3. Determine whether each of the distributions given below represents a probability distribution. Justify answer

a) x |1 | 2 | 3 | 4

P(x) |1/8| 1/8| 3/8 | 1/8

b) x | 20 | 30| 40 | 50

P(x)| 0.3|0.2| 0.1| 0.4

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- Jun 30th 2007, 02:14 PMharryprobability
3. Determine whether each of the distributions given below represents a probability distribution. Justify answer

a) x |1 | 2 | 3 | 4

P(x) |1/8| 1/8| 3/8 | 1/8

b) x | 20 | 30| 40 | 50

P(x)| 0.3|0.2| 0.1| 0.4 - Jun 30th 2007, 02:31 PMred_dog
The sum of probabilities must be equal to 1.

In the first "distribution" the sum is , so isn't a distribution.

In the second the sum is equal to 1, so it is a corect distribution. - Jun 30th 2007, 02:31 PMPlato
There are two requirements:

and .

Now you check both of those for these properties.

EDIT: What is the point of simply handing out simple answers?

Is that what teaching has come to? - Jun 30th 2007, 02:35 PMSoroban
Hello, Harry!

Quote:

3. Determine whether each of the distributions given below represents a probability distribution.

Quote:

Yes . . . The probabilities are positive and add up to .