Question

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. (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? (1) complete the table below. probability (round to the nearest thousandth as needed.) response never rarely sometimes most of the time always probability 0.024 0.072 0.114 0.271 0.519 (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? (round to the nearest thousandth as needed.) no, because the probability of an unusual event is 0.

Explanation:

Step1: Calculate total number of students

The total number of students is the sum of the frequencies in the table. So, $112 + 332+527 + 1250+2398=4619$.

Step2: Calculate probability for each response

Never

The probability that a student never wears a seat - belt is $\frac{112}{4619}\approx0.024$.

Rarely

The probability that a student rarely wears a seat - belt is $\frac{332}{4619}\approx0.072$.

Sometimes

The probability that a student sometimes wears a seat - belt is $\frac{527}{4619}\approx0.114$.

Most of the time

The probability that a student most of the time wears a seat - belt is $\frac{1250}{4619}\approx0.271$.

Always

The probability that a student always wears a seat - belt is $\frac{2398}{4619}\approx0.519$.

Answer:

Never: $0.024$, Rarely: $0.072$, Sometimes: $0.114$, Most of the time: $0.271$, Always: $0.519$