Describe the sum rule.
What will be an ideal response?
The sum rule is the probability that one or the other of two mutually exclusive events will occur is the sum of their individual probabilities. The rule that states the probability of the occurrence of mutually exclusive events is the sum of the probabilities of the individual events.
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One of the most common examples of recursion is an algorithm to calculate the factorial of an integer. The notation n! is used for the factorial of the integer n and is defined as follows:
0! is equal to 1 1! is equal to 1 2! is equal to 2 _ 1 = 2 3! is equal to 3 _ 2 _ 1 = 6 4! is equal to 4 _ 3 _ 2 _ 1 = 24 . . . n! is equal to n _ (n ? 1) _ (n ? 2) _ ... _ 3 _ 2 _ 1 An alternative way to describe the calculation of n! is the recursive formula n * (n ? 1)!, plus a base case of 0!, which is 1. Write a static method that implements this recursive formula for factorials. Place the method in a test program that allows the user to enter values for n until signaling an end to execution. This problem is very easy to write as a recursive algorithm. The base case returns one for n = 0 or n = 1. All other cases multiply the number passed by the return value of a recursive call for the passed number minus one. Note that the program loops until the user enters a non-negative number. One word of caution: it is easy to enter a number that will result in a calculated value too large to store. An interesting little project would be to have the students find out what the largest integer value is for the platform they are using, then determine which values to enter to bracket the maximum value, and run the program to see what happens when the those values are entered.
The word shown in bold is used correctly in the following sentence.We'll go farther into this proposal tomorrow.?
Answer the following statement true (T) or false (F)
Give the following declarations, which of the following is a legal call to this function? int myFunction(int myValue);
int myArray[1000]; a. cout << myFunction(myArray); b. cout << myFunction(myArray[0]); c. myArray = myFunction(myArray); d. myArray[1] = myFunction(myArray[0]); e. A and B f. A and C g. B and D
What is wrong with the following code fragment? Rewrite it so that it pro¬duces correct output.
``` if (total == MAX) if (total < sum) System.out.println("total == MAX and < sum."); else System.out.println("total is not equal to MAX"); ```