<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:
D. the president's role in foreign policy had not yet been specifically defined.
Explanation:
The Constitution does not explicitly state that the President has sole authority over foreign policy, and so at this point in history it was still unclear exactly how much power the President actually had in regards to international affairs. Washington didn't want to take a position on such a contentious issue without knowing for sure that he could back up his stance with actual authority.
Everybody solves things differently. For me, I find that by writing everything down in my agenda, it helps me organize my thoughts and I'm able to visually see what assignment(s) are due soon.
Since your history exam is coming up, I would highly suggest you to study a bit each day. It's a bit of a stretch since May isn't even here yet, but it's better to start early.
Once again, although May isn't here yet, I would suggest working on whatever is due in that month. Believe me, doing it last minute is seriously so stressful and you'll regret it. (I'm saying this from experience.)
Just remember to give yourself little breaks and be sure to have enough sleep! It's fine if there will be times where you find yourself staying up the whole night just to get your work done. But, don't do it often as that is not good for your health.
Some tips for when you find yourself getting stressed out while working. I heard that tea, specifically Chamomile tea, helps reduce stress. Perhaps listening to music or taking a walk outside will help.
I hope my tips help you at least a bit.
Answer:
c.
Explanation:
kasi kapag sumasabig ang mga bulkan jan nag sisimula ang oag ka tioak ng mga lupa
