Question

2. Create an estimated probability distribution for the time teens spend texting.

Answer 1

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

Step-by-step explanation:

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Answer 2

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*)=$\frac{Frequency.Sample.Size.of.that.hour}{Total.Sample.Size}$

For Example:

Estimated probability distribution that teens spend 0 hours texting=$\frac{170}{870} =0.20$

Similarly

Estimated probability distribution that teens spend 0.5 hours=$\frac{82}{870} =0.09$

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)