An experiment observes an integer uniformly chosen from {1.2, 3.4.5, 6, 7, 8, 9, 10, 11.12} Which of the following pairs of events are independent of each other?
a. A= {1, 2, 3};B= {1, 2, 3, 4, 5, 6}
b. A = {1, 2, 3}; B = {3, 9, 12}.
c. A = {2, 4, 6, 8}:B- {8, 10, 12}
d. A = {1, 2, 3, 4, 5, 6}; B = {7, 8, 9, 10, 11, 12}
e. A = {2.4, 6, 8, 10}; B = {1, 3, 5, 7, 9.11}

Options D & E are independent

Step-by-step explanation:

For any of the options to be independent, they have to be mutually exclusive i.e A ∩ B = 0

A) A ∩ B = {1, 2, 3}. They are not mutually exclusive and so they are not independent.

B) A ∩ B = {3}. They are not mutually exclusive and so they are not independent.

C) A ∩ B = {8}. They are not mutually exclusive and so they are not independent.

D) A ∩ B = 0. They are mutually exclusive and thus they are independent.

E) A ∩ B = 0. They are mutually exclusive and thus they are independent.

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: