<h3>Answer:</h3>
- A — 1
- B — ∑[k=0..2] 15Ck(.24^k)(.76^(15-k))
- D — 12 and 3.1
- A — 0.1091
- B — 0.83 ...
<h3>Explanation:</h3>
1. The probability is 0.52 that the officer will pull over a driver and then the expected number more. So, if x is the expected number of drivers pulled over until one is not texting, we have ...
... x = 0.52(1+x)
... 0.48x = 0.52
... x = 0.52/0.48 = 13/12 = 1 1/12 ≈ 1 . . . . matches selection A
(<em>Comment on this result</em>: I find it interesting that these are the odds in favor of finding a driver who texts. That is, if the probability of texting is 0.98, the odds are 49:1 that a driver will be texting, and the expected number of pull-overs is 49.)
2. The probability of at most 2 being cured is the probability of 0, 1, or 2 being cured. You need to add up those probabilities. The sum in answer selection B does that.
3. The mean of a binomial distribution is ...
... μx = np = 60·0.2 = 12
... σx = √(np(1-p)) = √(12·0.8) ≈ 3.0984
These match selection D.
4. 20C14(0.8^14)(0.2^6) = 38760·.043980·0.000064 ≈ 0.109100 . . . matches A
5. mean(x) = 0.94; mean(x^2) = 1.58, so ...
... σx = √(1.58 -0.94²) ≈ 0.83 . . . . matches selection B
Answer:
I. x = -3
II. y = -2
Explanation:
Given the following algebraic equation;
.........equation 1
..........equation 2
We would solve the algebraic equation using the substitution method
From equation 1;
.....equation 3
Substituting eqn 3 into eqn 2, we have;
Multiplying all through by 5
Rearranging the equation, we have:
x = -3
Next we find the value of y;
From eqn 3;
Substituting the value of "x" into the equation, we have;
y = -2
The statement is - False.
In the pre-industrial societies, the economy was far from being based on providing information and services. The economy was largely based on two things, agriculture and trade.
The agriculture was the basis and the dominant sector in the pre-industrial economy. The more agricultural products a nation had, the more it had to trade, thus becoming wealthy. This can easily be seen in the colonies that the European countries had in the pre-industrial period, where every inch of the land that was suitable for agriculture was used, and latter those products were shipped and traded in order to become wealthier.
