Roughly 75% of students take the bus to school. If you were to ask 9 students in your class, what is the probability that at most 8 of them take the bus to school?
77.9%
90.4%
22.5%
92.5%​

Respuesta :

The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%

How to find the probability?

We know that roughly 75% of the students take the bus, then, if we select a student at random.

  • There is a probability of 0.75 that the student takes the bus.
  • There is a probability of 0.25 that the student does not take the bus.

The probability that at most 8 out of 9 students take the bus, is equal to one minus the probability of the 9 taking the bus, which is:

p = (0.75)^9 = 0.075

Then we have:

P = 1 - 0.075 = 0.925

The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%

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