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The occurrence of bushfires in the Port Stephens area may be modelled by a Poisson process. The average occurrences of bushfires n is assumed to be either 15 (event A1), 20 (event A2) or 25 (event A3) times a year. The probability of A2 is the same as the probability A1 and the probability of A3 is half of A1.
(a) Determine the probability that there will be 20 occurrences of bushfire in the next year.
(b) If there are exactly 20 bushfires in the next year (event B), what will be P(A1|B)? Determine P(A2|B) and P(A3|B).
Model the three degree of freedom system shown in Figure Q5 and solve for the displacements of the three masses due to a force of 10 N applied to the bottom mass at a frequency of
Operator Precedence Rules: A few operators have precedence over the others. For illustration, in the expression 4 + 5 * 3, the multiplication takes the precedence over additio
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Scripts with Input and output: Placing all this together, we can implement the algorithm from the starting of this section. The following script computes and prints the area o
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Example of Linear indexing: For illustration, the following substitutes the whole second row with values from a vector The whole row or column could also be changed : >> m
Creating Matrix Variables: Creating a matrix variable is actually just a generalization of creating a row and column vector variables. That is, the values within the row are s
Write a script to determine the volume of a pyramid, which is 1/3 * base * height, where the base is length * width. On time the user to enter values for the length, width, and th
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From A to B the inlet valve is open and the steam pressure increases linearly from 0.1000 MPa absolute to 15.00 MPa absolute, 1000°C. The inlet valve closes and from B to C the
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