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(a)
Probability for the person not aged 18 − 34 and does not own an iPhone.
(a)
Answer to Problem 43E
Probability that the person not aged 18 − 34 and does not own iPhone is approx. 0.5973.
Explanation of Solution
Given information:
Data summarized in two − way table:
The table consists of data about 2024 adult cell − phone users.
Thus,
The number of possible outcomes is 2024.
Now,
The people not aged 18 − 34 and do not own iPhone are as follows:
Android users (other than aged 18 − 34):
189 adults aged 35 − 54 use Android.
100 adults aged 55+ use Android.
Other cell − phone users (other than aged 18 − 34):
277 adults aged 35 − 54 use other cell − phones.
643 adults aged 55+ use other cell − phones.
When we sum up all the above counts, it becomes 1209.
That means
1209 adults not aged 18 − 34 do not own an iPhone.
Thus,
The number of favorable outcomes is 1209.
If we divide number of favorable outcomes by number of possible outcomes, we get the probability.
Thus,
Probability for the person not aged 18 − 34 and does not own an iPhone is approx. 0.5973
(b)
Probability for the person aged 18 − 34 or owns an iPhone.
(b)
Answer to Problem 43E
Probability that the person aged 18 − 34 or owns an iPhone is approx. 0.4027.
Explanation of Solution
Given information:
Data summarized in two − way table:
The table consists of data about 2024 adult cell − phone users.
Thus,
The number of possible outcomes is 2024.
Now,
For people aged 18 − 34 or own an iPhone:
Aged18 − 34:
517 of 2024 adults are aged 18 − 34.
iPhone users (other than aged 18 − 34):
171 adults aged 35 − 54 use iPhone.
127 adults aged 55+ use iPhone.
When we sum up all the above counts, it becomes 815.
That means
815 adults aged 18 − 34 or own an iPhone.
Thus,
The number of favorable outcomes is 815.
If we divide number of favorable outcomes by number of possible outcomes, we get the probability.
Thus,
Probability for the person aged 18 − 34 or owns an iPhone is approx. 0.4027.
Chapter 5 Solutions
EBK PRACTICE OF STAT.F/AP EXAM,UPDATED
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