# Appendix a to applied probability: directory of m-functions and m  (Page 16/24)

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icalcf.m `[x,y,t,u,px,py,p] = icalcf(X,Y,PX,PY)` is a function version of icalc, which allows arbitrary naming of variables.

```function [x,y,t,u,px,py,p] = icalcf(X,Y,PX,PY)% ICALCF [x,y,t,u,px,py,p] = icalcf(X,Y,PX,PY) Function version of icalc% Version of 5/3/95 % Allows arbitrary naming of variablesx = X; y = Y;px = PX; py = PY;if length(X) ~= length(PX) error(' X and PX of different lengths')elseif length(Y) ~= length(PY) error(' Y and PY of different lengths')end [a,b]= meshgrid(PX,fliplr(PY)); p = a.*b; % Matrix of joint independent probabilities[t,u] = meshgrid(X,fliplr(Y)); % t, u matrices for joint calculations```

icalc3.m Calculation setup for an independent class of three simple random variables.

```% ICALC3 file icalc3.m Setup for three independent rv % Version of 5/15/96% Sets up for calculations for three % independent simple random variables% Uses m-functions rep, elrep, kronf X = input('Enter row matrix of X-values ');Y = input('Enter row matrix of Y-values '); Z = input('Enter row matrix of Z-values ');PX = input('Enter X probabilities '); PY = input('Enter Y probabilities ');PZ = input('Enter Z probabilities '); n = length(X);m = length(Y); s = length(Z);[t,u] = meshgrid(X,Y);t = rep(t,1,s); u = rep(u,1,s);v = elrep(Z,m,n); % t,u,v matrices for joint calculations P = kronf(PZ,kronf(PX,PY'));disp('Use array operations on matrices X, Y, Z,') disp('PX, PY, PZ, t, u, v, and P')```

icalc4.m Calculation setup for an independent class of four simple random variables.

```% ICALC4 file icalc4.m Setup for four independent rv % Version of 5/15/96% Sets up for calculations for four % independent simple random variables% Uses m-functions rep, elrep, kronf X = input('Enter row matrix of X-values ');Y = input('Enter row matrix of Y-values '); Z = input('Enter row matrix of Z-values ');W = input('Enter row matrix of W-values '); PX = input('Enter X probabilities ');PY = input('Enter Y probabilities '); PZ = input('Enter Z probabilities ');PW = input('Enter W probabilities '); n = length(X);m = length(Y); s = length(Z);r = length(W); [t,u]= meshgrid(X,Y); t = rep(t,r,s);u = rep(u,r,s); [v,w]= meshgrid(Z,W); v = elrep(v,m,n); % t,u,v,w matrices for joint calculationsw = elrep(w,m,n); P = kronf(kronf(PZ,PW'),kronf(PX,PY'));disp('Use array operations on matrices X, Y, Z, W') disp('PX, PY, PZ, PW, t, u, v, w, and P')```

## Calculations for random variables

ddbn.m Uses the distribution of a simple random variable (or simple approximation) to plot a step graph for the distribution function F X .

```% DDBN file ddbn.m Step graph of distribution function % Version of 10/25/95% Plots step graph of dbn function FX from % distribution of simple rv (or simple approximation)xc = input('Enter row matrix of VALUES '); pc = input('Enter row matrix of PROBABILITIES ');m = length(xc); FX = cumsum(pc);xt = [xc(1)-1-0.1*abs(xc(1)) xc xc(m)+1+0.1*abs(xc(m))];FX = [0 FX 1]; % Artificial extension of range and domainstairs(xt,FX) % Plot of stairstep graph hold onplot(xt,FX,'o') % Marks values at jump hold offgrid xlabel('t')ylabel('u = F(t)') title('Distribution Function')```

what is demand and supply
what is liquidity
the ability to easily turn asset or investment to cash
Johnson
liquidity is refers to the ease with which an asset or security, can be converted into ready cash without affecting it's market price. example is milk and checking a account in the bank.
Gyamfua
the meaning PPP is public _private partnership and PPP in economic is purchasing power_parity.
Gyamfua
what is economy production
what is Monopoly
Miracle
what is monopoly
what is the full meaning of gpa?
why the firm will be happy to make normal profit?
1.to make further increase 2.to established the firm 3. to draw and attract more customers 4. to foresee the future of the firm. 5. to get goods in galore
Castino
when marginal utility is zero? what is the total utility?
definition of choice?
it refers to the act of selecting one alternative from the other
Donfack
State and explain three advantages and two disadvantages of capitalist economic system
What is cross elasticity of demand
Is a demand in which the of goods change over time.
How can I join
join what?
Castino
it measure the extend in which the quantity demanded of a good respond to change in price of other good.
Donfack
refers to sensitivity of quantity demanded in change of price of commodity
Daniel
meaning of PPP
OBANYI
What is balance of payments
what are free good
how do you determine price change
what is economics?
what is economic
Economics is the study of how Individual consumer, institution and society as a whole uses its available finite resources to satisfy infinite needs and wants
Richard
Explain the following concepts using suitable exemple. 1) National budget. 2) National debt
Rosalie
While the American heart association suggests that meditation might be used in conjunction with more traditional treatments as a way to manage hypertension
Researchers demonstrated that the hippocampus functions in memory processing by creating lesions in the hippocampi of rats, which resulted in ________.
The formulation of new memories is sometimes called ________, and the process of bringing up old memories is called ________.
A fair die is tossed 180 times. Find the probability P that the face 6 will appear between 29 and 32 times inclusive