Probability that the maximal distance of the particle

Assignment Help Basic Statistics

Reference no: EM131834890

A particle moves over the flat surface of a grid such that an equal unit of distance is measured with every step. The particle begins at the origin (0,0). The first step may be to the left, right, up or down, with equal probability ¼. The particle cannot move back in the direction that the previous step originated from. Each of the remaining three directions has an equal probability of 1/3. Suppose that the particle makes a total of n steps for a given value of n. Verify experimentally that the expected value of the distance between the particle's starting and ending points is approximately equal to 1.25 if n is sufficiently large. Also, for n = 25 and n = 100, find the probability that the maximal distance of the particle to its starting point during the n steps will exceed 1.65.

Reference no: EM131834890

Questions Cloud

Opportunity costs are relevant to capital budgeting decision : Opportunity costs are relevant to the capital budgeting decision. Accrual basis income and cash basis income are often the same amount for each period.

Determine the location quotient for amusement city : Determine the location quotient for Amusement City (round to the hundredths) and whether this city has a competitive advantage in the amusement industry.

What should current rate be on two-year treasury securities : One-year Treasury bills currently earn 5.65 percent. what should the current rate be on two-year Treasury securities?

How big will the balloon payment be : You have just arranged for a $1,840,000 mortgage to finance the purchase of a large tract of land. How big will the balloon payment be?

Probability that the maximal distance of the particle : Also, for n = 25 and n = 100, find the probability that the maximal distance of the particle to its starting point during the n steps will exceed 1.65.

Determine the probability of your leaving the casino : Use computer simulation to determine the probability distribution of your bankroll at the end of the night. Specifically, determine the probability

Find the probability of correctly predicting : Use computer simulation to find the probability of correctly predicting i matches for i = 0, 1, 2, and 3.

Probability of the passenger changing seats five : Use simulation to find the probability of the passenger changing seats five or more times before getting to his assigned seat.

Danish mathematician henning makholm : This variant of the lost boarding pass puzzle is due to the Danish mathematician Henning Makholm.

User Account

All Pages