MATH 110 MODULE 4 EXAM QUESTIONS AND ANSWERS- PORTAGE LEARNING.
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Course
MATH 110
Institution
MATH 110
MATH 110 MODULE 4 EXAM QUESTIONS AND ANSWERS- PORTAGE LEARNING.
Module 4 Exam
Exam Page 1
A factory has eight safety systems. During an emergency, the probability of any one of the safety
systems failing is .08. What is the probability that six or more safety systems will fail during an
emerge...
Module 4 Exam Exam Page 1 A factory has eight safety systems. During an emergency, the probability of any one of the safety systems failing is .08. What is the probability that six or more safety systems will fail during an emergency? f(x) = ( (n!) / (x!(n-x)!) ) x ( (p^x) x ((1-p)^n-x)) ) n = 8 x = 6, 7, 8 (number of failures) p = 0.08 6 failures: n = 8 x = 6 p = 0.8 n-x = 8-6 = 2 ( (8!) / (6!(2)!) ) x ( (0.08^6) x ((1-0.08)^2)) ) = 6.2 x 10^-6 7 failures: n = 8 x = 7 p = 0.8 n-x = 8-7 = 1 ( (8!) / (7!(1)!) ) x ( (0.08^7) x ((1-0.08)^1)) ) = 1.54 x 10^-7 8 failures: n = 8 x = 8 p = 0.8 n-x = 8-8 = 0 ( (8!) / (8!(0)!) ) x ( (0.08^8) x ((1-0.08)^0)) ) = 1.68 x 10^-9 MATH 110 MODULE 4 EXAM QUESTIONS AND ANSWERS- PORTAGE LEARNING f(6) = 6.21 x 10^-6
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