HP 40gs HP 39gs_40gs_Mastering The Graphing Calculator_English_E_F2224-90010.p - Page 232
Some examples of saved aplets, The Triangles aplet, The Prob. Distributions aplet
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Some examples of saved aplets The Triangles aplet In the APLET view, the Solve aplet and it under the new name of "Triangles". Now it and enter the formulas shown. The theta character can be obtained from the keyboard on the zero button using ALPHA. Change into the MODES view and set the angle mode to Degrees (unless you want to use another mode). By changing into the NUM view you can now use this to solve problems in right triangles. Some users choose to use the letter D for degrees rather than theta because theta can be mistaken for an O. The Prob. Distributions aplet In the APLET view, name of "Prob. Distr.". the Solve aplet and it under the new This aplet is for use by students studying probability distribution functions, and contains formulas that can be used to perform calculations on the Binomial, Poisson, Exponential and Normal distributions. You can adapt it to the requirements of your particular course. Firstly, the aplet and enter the formulas shown below. E1: V=N!/((N-R)!*R!)*P^R*(1-P)^(N-R) E2: V= (J=A,B, N!/((N-J)!*J!)*P^J*(1-P)^(N-J)) E3: P=e^-M*M^K/K! E4: P= (J=A,B,e^-M*M^J/J!) E5: P= (A,B,K*X^3*(2-X),X) E6: P=e^-(K*A)-e^(-K*B) E7: P=UTPN(M, S2,X) E8: P=1-UTPN(M,S2,X) E9: P=UTPN(M,S2,A)-UTPN(M, S2,B) E0: P=UTPN(M,S2,M-K)+ UTPN(M,S2,M+K) These formulas can be used in the NUM view to solve problems involving the probability distributions listed earlier. Some explanations and examples are given on the next page. Note that equations E1 and E2 use the expression N!/((N-R)!*R!) instead of COMB(N,R) because doing this allows backward solving to solve for N. Using COMB(N,R) only allows the formula to be used in a forward direction. The drawback of this is that values of N above roughly 75 will cause overflow internally and result in errors. However, values like this should probably be done using a Normal approximation anyway. If this is a problem, replace the COMB(N,R). Additionally, the letter V for value is used in these two equations because, for this particular distribution, the variable P has the specific meaning of "the probability of individual success". 232