Explanation:

Question

asked 2021-05-18

asked 2020-10-19

Researchers carried out a survey of fourth-, fifth-, and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. This two-way table summarizes the survey data.

\(\begin{array} {|c|} & Grade \ Most important & \begin{array}{l|c|c|c|c} & \begin{array}{c} 4 \mathrm{th} \ grade \end{array} & \begin{array}{c} 5 \mathrm{th} \ \text { grade } \end{array} & \begin{array}{c} 6 \mathrm{th} \ grade \end{array} & Total \\ \hline Grades & 49 & 50 & 69 & 168 \\ \hline Athletic & 24 & 36 & 38 & 98 \\ \hline Popular & 19 & 22 & 28 & 69 \\ \hline Total & 92 & 108 & 135 & 335 \end{array} \ \end{array}\)

Suppose we select one of these students at random. What's the probability that: The student is a sixth grader or a student who rated good grades as important?

asked 2021-02-09

Researchers carried out a survey of fourth-, fifth- and sixth-grade students in Michigan. Students were asked whether good grades, athletic ability, or being popular was most important to them. The two-way table summarizes the survey data.

\(\begin{array}{c|c} & 4th\ grade & 5th\ grade & 6th\ grade &Total \\ \hline Grades &49&50&69&168\\ Athletic &24&36&38&98\\ Popular\ &19&22&28&69\\ \hline Total & 92 & 108 & 135 &335 \end{array}\)

Suppose we select one of these students at random. What's the probability of each of the following? The student is not a sixth-grader and did not rate good grades as important.

\(\begin{array}{c|c} & 4th\ grade & 5th\ grade & 6th\ grade &Total \\ \hline Grades &49&50&69&168\\ Athletic &24&36&38&98\\ Popular\ &19&22&28&69\\ \hline Total & 92 & 108 & 135 &335 \end{array}\)

Suppose we select one of these students at random. What's the probability of each of the following? The student is not a sixth-grader and did not rate good grades as important.

asked 2021-09-15

The following two-way table displays information about favorite sports cars that resulted from a survey given to all students at Shore High School.
\begin{array}{|l|c|c|c|c|} \hline
& \text { Corvette (C) } & \text { Porsche (P) } & \text { Ferrari (F) } & \text { Total } \ \hline
\text { Boys (B) } & 90 & 60 & 120 & 270 \ \hline
\text { Girls (G) } & 110 & 141 & 79 & 330 \ \hline
\text { Total } & 200 & 201 & 199 & 600 \ \hline
\end{array}
What is the probability that a randomly selected student from this school prefers Corvettes, given that the student is a girl?