A group of middle and high school students are surveyed as to their breakfast preferences. The results are shown below.
Eat Breakfast
Skip Breakfast
Middle Schooler
40
14
High Schooler
12
24
Total
52
38
What is the probability a randomly selected student eats breakfast?
What is the probability a randomly selected student is a middle schooler?
What is the probability a randomly selected student is either a high schooler OR eats breakfast?
What is the probability a randomly selected student is a high schooler AND eats breakfast?
What is the probability a randomly selected student is a high schooler, given that they eat breakfast?
What is the probability a randomly selected student eats breakfast given the student is a high schooler?
Total
54
36
90

Question

Gabcat2005idn Gabcat2005idn

02-06-2022
Mathematics

Answered

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A group of middle and high school students are surveyed as to their breakfast preferences. The results are shown below.
Eat Breakfast
Skip Breakfast
Middle Schooler
40
14
High Schooler
12
24
Total
52
38
What is the probability a randomly selected student eats breakfast?
What is the probability a randomly selected student is a middle schooler?
What is the probability a randomly selected student is either a high schooler OR eats breakfast?
What is the probability a randomly selected student is a high schooler AND eats breakfast?
What is the probability a randomly selected student is a high schooler, given that they eat breakfast?
What is the probability a randomly selected student eats breakfast given the student is a high schooler?
Total
54
36
90

Sagot :

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Ewomazinoadeidn Ewomazinoadeidn · Answer 1 · 2022-06-07T09:47:29-04:00

The probability a randomly selected student eats breakfast is 0.58.

The probability a randomly selected student is a middle schooler is 0.60.

The probability a randomly selected student is either a high schooler OR eats breakfast is 0.98.

The probability a randomly selected student is a high schooler AND eats breakfast is 0.23.

The probability a randomly selected student is a high schooler, given that they eat breakfast is 0.33.

The probability a randomly selected student eats breakfast given the student is a high schooler is 0.23.

What are the probabilities?

The probability a randomly selected student eats breakfast = number of students that eat breakfast / total number of students

52 / (52 + 38) = 0.58.

The probability a randomly selected student is a middle schooler = total number of middle schoolers / total number of students = (40 + 14) / 90 = 0.60.

The probability a randomly selected student is either a high schooler OR eats breakfast = (total number of high schoolers / total number of students) + (number of students that eat breakfast / total number of students) = 36 / 90 + 52 / 90 = 0.98.

The probability a randomly selected student is a high schooler AND eats breakfast = (total number of high schoolers / total number of students) x (number of students that eat breakfast / total number of students) = 36 / 90 x 52 / 90 = 0.23.

The probability a randomly selected student is a high schooler, given that they eat breakfast = high schooler that eats breakfast / total number of students that eat breakfast

12 / 52 = 0.33.

The probability a randomly selected student eats breakfast given the student is a high schooler = high schooler that eats breakfast / total number of high schoolers = 12 / 36 = 0.23.

To learn more about probability, please check: https://brainly.com/question/13234031

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Sagot :

What are the probabilities?

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