Concept explainers
(a)
Obtain the probability that a student chosen at random does not miss any days of school due to sickness this year.
(a)
Answer to Problem 12E
The probability that a student chosen at random does not miss any days of school due to sickness this year is 0.32.
Explanation of Solution
Calculation:
Based on the given information, the following information is known:
The probability that a student chosen at random does not miss any days of school due to sickness this year is given below:
(b)
Obtain the probability that a student chosen at random misses no more than one day.
(b)
Answer to Problem 12E
The probability that a student chosen at random misses no more than one day is 0.57.
Explanation of Solution
Calculation:
From Part (a), it known that
The probability that a student chosen at random misses no more than one day is given below:
(c)
Obtain the probability that a student chosen at random misses at least one day.
(c)
Answer to Problem 12E
The probability that a student chosen at random misses at least one day is 0.57.
Explanation of Solution
Calculation:
The probability that a student chosen at random misses at least one day is given below:
(d)
Obtain the probability that neither kid will miss any school, if a parent has two kids at the County D elementary school.
(d)
Answer to Problem 12E
The probability that neither kid will miss any school is 0.1024.
Explanation of Solution
Calculation:
In this context, it is assumed that neither kid missing the school is independent.
From Part (a), it is known that
If a parent has two kids at the County D elementary school, the probability that neither kid will miss any school is shown below:
(e)
Obtain the probability that both kids will miss some school if a parent has two kids at the County D elementary school.
(e)
Answer to Problem 12E
The probability that both kids will miss some school is 0.4624.
Explanation of Solution
Calculation:
In this context, it is assumed that each kid missing the school is independent.
From Part (c), it is known that
If a parent has two kids at the County D elementary school, the probability that both kids will miss any school is shown below:
(f)
State whether it is reasonable to make assumption in Part (d) and Part (e).
(f)
Explanation of Solution
It is not reasonable to make assumptions in Part (d) and Part (e) because the 1st kid missing the school due to sickness may affect the other kid going to school, as it increases the probability of the 2nd kid falling sick.
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Chapter 3 Solutions
OPENINTRO:STATISTICS
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