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 probabili 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" B 1-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")k D (1-pk)n E (1-p)nk
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 probabili 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" B 1-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")k D (1-pk)n E (1-p)nk
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![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 probability ponto
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"
B 1-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") k D (1-pk)n E (1-p)nk
[Select]
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(1-(0.99)¹/n)
log(p)
A k2
B k>
log((0.99)¹/")
log(p)
log (1-(0.99)¹/n)
log(1-p)
[Select]
log(1-(0.01)")
log(p)
с
D k>
E k
1 log(0.01)
log(p)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a6b1bc8-8284-4cba-9dcf-cfbeea478688%2Fce0f120f-2436-4753-abf4-ddcd48d30043%2Ftpg1h0e_processed.png&w=3840&q=75)
Transcribed Image Text: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 probability ponto
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"
B 1-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") k D (1-pk)n E (1-p)nk
[Select]
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(1-(0.99)¹/n)
log(p)
A k2
B k>
log((0.99)¹/")
log(p)
log (1-(0.99)¹/n)
log(1-p)
[Select]
log(1-(0.01)")
log(p)
с
D k>
E k
1 log(0.01)
log(p)
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