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Frequency and probability analysis of seatbelt survey

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Use the frequency distribution, which shows the response of a survey of college students when asked, "How often do you wear a seat belt when riding in a car driven by someone else?" Find the following probabilities of responses of college students from the survey chosen at random.

RESPONSE FREQUENCY
Never 132
Rarely 313
Sometimes 516
Most of the time 1257
Always 2352

Complete Table with Probabilities.

RESPONSE PROBABILITY (round to nearest thousandths)
Never ?
Rarely ?
Sometimes ?
Most of the time ?
Always ?

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This solution answer a problem regarding frequency and probability.

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Use the frequency distribution, which shows the response of a survey of college students when asked, "How often do you wear a seat belt when riding in a car driven by someone else?" Find the following probabilities of ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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