Problem 3. Suppose that a fair coin is tossed repeatedly until a head is obtained for the first time.(A) What is the expected number of tosses that will be required?(B) What is the expected number of tails that will be obtained before the first head is obtained?

a. The expected number of tosses required to get the first head is 2. b. we expect to get 1 tail…

Answered: Problem 3. Suppose that a fair coin is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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9. One box contains six red balls and four green balls, and a second box contains seven red balls and three green balls. A ball is randomly chosen from the first box and placed in the second. Then a ball is randomly selected from the second box and placed in the first box. (a) What is the probability that a red ball is selected from the first box and a red ball is selected from the second box? (b) At the conclusion of the selection process, what is the probability that the mmbers of red and green balls in the first box are identical to the numbers at the beginning? 10. One in every 100 people are infected by a virus. A test is used to determine whet her a person is infected. If a person is infected, the test is positive 70% of the time, but if the person is not infected, the test is still positive 10% of the time. (a) If a person tests positive, what is the probability that the person is infected? (b) If a person tests negative, what is the proba bility that the person is not infected?
1. (a) Suppose that 10 cookies are distributed among 5 distinct children, what is the probability that every student get at least one cookie? (b) If n cookies are distributed among 32 distinct children, what is the probability in terms of n that at least one student gets none?
You have 3 quarters and 4 dimes in your pocket. You draw two out at random. What is the expected value of the coins in cents that you draw?

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Problem 3. Suppose that a fair coin is tossed repeatedly until a head is obtained for the first time. (A) What is the expected number of tosses that will be required? (B) What is the expected number of tails that will be obtained before the first head is obtained?