Question

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?

Answer 1

the possible values of​ x is 0,1,2,3...

Explanation:

Answer 2

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.