The probability that more than 3 people are absent is 0.45906.
Given, In a class of 16 persons, a student has a 1/25 chance of being absent from class.
we have to find the probability that more than 3 people are absent,
Required Probability = 1 - Probability of no student absent - Probability of 1 student absent - Probability 2 students absent - Probability of 3 students absent
Probability of no student absent = (24/25)^16 = 0.52
Probability of 1 student absent = (1/25)(24/25)^15 = 0.02
Probability 2 students absent = (1/25)^2(24/25)^14 = 0.0009
Probability of 3 students absent = (1/25)^3(24/25)^13 = 0.00004
Required Probability = 1 - 0.52 - 0.02 - 0.0009 - 0.00004
Required Probability = 1 - 0.54094
Required Probability = 0.45906
Hence, the probability that more than 3 people are absent is 0.45906.
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