7. The numbers of automobiles (cars and motorcycles) passing a check point per unit time follow a Poisson distribution. Suppose on average 2 cars pass a given check point every hour and ori av erag: 3 motorcycles pass the same check point every half hour. Find. leaving your answers in term: ol e, the probability that in a given hour (a) two cars and three motorcycles pass by. (b) just three motorcycles pass by, (c) nothing passes by, (d) a total of five cars or motorbikes pass by the check point.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Answer a, b, c, d
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