Mathematics
09.07.2020 09:52
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Before they graduate from great lakes high school, all 12th grade students fill

Before they graduate from great lakes high school, all 12th grade students fill out a survey about their future college plans.
1. are you attending an in-state college after high school graduation?
2. will you begin college during the summer semester?
the same group of students questions recorded on the table above.
1. determine the probability college during the summer semester and attend an in-state college.
2. determine the probability that the student will begin college during the summer semester given that heโ€™s attending it in state college.
(pretty iโ€™m so close to being )
Before they graduate from great lakes high school, all 12th grade students fill out a survey about t
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Xapper14x
Xapper14x
5,0(36 marks)
\displaystyle \frac{89}{331} \approx 26.9\%.\displaystyle \frac{178}{479}\approx 37.1\%.

Step-by-step explanation:

Let \mathrm{A} represent the event that the student is attending an in-state college. Let \mathrm{B} represent the event that the student will be in college during the summer semester.

1.

The first question is asking for the chance that the student will is attending an in-state college and will start during the summer semester. That probability can be written as P(\mathrm{A\cap B}).

\mathrm{A\cap B} is the intersection of the two events. On the table, the number of students that satisfy this condition is in the cell at the intersection of

the column of in-state college students, andthe row of students that will begin college during the summer semester.

There are 178 students that satisfy the condition \mathrm{A\cap B}.

The probability in question one does not specify any "given" condition. The denominator of this probability will thus be the number of all students in this survey. Cells in this table are mutually exclusive and covers all students in the survey. There are thus 178 + 21 + 301 + 162 = 668 students in this survey.

\displaystyle P(\mathrm{A\cap B}) = \frac{178}{178 + 21 + 301 + 162} = \frac{89}{331} \approx 26.9\%.

2.

This question states the condition "given" that the student is attending an in-state college. In other words, that student needs to be chosen from the first column of students that are attending an in-state college.

The numerator will still be 178, the number of students that attend in-state colleges and begin college in the summer semester. However, the denominator will only be the sum of the two cells in the first column. That is: 178 + 301 = 479. The probability will be:

\displaystyle P(\mathrm{A|B}) = \frac{178}{178 + 301} = \frac{178}{479} \approx 37.1\%.

Bbmonstr8279
Bbmonstr8279
4,9(83 marks)

Idek

Step-by-step explanation:

Ya um I just need points

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