Probability of people having answering machines

In summary, according to a research company survey, 70% of telephone subscribers have an answering machine. If a telemarketing campaign contacts 200 telephone subscribers, there is a probability of approximately 0.933 of 150 or more subscribers having an answering machine. This can be argued using the binomial distribution, with an expected value of 140 and a standard deviation of approximately 3.76. Alternatively, the normal distribution with the same mean and standard deviation can be used, with the integer correction of rounding 149.5 to 150.
  • #1
Larrytsai
228
0
According to a research company survey, 70% of telephone subscrivers have an answering machine. If a telemarketing campaign contacts 200 telephone subscribers, what is the probability that 150 or more iwll have an answering machine?

Im lost for the tree diagram but and i have no clue for what method but my attempt was 0.7x 200 = 140 then 140/150, 1-(140/150)
 
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  • #2


Have you learned about binomial distribution yet?
Then can you argue that the number of subscribers that has an answering machine is binomially distributed?
 
  • #3


Of 200 people, 70% of whom, have answering machines, what is the "expected value" (mean) of the number who have answering machines? What is the standard deviation?

And if the number, 200, makes the calculations too tedious, you could use the "normal distribution approximation"- the normal distribution having the same mean and standard deviation. Don't forget to use the "integer correction". Since the normal distribution is a continuous distribution while the binomial is discrete, 149.5 would be rounded to 150.
 

What is the probability of people having answering machines?

The probability of people having answering machines depends on various factors such as geographical location, income level, and age. It is difficult to give a specific probability, but according to a survey conducted by the National Center for Health Statistics in 2017, approximately 42% of households in the United States have landline telephone answering machines.

How does the probability of people having answering machines differ based on geographical location?

The probability of people having answering machines can vary greatly depending on the geographical location. For example, in areas with a higher income level, the probability of having answering machines may be higher due to the cost of purchasing and maintaining them. Additionally, in rural areas, the probability may be lower due to limited availability of phone services.

Does income level affect the probability of people having answering machines?

Yes, income level can have a significant impact on the probability of people having answering machines. As mentioned earlier, higher income levels may increase the likelihood of having answering machines due to the cost of purchasing and maintaining them. Lower income levels may also have a lower probability as they may not have the resources to invest in such devices.

How does age play a role in the probability of people having answering machines?

Age can also affect the probability of people having answering machines. In general, older individuals may be more likely to have answering machines as they tend to have more traditional landline phone services. On the other hand, younger individuals may rely more on their cell phones and may not see the need for an additional answering machine.

Is there a trend in the probability of people having answering machines over time?

Yes, there has been a decline in the probability of people having answering machines over time. As technology advances, more people are switching to cell phone services, which often include voicemail features. This has led to a decrease in the demand for traditional landline answering machines. Additionally, with the rise of smartphones, many people now have the option to access their voicemail remotely, making answering machines less necessary.

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