A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. The table below shows the data 0
50
100
150
200
250
300
350
400
Number of employees
(x)
Number of products
(y)
100 1,100 2,100 3,100 4,100 5,100 6,100 7,100 8,100
Part A: Is there any correlation between the number of employees in the plant and the number of products produced yearly? Justify your answer. (4 points)
Part B: Write a function which best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate? (3 points)

23) 84% of a contractor’s jobs involves electrical work. 75% of a contractor’s jobs involve plumbing work. Of the jobs that involve plumbing, 90% of the jobs also involves electrical work. Let E = jobs involving electrical work L = jobs involving plumbing work Suppose one of the contractor’s jobs is randomly selected. Using the sixth Excel worksheet, a) Find P(E). 0.84 b) Find P(L). 0.75 c) In words, what does E | L mean? d) Find P(E | L). e) Find P(E and L). f) Are E and L independent events? Why or why not? g) Find P(E or L). h) Are E and L mutually exclusive? Why or why not

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