The histograms represent the probability distributions of the random variables X and Y. Determine by inspection which probability distribution has the larger variance.
A) a
B) b

Question

The histograms represent the probability distributions of the random variables X and Y. Determine by inspection which probability distribution has the larger variance.    
A) a 
B) b

Quizplus · Accepted Answer

By inspection, we can see that histogram A has a flatter and wider shape compared to histogram B. This suggests that the data in A has a larger spread and therefore a larger variance.

The Histograms Represent the Probability Distributions of the Random Variables