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Determine whether the distribution is a discrete probability distribution. xx 00 1010 2020 3030 4040 Upper P (x )P(x) 0.250.25 0.250.25 0.250.25 0.250.25 0.250.25 Is the distribution a discrete probability​ distribution?

Respuesta :

Answer:

The given distribution is not a Discrete Probability distribution.

Step-by-step explanation:

Given distribution is

x        0         1        2        3        4  

P(x)  0.25   0.25  0.25   0.25   0.25

To determine whether the given distribution is a discrete probability or not :

Discrete Probability distribution consists of the values a random variable can assume and the respective probabilities of the values.

a) All probabilities must lies between 0 and 1

b) The sum of the probabilities must be equal to 1

Now the sum of the probabilities is given by

0.25+0.25+0.25+0.25+0.25=1.25

[tex]sum of the probabilities 1.25\neq 1[/tex]

Hence the given distribution is not a Discrete Probability distribution

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