Question

The maternity ward at Dr. Jose Fabella Memorial Hospital in Manila in the Philippines is one of the busiest in the world with an average of 60 births per day. Let X = the number of births in an hour.

a. X can take any positive integer value.
b. X can only take values from 0 to 60, inclusive.
c. X can take values from 0 to 30, inclusive.
d. X can take values from 31 to 60, inclusive.

Answer 1

The mean and standard deviation of X are undefined in this case because X can take any positive integer value.

Step-by-step explanation:

To find the mean and standard deviation of X, we need to know the probability distribution of X. In this case, X can take any positive integer value, so the probability distribution is a discrete uniform distribution. In a discrete uniform distribution, the probability of each outcome is the same.

If X can take any positive integer value, then the number of possible outcomes is infinite. Therefore, the mean and standard deviation of X are undefined in this case.