Question

In: Statistics and Probability

1.The classical probability concept applies only when all possible outcomes are _________. 2.In general, if r...

1.The classical probability concept applies only when all possible outcomes are _________.

2.In general, if r objects are selected from a set of n objects, any particular arrangement (order) of these objects is called.____________ The number of ways in which r objects can be selected from a set of n distinct objects (in other words, that is when the order of objects doesn't matter) is called___________

3.The sum of the probability in the formula for the mathematical expectation is equal to ________

4.A fair game is defined to be in which:

the probabilities of all events are equal

the sum of all probabilities equals to 1

E = 1

E = 0

5.The mathematical expectation for a game is determined by multiplying each amount by its ________ and adding the products.

6. In a probability Tree Diagram such as that of Figure 41.1a on page 113 of the textbook, the branches representing the ------------ of a event.

possibilities

number of leaves

probability

7.The number of ways of choosing zero objects from a distinct object is ________

8.The probability of selecting a defective component from 20 components, 3 of which are defective is 3/20. This is an example of:

the classical probability concept

the frequency interpretation of probability

the law of large numbers

subjective probability

Solutions

Expert Solution

1.The classical probability concept applies only when all possible outcomes are equally likely

2)

In general, if r objects are selected from a set of n objects, any particular arrangement (order) of these objects is called._permutation_____ The number of ways in which r objects can be selected from a set of n distinct objects (in other words, that is when the order of objects doesn't matter) is called combination

3) The sum of the probability in the formula for the mathematical expectation is equal to 1

4)

E = 0

5) The mathematical expectation for a game is determined by multiplying each amount by its probability and adding the products.

6)

In a probability Tree Diagram such as that of Figure 41.1a on page 113 of the textbook, the branches representing the possibilities of a event

7)

The number of ways of choosing zero objects from a distinct object is 1

8) the frequency interpretation of probability


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