Professor Nowotny likes to cook. He cuts his potatoes into thin slices and fries them in a pan. He puts them in and occasionally tosses them. At each toss the potato slices fall independently of each other with pr the same side and probability 1-p onto the other side. Q1: For n slices, what is the probability that they all fall back onto the same side in a single toss? A p" B1-p" C n p Dn (1-p) E (1-P)" [Select] Q2: He has n slices and tosses k times. What is the probability that all slices have both sides fried, i.e. have fallen at least once on the other side? Ak-p" Bn p C (1-p") D (1-pk)n E (1-p)nk [Select] v Q3: Professor Nowotny has n slices in the pan and would like to have them all fried on both sides with probability >99%. How many times k does he need to toss at least? log(0.01) Ek D KZ log(P) log (1-(0.01)") log(p) C kz log(1-(0.99)/") log(p) log((0.99)¹/) log(p) A k2 [Select] V B k> log(1-(0.99)¹/") log(1-p)
Professor Nowotny likes to cook. He cuts his potatoes into thin slices and fries them in a pan. He puts them in and occasionally tosses them. At each toss the potato slices fall independently of each other with pr the same side and probability 1-p onto the other side. Q1: For n slices, what is the probability that they all fall back onto the same side in a single toss? A p" B1-p" C n p Dn (1-p) E (1-P)" [Select] Q2: He has n slices and tosses k times. What is the probability that all slices have both sides fried, i.e. have fallen at least once on the other side? Ak-p" Bn p C (1-p") D (1-pk)n E (1-p)nk [Select] v Q3: Professor Nowotny has n slices in the pan and would like to have them all fried on both sides with probability >99%. How many times k does he need to toss at least? log(0.01) Ek D KZ log(P) log (1-(0.01)") log(p) C kz log(1-(0.99)/") log(p) log((0.99)¹/) log(p) A k2 [Select] V B k> log(1-(0.99)¹/") log(1-p)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 3P: Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the...
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