981, was 700 million and in 1991, 850 million, it is assumed that the accretion to the population has taken place at a steady growth rate.
Smith keeps track of poor work. Often on afternoon it is 5%. If he checks 300 of 7500 instruments what is probability he will find less than 20 substandard?
5 2 --- - --- x-1 x+1
a man buy car at rs.50 and sells it at gain of 14% find the sp
1. Show that there do not exist integers x and y for which 110x + 315y = 12. 2. If a and b are odd integers, prove that a 2 +b 2 is divisible by 2 but is NOT divisible by 4. H
Find out the next number in the subsequent pattern. 320, 160, 80, 40, . . . Each number is divided by 2 to find out the next number; 40 ÷ 2 = 20. Twenty is the next number.
For each of these arguments determine whether the argument is correct or incorrect and explain why. a) Everyone enrolled in the university has lived in a dormitory. Mia has never l
The height of a rectangle is 20 cm. The diagonal is 8 cm more than the length. Determine the length of the rectangle. a. 20 b. 23 c. 22 d. 21 d. To determine the len
1. Consider a source with 4 symbols {a,b,c,d}. The probability of the 4 symbols are P(a)=0.4, p(b) = 0.1, p(c)=0.2, p(d)= 0.3. a. Design a Huffman codebook for these symbols.
Suppose research on three major cell phones companies revealed the following transition matrix for the probability that a person with one cell phone carrier switches to another.
What percent of the figure below is shaded? Break the rectangle into eighths as shown below. The shaded part is 6/8 or 3/4 ; 3/4 is 75%.
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