Answer:
W (average weight) and Z (top running speed) are continuous random variables because they can take on any value within a certain range (e.g., a peacock's weight can be 5.3 pounds or 5.301 pounds or 5.3001 pounds, etc.).
X (number of babies) is a discrete random variable because it can only take on integer values (e.g., a peacock flock can have 1 baby, 2 babies, 3 babies, etc.).
Therefore, the answer is (B) one discrete and two continuous random variables.
Explanation:
A discrete random variable is a variable that can only take on a finite or countably infinite number of values. In this case, the number of babies in the flock is a countable set of values (i.e., 0, 1, 2, 3, ...), so it is a discrete random variable.
A continuous random variable, on the other hand, can take on an uncountable number of values within a certain range. In this case, the weight and top running speed of a peacock can take on any value within a certain range (e.g., weight can range from 0.01 pounds to 20 pounds or more), so they are continuous random variables.
Therefore, the answer is (B) one discrete and two continuous random variables.