# Search results

1. ### Combinations and probability distributions

why reality check? The question did not state that this is not a possibility - please tell me why I can't assume this? Thanks.
2. ### Combinations and probability distributions

Can someone please help with the method of how to solve this problem... Question: Three balls are thrown at random into 5 bowls so that each ball has the same chance of going into any bowl independently of wherever the other 2 balls fall. Determine the probability distribution of the...
3. ### Probability proof - what formulas are needed here?

Thanks soo much!
4. ### Probability proof - what formulas are needed here?

Please could you show me the steps you would take
5. ### Probability proof - what formulas are needed here?

If events A and B are in the same sample space: . Proove that if P(A I B') > P(A) then P(B I A) < P(B) (where B' is the Probability of A given not B) . Proove that if P(A I B) = P(A) then P(B I A) = P(B) do we assume independence here so that P(A I B) = [P(A)*P(B)]/ P(B) = P(A)...

Thanks alot!
7. ### Difficult integral by sub., parts & table

How do you submit scanned work onto here? Thanks
8. ### Implicit differentiation and chain rule-

Sorry it seems that attachments do not upload: Here is the Question: Suppose R = R(q,p) = e^(q+p), where p = p(q) is defined through the equation q^2*p+p^2*q+qp = 3 Letn r(q) = R(q,p(q)). Use the chain rule to calculate the derivative dr/dq at the point q=1. Can you please tell...
9. ### Implicit differentiation and chain rule-

The question and my workings are attached:
10. ### Writing a function as an exponent - please clarify

Can someone please clarify: If i wish to write2^(√2) as an exponent am I correct in thinking this will be written as: exp√2(ln2) ? Thanks
11. ### Math/ Economic brain teaser - due to the credit crisis

Ok, this question is a bit tricky, but it is wise to first make certain distinctions. There are loans available and there are investment projects. People borrow (i.e. take out a loan) to finance their spending now. They invest in a project (with the quality of that project varying over a...
12. ### Math/ Economic brain teaser - due to the credit crisis

Supply: S=2000*ibar Demand: Those who enter the loan market q: the quality of the investment project - this lies on a uniform distribution on scale [1,2] this is what you can use to determine who enters the market, as for example if i = 0, you know all 2000 people will enter the market...
13. ### Math/ Economic brain teaser - due to the credit crisis

Can anyone sense a way to solve this. It would be great help to see your reasoning behind your assumptions. As a result of the credit crisis there are many asymetries in the loan market as a reult this set of question have arisen: Information - take this as true There are two types of...
14. ### Interpeting data figures - its rather simple but not soo simple

Can Someone please tell me how I can interpret the skewness of a distribution using quartiles. I know that if Q2 – Q1 > Q3 – Q2 : Negative skew and if Q3 – Q2 > Q2 – Q1: Positive Skew and if Q2 –Q1 = Q3 – Q1: Symmetrical data dispersion What I really need to know is how to use the above to...
15. ### MSE and Estimators for Random Samples

Erm Ok, so you are suggesting that considering random variables, the expected value of an unbiased estimator (used in a sample to estimate the true population parameter, such as the unknown mean or variance etc) has an expected value equal to its true population parameter? So with what you...
16. ### MSE and Estimators for Random Samples

Thanks for the above, I didn't realize the E(-) operator was simply Expected Values of Linear Functions and Random Variables. For the last part, I am still a little confused. Are you wishing to infer that the expected value of an unbiased estimator is simply its variance?
17. ### MSE and Estimators for Random Samples

I would very much appreciate if someone could explain the following: - What is the use of the MSE (Mean Square Error) i.e. why do we use it? I understand that MSE(t) = Var(t) + {E(t-&)}^2, but what does this tell us? - Why/ How does E{A*Sx^2 +b*Sy^2} = a*Var + b*Var (I am using ^ to...
18. ### Probability - what distribution/ model should be used in this context

sorry the second line should read: ncr *(success)^r *(failure)^(n-r)
19. ### Probability - what distribution/ model should be used in this context

OK, so you suggest that I simply state, since we know their is Low demand we need not assign this a probability. I suppose this is a sensible assumption since the question states the two events (Demand and Service Level) are independent. So from there I can just go about using these...
20. ### Probability - what distribution/ model should be used in this context

Homework Statement Suppose we are given a table of conditional probabilities as follows (probabilities are in brackets): Service Level Demand: Poor/ Standard/ Exceptional Low: Poor Demand: (0.1) Standard Demand: (0.6) Exceptional Demand:( 0.3) High: Poor Demand: (0.5) Standard...

Thanks!
22. ### Possibility of a sample space containing the following:

[SOLVED] Possibility of a sample space containing the following: Will it ever be possible for a sample space (the set of all possible outcomes of a probability experiment) to contain outcomes that are both independent of each other but in fact also mutually exclusive? Please note I am...