Recent content by trojansc82

Homework Statement I am trying to find the critical points of the following hyperbolic function: f(x) = a / (b + x) Homework Equations Critical points--> where f '(x) = 0 One of the points on the graph is a/2b The Attempt at a Solution I am not sure how to proceed with this...

Yeah, I have studied the binomial. I'm going back and looking at old tests before my final, so I'm trying to remember the way the solution worked. I was easily able to derive the mean and variance from a Bernoulli distribution, but I'm having trouble with these two problems. Also, p is the...

Homework Statement a) Let X1, X2, ...XN be a collection of independent Bernoulli random variables. What is the distribution of Y = \sumNi = 1 Xi b) Show E(Y) = np Homework Equations Bernoulli equations f(x) = px(1-p)1-x The Attempt at a Solution a)X1 + X2 + ... + XN = p...

Homework Statement I wanted to know what the result would be if you added two distributions with the same moment generating function. For example, what would the result be of: Mx(t) + My(t) if Mx(t) = (1/3 + 2/3et) and My(t) = (1/3 + 2/3et) Homework Equations The Attempt at a...

Homework Statement ∫3/43x2e-(x/4)3 Homework Equations F(x) = 0∫xf(t) dt The Attempt at a Solution The solution is 1 - e-(x/4)3 I have tried integrating but I am not able to arrive at the solution... What is the indefinite integral of e-(x/4)3?

I did the integration by parts, and I ended up with 1/(1-t)3...is that incorrect? The mean and variance were still the same as the book's answers (μ = 3, σ2 = 3)

Homework Statement ∫etxx2e-x Homework Equations M(t) = etx f(x) dx The Attempt at a Solution I know the solution is -1/(t-3)3, however I'm having difficulty integrating the function. UV - ∫ V DU is extremely long and challenging, I'm wondering if there is a shortcut (i.e. quotient rule?)...

Thanks. Looks like the best way to going about these problems are using the n * Hn method (number of items times the Harmonic series)

Homework Statement In 2006, Red Rose tea randomly began placing 1 of 10 English porcelain miniature animals in a 100-bag box of the tea, selecting from 10 "Pet Shop Friends." a) On the average, how many boxes of tea must be purchased by a customer to obtain a complete collection consisting of...

Homework Statement 2. Let a random experiment be the cast one “six-sided” die and one “four-sided” die. (a) Give an example of two independent events and justify your answer. (b) Give an example of two dependent events from this sample space and justify your answer. Homework Equations...

Yeah, it's permissable to have the same flavor for all three, but you have to take into account the combination of the others. So having the same flavor for three scoops is 4, but it has to be added to the others.

Do we say (4 C 3) for each flavor, so we multiply the result (4) by 4, and then add the same flavors (4)... So the answer is (4*4) + 4?

Ok, so if you have the same flavor you can do it four different ways. But I'm not understanding how you take the other combinations into account.

Cool got it. So it's 26 * 4. Still not sure about b).

Homework Statement The eating club is hosting a make your own sundae at which the following are provided: Ice cream flavors: chocolate, cookies-n-cream, strawberry, vanilla Toppings: caramel, hot fudge, marshmellow, m & m's, nuts, strawberries a) How many sundaes are possible using...