Probabilities, Random Variables, and Random Processes: Digital and Analog |
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Page 37
... balls , when 2 balls are drawn without replacement from an urn containing 7 black balls and 5 red balls . SOLUTION ( a ) P ( even number ) == 0.5 . ( b ) There are 256 different 8 - bit words ( or permutations of size 8 ) that can be ...
... balls , when 2 balls are drawn without replacement from an urn containing 7 black balls and 5 red balls . SOLUTION ( a ) P ( even number ) == 0.5 . ( b ) There are 256 different 8 - bit words ( or permutations of size 8 ) that can be ...
Page 52
... balls are drawn without replacement from an urn that contains 10 balls , 7 of which are white and 3 of which are red , find : ( a ) the probability that both balls drawn are white , and ( b ) the probability the first ball is white ...
... balls are drawn without replacement from an urn that contains 10 balls , 7 of which are white and 3 of which are red , find : ( a ) the probability that both balls drawn are white , and ( b ) the probability the first ball is white ...
Page 55
... balls drawn from the urn , set up an appropriate event space and , using part ( a ) , assign probabilities to each point . ( c ) If the sum of the numbers on the balls drawn was 6 , what is the probability that a 2 had been obtained on ...
... balls drawn from the urn , set up an appropriate event space and , using part ( a ) , assign probabilities to each point . ( c ) If the sum of the numbers on the balls drawn was 6 , what is the probability that a 2 had been obtained on ...
Contents
1 | 3 |
5 | 54 |
General Formulation and Solution of Problems | 69 |
Copyright | |
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A₁ autocorrelation function average axiom B₁ balls Chapter convolution correlation integrals cross-correlation cross-correlation function cumulative distribution function dadß defined definition delta function denoted derivation deterministic discrete Fourier transform discrete probability theory discrete random process DRILL SET ensemble ergodic evaluate event space Example finite first-order stationary formula fundamental theorem fxy(a fy(B fz(y given impulse response joint density function joint mass function Laplace transform linear system M₁ member waveform notation obtained otherwise output periodic function periodic waveform permutations plotted in Figure points power spectral density probability measure probability theory problem properties pulse px(a random input random phenomenon range Rxx(T sample description space sampled values second-order stationary set theory shown in Figure shown plotted signal sketch SOLUTION solved statistics Sxx(w Ticket Pays two-sided Laplace transform two-sided z transform typical member X₁ z transform zero-mean