Select two situations from the list below that could be modelled using the binomial distribution. For each of the situations, explain: 1. Why the situation can be modelled by the binomial distribution 2. What is a "success" and what is a "failure" 3. n=

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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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Select two situations from the list below that could be modelled using the
binomial distribution. For each of the situations, explain:
1. Why the situation can be modelled by the binomial distribution
2. What is a "success" and what is a "failure"
3. n= p=
Situation
A A bag contains red, green and blue balls. 10 balls are taken at random, one
at a time. Each ball's colour is recorded, and then returned to the bag.
B A coin is flipped until a tail is obtained. The total number of flips needed is
recorded.
C The number of rainy days in April in the village of Springfield is recorded.
D The children in a class each do the same mathematics test. The number who
score above 80% is recorded.
E Five fair coins are stuck to a piece of clear plastic. The plastic is flipped in
the air, and the number of heads showing when the plastic lands is recorded.
person plays a lottery every week. They record the number of times they
win a prize during one year.
G A cancer drug is being tested. 1000 patients are given the dru9, and the
number of patients who die within five years is recorded.
Transcribed Image Text:Select two situations from the list below that could be modelled using the binomial distribution. For each of the situations, explain: 1. Why the situation can be modelled by the binomial distribution 2. What is a "success" and what is a "failure" 3. n= p= Situation A A bag contains red, green and blue balls. 10 balls are taken at random, one at a time. Each ball's colour is recorded, and then returned to the bag. B A coin is flipped until a tail is obtained. The total number of flips needed is recorded. C The number of rainy days in April in the village of Springfield is recorded. D The children in a class each do the same mathematics test. The number who score above 80% is recorded. E Five fair coins are stuck to a piece of clear plastic. The plastic is flipped in the air, and the number of heads showing when the plastic lands is recorded. person plays a lottery every week. They record the number of times they win a prize during one year. G A cancer drug is being tested. 1000 patients are given the dru9, and the number of patients who die within five years is recorded.
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