The correct answer is B. Mean is greater than median but less than mode.
A probability distribution with right skew is one in which the tail on the right side of the distribution is longer than the tail on the left side. This means that there are more data points with values that are greater than the mean than there are data points with values that are less than the mean.
The mode is the value that occurs most often in a data set. The median is the value that divides the data set into two equal parts, with half of the data points below the median and half of the data points above the median.
In a right-skew distribution, the mode is typically less than the median, which is typically less than the mean. This is because the tail on the right side of the distribution contains more data points that are greater than the mean, which pulls the mean up.
Here is a diagram that illustrates a right-skew distribution:
As you can see, the mode is the lowest value, the median is the middle value, and the mean is the highest value.
Therefore, the correct statement for the probability distribution is B. Mean is greater than median but less than mode.