2. A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. a) If x is the number of defective sets purchased by the hotel, find the probability distribution of x. Express the results graphically as a probability histogram. b) Find the cumulative distribution function of the random variable X representing the number of defectives. Then using f(x), find (a) p(X = 1); (b) p(0 < X< 2). %3D
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.
HELP PLEASE! WITH COMPLETE SOLUTION, PLEASE DON'T MAKE IT COMPLICATED HEHE 3 DECIMAL PLACES, AND BOX THE FINAL ANSWER
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