contestada

In a survey of thousands of college students, 46% of the respondents reported falling asleep in class due to poor sleep. You randomly sample 10 students in your dorm and eight state that they fell asleep in class during the last week due to poor sleep.

Find the probability that at least 8 students of the 10 fell asleep in class last week.

Respuesta :

fichoh

Using the binomial probability relation ; the probability that atleast 8 students fell sleep in the class is 0.0317

Using the binomial probability relation :

  • P(x = x) = nCx * p^x * q^(n-x)
  • p = probability of success = 46% = 0.46
  • q = 1 - p = 0.54
  • n = number of trials = 10

P(x ≥ 8) = p(x = 8) + p(x = 9) + p(x = 10)

Using a binomial probability calculator :

P(x ≥ 8) = 0.0263 + 0.00498 + 0.00042

P(x ≥ 8) = 0.0317

Therefore, the probability that atleast 8 of the students fell asleep is 0.0317

Learn more :https://brainly.com/question/12474772

Otras preguntas