Answer:
The volume of figure 1 is 11340 ft^3 greater than figure 2
Step-by-step explanation:
For rectangular prism, volume is
V = lenght x width x height
V = 36 x 21 x 18 = 13608 ft^3
For rectangular pyramid, volume is
V = (lenght x width x height) ÷ 3
V = (36 x 21 x 9) ÷3 = 6804/3 =2268 ft^3
Difference in volume = 11340 ft^3
Answer:
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that the selection of the random pages will contain at least two errors is 0.2644
Step-by-step explanation:
From the information given:
Let q represent the no of typographical errors.
Suppose that there are exactly 10 such errors randomly located on a textbook of 500 pages. Let be the random variable that follows a Poisson distribution, then mean
and the mean that the random selection of 50 pages will contain no error is
∴
Pr(q =0) = 0.368
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that 50 randomly page contains at least 2 errors is computed as follows:
P(X ≥ 2) = 1 - P( X < 2)
P(X ≥ 2) = 1 - [ P(X = 0) + P (X =1 )] since it is less than 2
P(X ≥ 2) = 0.2644
The probability that the selection of the random pages will contain at least two errors is 0.2644