Scene: The senior talent show is scheduled to take place this afternoon. Michael Senatore is in stats class practicing his act - bottle flipping. He tells his friends that the probability of successfully landing the water bottle right side up is 20%. Assume that each water bottle flip is independent. 1. If he flips the bottle ten times, how many do you expect to land right side up? Justify. 2. What is the probability that he makes exactly two flips? 3. What is the probability that he makes less than two flips?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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How Many Bottle Flips to Go Viral?
Scene: The senior talent show is scheduled to take place this afternoon. Michael Senatore is in
stats class practicing his act - bottle flipping. He tells his friends that the probability of successfully
landing the water bottle right side up is 20%. Assume that each water bottle flip is independent.
1. If he flips the bottle ten times, how many do you expect to land right side up? Justify.
2. What is the probability that he makes exactly two flips?
3. What is the probability that he makes less than two flips?
4. What is the probability that he makes at most two flips?
After the first ten flips, Michael wants to do ten more, but his teacher is getting annoyed with all the noise
and tells him he must stop flipping once the bottle lands right side up.
5. Find the probability that he lands it on the first try.
6. Find the probability that he fails on the first try and lands it on the second try.
7. Find the probability that he fails the first two and lands it on the third try.
8. Find the probability that he fails the first three and lands it on the fourth try.
Let X = the number of flips it takes for Michael to land the bottle right side it up. Fill in the table below.
X
P(X)
1
2
3
SHOW YOUR
TALENT
4
5
6
9. Find the probability that he lands it on the tenth try. Write a generic rule for finding the probability
that he first lands the bottle on the kth flip.
10. How many flips do you expect it to take for the bottle to land right side up? Why?
Transcribed Image Text:How Many Bottle Flips to Go Viral? Scene: The senior talent show is scheduled to take place this afternoon. Michael Senatore is in stats class practicing his act - bottle flipping. He tells his friends that the probability of successfully landing the water bottle right side up is 20%. Assume that each water bottle flip is independent. 1. If he flips the bottle ten times, how many do you expect to land right side up? Justify. 2. What is the probability that he makes exactly two flips? 3. What is the probability that he makes less than two flips? 4. What is the probability that he makes at most two flips? After the first ten flips, Michael wants to do ten more, but his teacher is getting annoyed with all the noise and tells him he must stop flipping once the bottle lands right side up. 5. Find the probability that he lands it on the first try. 6. Find the probability that he fails on the first try and lands it on the second try. 7. Find the probability that he fails the first two and lands it on the third try. 8. Find the probability that he fails the first three and lands it on the fourth try. Let X = the number of flips it takes for Michael to land the bottle right side it up. Fill in the table below. X P(X) 1 2 3 SHOW YOUR TALENT 4 5 6 9. Find the probability that he lands it on the tenth try. Write a generic rule for finding the probability that he first lands the bottle on the kth flip. 10. How many flips do you expect it to take for the bottle to land right side up? Why?
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