Components of type A have heights that are independently distributed as a normal distribution with a mean

Question:

Components of type A have heights that are independently distributed as a normal with a mean 190 and a standard deviation of 10. Components of type B have heights that are independently distributed as a normal with a mean 150 and a standard deviation of 8. What is the probability that a stack of four components of type A placed one on top of the other will be taller than a stack of five components of type B placed one on top of the other?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...