The random variable x represents the number of phone calls an author receives in a day, and it has a Poisson distribution with a mean of 7.6 calls. What are the possible values of x? Is a value of xequals3.2 possible? Is x a discrete random variable or a continuous random variable?

Question

Mathematics

Stanley Hatfield

23 July, 20:54

The random variable x represents the number of phone calls an author receives in a day, and it has a Poisson distribution with a mean of 7.6 calls. What are the possible values of x? Is a value of xequals3.2 possible? Is x a discrete random variable or a continuous random variable?

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Cassandra Garza · Answer 1

Step-by-step explanation:

Given that the random variable x represents the number of phone calls an author receives in a day

Poisson distribution is a discrete distribution with random variable countable.

Here no of calls cannot be in fraction or decimal.

Also given that X is Poisson with mean = 7.6

X is discrete since no of phone calls can take values as 1,2,3 ...

X can take any value from 0 to infinity.

x=3.2 is not possible since 3.2 calls does not exist.