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StatisticalLiteracy Consider the following two events for an individual: A = owns a cell phone B = owns a laptop computer
Translate each
(a)
(b) A and B(c) B\A
(c)A or B
(a)
The translation of
Answer to Problem 1CR
Solution: The individual does not own a cell phone.
Explanation of Solution
Given: A = the event that an individual owns a cell phone.
The complement of an event A is denoted as
According to the provided information for an individual, the event A is defined as ‘owns a cellphone’. So, the complement of event A is ‘the individual does not own a cellphone’.
(b)
The translation of
Answer to Problem 1CR
Solution: The event that an individual owns a cell phone and a laptop computer.
Explanation of Solution
Given: A = an individual owns a cell phone, B = an individual owns a laptop computer.
Both the events A and B, occurring together is denoted as
According to the provided information for an individual, the event A is defined as ‘owns a cellphone’ and the event B is defined as ‘owns a laptop computer’. So, both the events A and B occurring together can be defined as ‘the individual owns a cellphone and a laptop computer’.
(c)
The translation of
Answer to Problem 1CR
Solution: The individual owns either a cell phone or a laptop computer or both.
Explanation of Solution
Given: A = an individual owns a cell phone, B = an individual owns a laptop computer.
The occurrence of either event A or B or both is denoted as
According to the provided information for an individual, the event A is defined as ‘owns a cellphone’ and the event B is defined as ‘owns a laptop computer’. So, the occurrence of either event can be defined as ‘the individual owns a cellphone or a laptop computer or both’.
(d)
The translation of
Answer to Problem 1CR
Solution: The individual is a laptop computer owner who owns a cellphone.
Explanation of Solution
Given: A = an individual owns a cell phone, B = an individual owns a laptop computer.
The occurrence of event A given that event B has occurred is denoted as
According to the provided information for an individual, the event A is defined as ‘owns a cellphone’ and the event B is defined as ‘owns a laptop computer’. So, the occurrence of A given that event B has occurred is defined as ‘the individual who is an owner of a laptop computer, owns a cellphone’.
(e)
The translation of
Answer to Problem 1CR
Solution: The individual is a cellphone owner who owns a laptop computer.
Explanation of Solution
Given: A = an individual owns a cell phone, B = an individual owns a laptop computer.
The occurrence of event B given that the event A has occurred is denoted as
According to the provided information for an individual, the event A is defined as ‘owns a cellphone’ and the event B is defined as ‘owns a laptop computer’. So, the occurrence of event B given that event A has occurred can be defined as ‘the individual who is an owner of a cellphone, owns a laptop computer’.
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Chapter 5 Solutions
UNDERSTANDING BASIC STAT LL BUND >A< F
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