Answer:
Hours 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
Frequency* 0.2 0.09 0.25 0.18 0.11 0.07 0.05 0.02 0.01 0.02 0.01
Problem Statement:
The table shows the number of hours, to the nearest half hour per day, that teens spend texting according to a random sample of 870 teenagers aged 13–18 in a large urban city.
Hours 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
Frequency 170 82 220 153 92 58 40 15 12 18 10
Step-By-Step Explanation:
As we need the estimated probability distribution for teens spending time texting, we will be needing the total sample size.
As given in the problem statement,
Total Sample Size = 870
To calculate estimated probability distribution, we will convert the frequency sample into estimated probability distribution, for that:
Estimated Probability Distribution (Frequency*)=[tex]\frac{Frequency.Sample.Size.of.that.hour}{Total.Sample.Size}[/tex]
For Example:
Estimated probability distribution that teens spend 0 hours texting=[tex]\frac{170}{870} =0.20[/tex]
Similarly
Estimated probability distribution that teens spend 0.5 hours=[tex]\frac{82}{870} =0.09[/tex]
Using the same formula we get:
Hours 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
Frequency* 0.2 0.09 0.25 0.18 0.11 0.07 0.05 0.02 0.01 0.02 0.01
(Note: Frequency* is the estimated probability distribution)
