Q44 A biased coin shows heads with probability p (= 1- q). It is flipped repeatedly until the firsttime Wn by which it has shown n consecutive heads. Let E(sWn) = Gn(s). Show that Gn =psGn-1/(1-qs Gn-1), and deduce thatGn(s) =(1-ps)p" sh1-s+qpsn+1*

Answered: Image /qna-images/answer/fb8c971d-4f50-46b4-b81f-6ede249e15cb.jpg

Answered: Q44 A biased coin shows heads with…

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

1. The events A and B are such that P(A) = 1/3, P(A'|B) = ¼/4, and P(AUB) = ½. Find a) P(A'nB). Ans: 1/6 b) P(B). Ans: 2/3
PLEASE DO PART D ONLY. I HAVE SOLVED THE REST, I JUST CAN'T SOLVE PART D. beta 1 is a non random constant. Please solve d part explain step by step
For E (0,1) let Xp be a Geometric random variable with parameter p. (a) Find a value of p so that P(Xp> 2.5) = 9. (b) Let An be the event that Xp is even. Determine P(A,) in terms of p. (c) Suppose Y, is a random variable which is equal to the remainder after integer division of X, by 3. Let p = i, and determine the conditional probability mass function of conditioned on the event Yı = 1.
The annual rainfall (in inches) in a certain region is normally distributed with µ = 40 and σ = 4. What is the probability that starting with this year, it will take more than 10 years before a year occurs having a rainfall of more than 50 inches? Suppose the rainfall in each year is independent of the rainfall in other years and the distribution of rainfall in each year is the same as in the present year.
X 1:YY KB/S robability & Statistics Time left 1:12:20 For the probability distribution in the table. What is the probability of 1 or 5 P(x) 1 0. 2 2 0. 15 3 0.1 4 0. 15 5 a. 0. 52 b. Correct answer is not listed с. .4 d. 0. 08 е. О. 6
The complement of an event is all possible outcomes not in the event. For example: If A = at least 3 girls are born to a family with 6 kids. Then A' = A compliment is what happens if there are not at least 3 girls = less than 3 girls born to the family. A useful formula: P(A) + P(A' ) = 1 or P(A') = 1 - P(A). If P(A) = 0.194, what is P(A')?
Let X be a random variable with moment generating function given by Mx(t) = (0.3 + 0.7 e')°, then the random variable X is binomial with n = 5 and p = 0.3 ( X:B(5,0.3)) Select one: O True False
4. A particle moves on the x- axis starting at x = 0. With equal probability, the particle moves to the left or right one unit. Let X denote the position on the x- axis after four moves. (a) Find px(x). Notice that X can take on -4,-2,0, 2, 4. Fill out the table below. xPx(x) (b) What is the expected position of the particle after four moves. That is, compute E(X). Express your answer as a fraction in lowest terms.
4) What number of drones N makes your second-morning observations as likely as possible?5) Assuming again that the probability that N = n is proportional to the probability of observing this specificdata on the second day, find again the smallest nmax so that P (N ≤ nmax) = 0.95.
Suppose Xt denotes the unknown whose value is the success count for ?ttrials of a Bernoulli Process with success rate p and Wn the unknown whose value is the number of trials to have the nth success. Then, the probability that the number of trials to get the 7th success is at most 10 is which of the following? (A) P(X10≥7)P(X10≥7) (B) P(X7<10)P(X7<10) (C) P(X10<7)P(X10<7) (D) P(W7≥10)

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

Q44 A biased coin shows heads with probability p (= 1- q). It is flipped repeatedly until the first time Wn by which it has shown n consecutive heads. Let E(s Wn) = Gn(s). Show that Gn = psGn-1/(1-qs Gn-1), and deduce that Gn(s) = (1-ps)p" sn 1-s+qpsn+1*