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1 answer:
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Answer:
Engineer 1
Step-by-step explanation:
Based on the information given:
P( 1 ) = 0.7
P( 2 ) = 0.3
P(A | B) is a conditional probability: the likelihood of event A occurring given that B is true.
P( E | 1 ) = 0.02
P( E | 2 ) = 0.04
Then P( E | 1 ) is the probability that an error occurs when engineer 1 does the work and P( E | 2 ) is the probability that an error occurs when engineer 2 does the work.
To have an idea of which engineer is more likely to do the work when an error occurs you need to calculate P( 1 | E ) and P( 2 | E ), The probability that engineer 1 does the work when an error occurs and the probability that engineer 2 does the work when an error occurs.
The Bayes's theorem states:
Using the notation above:
P( E ) = 0.7*0.02 + 0.3*0.04 = 0.026 /// the probability that engineer 1 does the work and an error occurs or the probability that engineer 2 does the work and an error ocurrs.
Doing the same for engineer 2:
Answer:
9th term geometric sequence (a9) = 1 / 256
Step-by-step explanation:
Given:
Geometric sequence 1,1/2,1/2²
First term (a) = 1
Common ratio (r) = A2 / A1 = (1/2) / 1 = 1/2
Number of term (n) = 9
Find:
9th term geometric sequence (a9)
Computation:
a9 = ar⁹⁻¹
a9 = (1)(1/2)⁸
a9 = (1/2)⁸
a9 = 1/256
9th term geometric sequence (a9) = 1 / 256