Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7},
The following probability assignments apply: P(E1) = 0.15, P(E2) = 0.20, P(E3) = 0.10, P(E4) = 0.25, P(E5) = 0.20, P(E6) = 0.05, and P(E7) = 0.05.
Let
A = {E1, E4, E6}
B = {E2, E4, E7}
C = {E2, E3, E5, E7}.
find
A ∪ B =
P(A ∪ B) =
P(A ∩ B) =
Bc =
P(Bc) =

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).

Solve: 25 points find the fifth term of an increasing geometric progression if the first term is equal to 7−3 √5 and each term (starting with the second) is equal to the difference of the term following it and the term preceding it.

Hich equation can pair with x + 2y = 5 to create an inconsistent system? 2x + 4y = 3 5x + 2y = 3 6x + 12y = 30 3x + 4y = 8