D. Probation and parole personnel.
<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
In a sense, the discrimination against African Americans is related to economic stratification. In the 17th century colonial Virginia, the concept of race was adopted and used as a justification for social classification for groups of people. This was a result of a violent uprising known as Bacon's Rebellion in which lower class African and Europeans both who were denied land holdings in the Virginia frontier. The rebellion was so destructive that the Virginian governing body set in place strict segregation between Africans and Europeans in a way to prevent them from collectively joining forces again to create another violent uprising. Since then, those of African have gradually lost certain rights and liberties in comparison to their Caucasian counterparts, to the imminent point in which Africans were nearly all reduced to the role of slaves. Even after the abolition of slavery, those of African descent were continuously denied abilities to obtain better economic and financial assets by a southern states that were still upset of losing their right to own slaves. This is evident by sharecropping being used as a way to keep African Americans on estates to work off for their freedom, as well as terroristic tactics used by the Ku Klux Klan, as well as forms of institutional racism that barred African Americans from the same working establishments as White Americans. In various ways, economic stratification has been a tool for discriminating African Americans throughout American history.<span />
