<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:
He thought that when men were offered the ability for more stability if the obeyed laws, they would be more likely to obey laws for the benefits despite their nature of constantly reaching for power.
Explanation:
Basically, Hobbes thought that once laws were proposed with the "reward" for following them being protections, people would be more likely to follow said laws because people in nature constantly wanted more power and they would be able to submit easier underneath rulers if they received protections for their cooperation.
Um was there something attached?
Answer:It affects behaviors as diverse as sex, rage, temperature control, hormone release, eating and drinking, sleep, waking, and emotion. The hypothalmus is a sort of "crossroads" that connects with many other areas of the cortex and subcortex.
Explanation:
frequency's unit is Hz which mean cycles per second
given frequency * wavelength = speed of wave
speed of light = 3x10^8 m/s
wavelength = 680nm = 680x10^-9 m
frequency * 680x10^-9 m = 3x10^8 m/s
frequency = 3x10^8 / 680x10^-9
= 4.41x10^14 Hz
= 441x10^12 Hz
= 441 THz
which is the frequency for red light
