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Determine that in a Boolean algebra, for any a and b, (a Λ b) V (a Λ b' ) = a. Ans: This can be proved either by using the distributive property of join over meet (or of mee
In a digital filter, one of the parameters in its difference equation is given by the formula a) Show that the above formula has one horizontal and one vertical asymptote.
A plastic manufacturer has 1200 boxes of transparent wrap in stock at one factory and 1000 boxes at his second factory.The manufacturer has order for this product from 3 different
A certain flight arrives on time 78% of the time. Suppose 1000 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that a)
Adison earned $25 mowing her neighbor''s lawn. Then she loaned her friend $18, and got $50 from her grandmother for her birthday. She now has $86. How much money did Adison have to
In the innovations algorithm, show that for each n = 2, the innovation Xn - ˆXn is uncorrelated with X1, . . . , Xn-1. Conclude that Xn - ˆXn is uncorrelated with the innovations X
Calculate the mean, variance & standard deviation of the number of heads in a simultaneous toss of three coins. SOLUTION: Let X denotes the number of heads in a simu
f(x)+f(x+1/2) =1 f(x)=1-f(x+1/2) 0∫2f(x)dx=0∫21-f(x+1/2)dx 0∫2f(x)dx=2-0∫2f(x+1/2)dx take (x+1/2)=v dx=dv 0∫2f(v)dv=2-0∫2f(v)dv 2(0∫2f(v)dv)=2 0∫2f(v)dv=1 0∫2f(x)dx=1
Stratified sampling In stratified sampling case the population is divided into groups in such a way that units in each group are as same as possible in a process called strati
Three quantities a, b and c are said to be in harmonic progression if, In this case we observe that we have to consider three terms in o
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