Consider the following two scenarios [Option A and Option B]: Shepherd Inc. has a total of 150 computers. Currently, Shepherd Inc. has all 150 computers stored in one warehouse. There is a 20% chance that a fire could occur. If this fire occurs, then Shepherd will lose all 150 computers. [Option A]

Alternatively, Shepherd is considering separating their computers evenly into two different warehouses: 75 computers stored in Warehouse I and 75 computers stored in Warehouse II. Once again, there is a 20% chance that a fire could occur in each warehouse. If a fire occurs, then Shepherd would once again lose their entire computers in that particular warehouse. [Option B]

a. First, consider Option A. Derive the probability distribution for total number of lost computers under Option A.
b. Now consider Option B. Derive the probability distribution for total number of lost computers under Option B.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.