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...
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)...
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...
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...
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...
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...
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...
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...
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?
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...
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...
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...
[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...