Explanation:
As points have three coordinates i.e. x, y and z hence the sketch of the given four points is drawn in 3D shape and for that picture is attached here with this answer.
Points are given in the format as below
(value of x-coordinate , value of y-coordinate , value of z-coordinate)
In the attachment:
Point A = (0,5,2) (in blue color)
Point B = (4,0,-1) (in purple color)
Point C = (2,4,6) (in orange color)
Point D = (1,-1,2) (in black color)
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: