Question

Determine whether the random variable is discrete or continuous. In each​ case, state the possible values of the random variable. ​(a) The number of people with blood type Upper A in a random sample of 50 people. ​(b) The time required to download a file from the Internet.

Answer 1

a) No. of people with blood type Upper A in a random sample of 50 people - is a discrete random variable, since the value of the random variable is one of the integers from 0 to 50.

Possible value of the random variable: {0, 1, 2, ....., 49, 50}

b) Time required to download a file from the internet - is a continuous random variable since it takes any value from nearly 0 (super fast download) to forever (tending to infinity, in case the file download remains stuck for some connectivity issues).

Possible values of the random variable: (0, ) (open set excluding 0 and infinity)