mont4e_sm_ch03_sec06 - 3-60. E (cX ) = cxf ( x) = c xf ( x)...

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Section 3-6 3-61. A binomial distribution is based on independent trials with two outcomes and a constant probability of success on each trial. a) reasonable b) independence assumption not reasonable c) The probability that the second component fails depends on the failure time of the first component. The binomial distribution is not reasonable. d) not independent trials with constant probability e) probability of a correct answer not constant. f) reasonable g) probability of finding a defect not constant. h) if the fills are independent with a constant probability of an underfill, then the binomial distribution for the number packages underfilled is reasonable. i) because of the bursts, each trial (that consists of sending a bit) is not independent j) not independent trials with constant probability 3-62. (a) P(X 3) = 0.411 (b) P(X>10) = 1 – 0.9994 = 0.0006 (c) P(X=6) = 0.1091 (d) P(6 X 11) = 0.9999 – 0.8042 = 0.1957 3-63. (a) P(X 2) = 0.9298 (b) P(X>8) = 0 (c) P(X=4) = 0.0112 (d) P(5 X 7) = 1 - 0.9984 = 0.0016 3-64. a) 2461 . 0 ) 5 . 0 ( 5 . 0 5 10 ) 5 ( 5 5 = = = X P b) 8 2 9 1 10 0 5 . 0 5 . 0 2 10 5 . 0 5 . 0 1 10 5 . 0 5 . 0 0 10 ) 2 ( + + = X P 0547 . 0 ) 5 . 0 ( 45 ) 5 . 0 ( 10 5 . 0 10 10 10 = + + = c) 0107 . 0 ) 5 . 0 ( 5 . 0 10 10 ) 5 . 0 ( 5 . 0 9 10 ) 9 ( 0 10 1 9 = + = X P d) 6 4 7 3 5 . 0 5 . 0 4 10 5 . 0 5 . 0 3 10 ) 5 3 ( + = < X P 3223 . 0 ) 5 . 0 ( 210 ) 5 . 0 ( 120 10 10 = + = 3-65. a) () 8 5 5 10 40 . 2 99 . 0 01 . 0
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This note was uploaded on 02/17/2010 for the course IE 33214 taught by Professor Feng during the Spring '10 term at University of Illinois at Urbana–Champaign.

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mont4e_sm_ch03_sec06 - 3-60. E (cX ) = cxf ( x) = c xf ( x)...

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