I was comparing two different groups, and in one, my n was 1600, and the other n was around 700. I found pretty much all significant differences, but is that maybe due to sample size. I tried doing a random selection making the sample sizes equal (both around 700) and got more or less the same...
I mistyped (that g(x) should have been g(x)=x^2 - 16 [not sure how I messed that one up]), but you seem to know what you're doing. What specific question do you have?
The probability of getting one head is p, right? What's the probability of getting two heads? Write out the different possibilities, of all the coin tosses. i.e. you can get two heads, a head or tail, a tail or head, or two heads. What are the associated probabilities for each of these conditions?
Since they don't tell what you what the bias is, you can kind of ignore it. All you know is that the probability is p. What if you tossed a fair coin 10 times? What is the probability of getting x heads?
So take a peek at the reverse triangle inequality. There's another one, like you have, but a little different.
But if we know that we can some large a_n, well, since {a_n} is unbounded, there exists some |a_m| > |a_n|, right? Then certainly there's some |a_m| > |a_n| + 1?
The same way you found n. You know that {a_n} is unbounded, so for any B, there exists something greater than it, right? well, what about a_n? Shouldn't there be something greater than a_n?
Also, look at some consequences of the triangle inequality.
You have to use the chain rule where it is required. This will be the case if your function f(x) = g(h(x)). Then f'(x) = g'(h(x))*h'(x). THIS IS ALWAYS THE CASE, assuming that g(x) and h(x) are differentiable. Consider f(x) = a^u(x). by the property of the chain rule, and the exponential rule...
Φ is the normal cdf function. Φ(x) gives you the area to the left of x in a normal distribution. since the whole area is 1, and Φ(-2.5) = .345, then the area to the right of -2/5 is .655.
earlier when you were got the 74. something years, that meant that 70% of people live 0 to 74.whatever years.
Well, if the two are equal, then you can certainly go between them. Just go backwards from what you did to get the result they want. I'm still confused about what you mean by using the product rule and exponential rule. You don't have much of a choice of when you get to use one or the other. You...
Maybe I'm misunderstanding the question, but it seems to me that all you have to do is see whether they are linear combinations of each other. does y1(x) = a*y2(x) for all x in the domain, for some constant a?