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Andre45 [30]
3 years ago
5

Which two groups of organisms were commonly found during the Jurassic Period?

Advanced Placement (AP)
1 answer:
Rashid [163]3 years ago
7 0
The answer is the Dinosaurs and the Pterosaurs.

The Jurassic Period follows Triassic Period. It is known as the Age of Reptiles. the land was dominated by the dinosaurs and the flying pterosaurs. Both groups are reptiles. Other animals and plants during this period have just recovered from the largest mass extinctions on Earth.
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<h3>Answer:</h3>
  1. A — 1
  2. B — ∑[k=0..2] 15Ck(.24^k)(.76^(15-k))
  3. D — 12 and 3.1
  4. A — 0.1091
  5. 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

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