57. A particle moves among n +1 vertices that are situated on a circle in the following manner. At each step it moves one step either in the clockwise direction with probability p or the counterclockwise direction with probability q = 1 – p. Starting at a specified state, call it state 0, let T be the time of the first return to state 0. Find the probability that all states have been visited by time T. Hint: Condition on the initial transition and then use results from the gam- bler's ruin problem.

57. A particle moves among n +1 vertices that are situated on a circle in the following manner. At each step it moves one step either in the clockwise direction with probability p or the counterclockwise direction with probability q = 1 – p. Starting at a specified state, call it state 0, let T be the time of the first return to state 0. Find the probability that all states have been visited by time T. Hint: Condition on the initial transition and then use results from the gam- bler's ruin problem.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

13. Suppose X~ N(10,2). op a. Find the probability that X is at least 8.5. b. Find the probability that X is at most 7. C. Find the probability that X is between 6 and 14. d. Find x such that P(X x) = 0.30.
Consider the following model to grow simple networks. At time t = 1 we start with a complete network with no = 6 nodes. At each time step t> 1 a new node is added to the network. The node arrives together with m = 2 new links, which are connected to m = 2 different nodes already present in the network. The probability II, that a new link is connected to node i is: ki II¿ = Z - 1 N(t-1) with Z(k-1) - j=1 where k, is the degree of node i, and N(t 1) is the number of nodes in the network at time t-1. (b) What is the average node degree (k) at time t? What is the average node degree in the limit t→ ∞o?
8.
residence), the average 220V is measured and the standard deviation is co ated as 4V. What is the least probability that the voltage of a randomly selected When the phase-neutral voltage value of the consumers fed from a transformer is measured from the vault point (you can assume the entry point to the consumer is between 202V and 232V? G0 100555- g160100555870479447 B A 60 100555- 14/25 3/4 60100555-987047 g160100555 - 9870479447 15/16 g160 0555 -987 8/9 60100555- g160100555 - 9870479447 TO 12/13 60100555-987047 g160100555 -987047944 g160100555 - 9870479447 g160100555 - 987047944 60100555-987047 g160100555 - 9870479447 g160100555 -987047944 60100555-9870475 g160100555 - 9870479447 g160100555 -987047944 60100555-9 g160100555 - 987047944 g160100555 - 987047944 g160100555 - 9 g160100555 987047944 g160100555 - 9
EXERCISE 7. Let X be a random variable, for each real number t, define P(t) = E(e*). The function @(t) is called the moment generating function of X. Please try to give the moment generating function of the Poisson distribution with mean 2.
Time left 0:35:29 Consider the random experiment of selecting 5 balls from a box containing 60 Green and 40 white balls. The probability of selecting 2 white and 3 green balls is 0.1600 a. O b. 0.4000O O c. 0.3545 O d. 0.5000
Time left 1:26: The number of new cllents that a computer consultIng firm obtalned each month has ranged from 0 to 6. The number of new clients has the probablity distributlon that Is shown below. Number of New Clients 2 3 4 6 Probability 0.05 0.10 0.05 0.10 0.25 0.20 0.25 The probablity that the consulting firm obtained at least two customers Is O A. 0.20 O B. 0.85 O C. 0.05 O D. 0.15 INTAC e to search
A self-service store employs one cashier at its counter. 9 customers arrive on an average every 4 minutes. The cashier can serve 3 customers per minute. Assume Poisson distribution for arrivals and exponential distribution for service time. What is the average number of customers in the queue? Select one:a. 2.25b. 3c. 1.286d. 5.25e. 6.75
Pls help
14:01 X 12.2 s ll 4G T/ T In all South African schools, EVERY learner must choose to do either Mathematics or Mathematical Literacy. At a certain South African school, it is known that 60% of the learners are girls. The probability that a randomly chosen girl at the school does Mathematical Literacy is 55%. The probability that a randomly chosen boy at the school does Mathematical Literacy is 65%. Add a caption... Determine the probability that a learner selected at random from this school does Mathematics. i-i > CAROL
B. Find the following probabilities using the t-table if X~t20 a. P(T > 0.860) b. P(T < - 1.325) C. Find k such that P(k< T< 2.947) = 0.845 when T~t15