Which is a continuous random variable? Group of answer choices X = "the number of blue feathers on a Macaw Parrot" Z = "the number of twins born in the USA last year" Y = "the arrival time of a school bus" W = "lottery winners in the past 10 years"

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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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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Which is a continuous random variable?
Group of answer choices
X = "the number of blue feathers on a Macaw Parrot"
Z = "the number of twins born in the USA last year"
Y = "the arrival time of a school bus"
W = "lottery winners in the past 10 years"
Expert Solution
Step 1

Given: A group of answer choices:

X = "the number of blue feathers on a Macaw Parrot"
Z = "the number of twins born in the USA last year"
Y = "the arrival time of a school bus"
W = "lottery winners in the past 10 years"
 
A continuous random variable is a random variable in which data can take infinitely many values.
 
X = "the number of blue feathers on a Macaw Parrot":
Since the number of feathers is something that can be counted, hence it will have finite values so it is not a continuous random variable.
 
Z = "the number of twins born in the USA last year":
The number of twins born can also be counted and it will take only whole number values, therefore it is also not a continuous random variable.
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