[求助]请教大家一个问题～～！有人能帮忙解释一下吗？ currently, defaults, investor, selected, number

liondaisy

Of all the bonds currently rated B, 20% will default over an investor's horizon. Th variance of the number of defaults in a randomly selected 40-bond protfolio over the investor's horizon?

The answer is : 0.2*0.8*40=6.4

But why?THX

teamzhang

For binomial distributed variables, the second moment (variance) is equal to N times p times q, where q=1-p.
It is one of the formulas in stochastic processes. If you do not understand it, check related textbooks, or memorize it.