Kiran surveyed a random sample of students in her school district, and she found these statistics:

P{rides bike to school}) = 0.1

P{has crossing guard}) = 0.48

P{rides bike and crossing guard}) = 0.12

Find the probability that a student rides a bike to school, given that the student's school has a crossing guard.

Question

Nick Bennett

Mathematics

11 February, 11:46

Kiran surveyed a random sample of students in her school district, and she found these statistics:

P{rides bike to school}) = 0.1

P{has crossing guard}) = 0.48

P{rides bike and crossing guard}) = 0.12

Find the probability that a student rides a bike to school, given that the student's school has a crossing guard.

+2

Answers (1)

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Jayden Leonard · Answer 1

These statistics are impossible: all students who ride bike and use crossing guard ride a bike, so the proportion of students who ride a bike and use the crossing guard must be less than or equal to the proportion of students who ride a bike. This is not true in the given stats; 0.12 > 0.1