Concept explainers
The
Answer to Problem 4.3.20RE
The probability that all four labels are applied correctly has
The probability that exactly three labels were applied correctly has
The probability that exactly two labels were applied correctly has
The probability that at least one label was applied correctly has
Explanation of Solution
Given info:
There are four packages without shipping labels, a person applies labels for all the four packages.
Calculation:
The possible ways to apply the labels on four packages are given below:
Where, C represents the correct placement of labels and I represents the incorrect placement of labels.
The probability that a label is correct has
The probability that a label is incorrect has
The probability that all four labels were applied correctly is given below:
Thus, the probability that all four labels were applied correctly is
The probability that exactly three labels were applied correctly is given below:
Let A be the
There are 4 ways to apply exactly three correct labels
The probability that exactly three labels were applied correctly is
Thus, the probability that exactly three labels were applied correctly is
The probability that exactly two labels were applied correctly is given below:
Let B be the event of applying exactly two correct labels,
There are 6 ways to apply exactly two correct labels
The probability that exactly two labels were applied correctly is
Thus, the probability that exactly two labels were applied correctly is
The probability that at leastone label was applied correctly is given below:
Thus, the probability that at least one label was applied correctly is
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Chapter 4 Solutions
Elementary Statistics: A Step-by-Step Approach with Formula Card
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