Question

In: Math

Among the students at a particular college, the mean number of days absent from classes is...

Among the students at a particular college, the mean number of days absent from classes is 3.5 with a standard deviation of 1.2. Assuming absences at the college are normally distributed determine the probability that 3 students all missed 5 days or more days.

Solutions

Expert Solution

Given that ,

mean = = 3.5

standard deviation = = 1.2

n = 3

= = 3.5  

= / n = 1.2/ 3 = 0.6928

P( ≥ 5) = 1 - P( ≤ 5)

= 1 - P[( - ) / ≤ (5-3.5) /0.6928 ]

= 1 - P(z ≤ 2.17)

= 1 - 0.9808 = 0.0192

probability = 0.0192

Probability =


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