Can you think of an approximation to the distribution derived in Problem 5.78? SIMULATION An apparatus displaces

Question:

Can you think of an approximation to the derived in Problem 5.78?

SIMULATION

An apparatus displaces a collection of balls to the top of a stack by suction. At the top level (Level 1) each ball is shifted 1 unit to the left or 1 unit to the right at random with equal probability (see Figure 5.23).

Figure 5.23 Apparatus for random displacement of balls

Level : etc. etc. 15 -1 etc. ... ... etc. go00o 3. poooo 0000- N go000 0o000 0000- do000 o000000- C 00000 do000 do000 00

The ball then drops down to Level 2. At Level 2, each ball is again shifted 1 unit to the left or 1 unit to the right at random. The process continues for 15 levels; the balls remain at the bottom for a short time and are then forced by suction to the top. (Note: A similar apparatus, located in the Museum of Science, Boston, Massachusetts, is displayed in Figure 5.24.)

Figure 5.24: Probability apparatus at the Museum of Science, Boston

PROBABILITY

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...