In a national survey college students were asked, "How often do you wear a seat belt when riding in a car driven by someone else?" The response frequencies appear in the table to the right. (a) Construct a probability model for seat-belt use by a passenger. (b) Would you consider it unusual to find a college student who never wears a seat belt when riding in a car driven by someone else? Response Frequency Frequency Never 113 113 Rarely 324 324 Sometimes 533 533 Most of the time 1388 1388 Always 2760 a) Complete the table below. Response Probability Never nothing
response | Frequency |
Never | 113 |
rarely | 324 |
sometimes | 533 |
most of times | 1388 |
always | 2760 |
total | 5118 |
a)
dividing each cell frequency with 5118 ; below is the probability model:
response | Frequency |
Never | 0.0221 |
rarely | 0.0633 |
sometimes | 0.1041 |
most of times | 0.2712 |
always | 0.5393 |
b)
as probability of finding a college student who never wears a seat belt when riding in a car driven by someone else is less then 0.05 ; therefore it is an unusual event,
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