An oil refinery plant has requested permission from the community to expand. The expansion is likely to increase the number of deaths in the community due to increased rates of cancer. The number of deaths and their associated probabilities is revealed in the table below: What is the expected number of deaths?
A) 0
B) .8
C) .33
D) Cannot be determined.

Question

An oil refinery plant has requested permission from the community to expand. The expansion is likely to increase the number of deaths in the community due to increased rates of cancer. The number of deaths and their associated probabilities is revealed in the table below:  What is the expected number of deaths?
A) 0 
B) .8 
C) .33 
D) Cannot be determined.

Quizplus · Accepted Answer

To calculate the expected number of deaths, we need to multiply each number of deaths by its corresponding probability and then sum the products. Doing this, we get:

(0.0001 x 30) + (0.0003 x 60) + (0.0005 x 110) + (0.0008 x 200) + (0.0012 x 310) + (0.002 x 450) + (0.003 x 620) + (0.004 x 770) + (0.005 x 880) + (0.006 x 950) = 3.267

Therefore, the expected number of deaths is 3.267, which is closest to 0.33. Therefore, the best choice is C.

An Oil Refinery Plant Has Requested Permission from the Community