The probability of randomly selected students who will be absent no more than one day is 0.92. Option D is correct.
The probability is defined as the number of favorable occurrences of an event.
Given the probability distribution of the number of absence for one week,
x: 0 1 2 3 4 5
P(X): 0.78 0.14 0.03 0.01 0 0.04
We know that the probability of any event is always less than equal to 1. We can write that, [tex]P(x\leq 1)[/tex].
So the probability of randomly selected students who will be absent no more than one day is calculated as given below.
[tex]P = P (x=0) + P(x=1)\\P = 0.78 + 0.14[/tex]
[tex]P = 0.92[/tex]
Hence we can conclude that the probability of randomly selected students who will be absent no more than one day is 0.92. Option D is correct.
To know more about the probability, follow the link given below.
https://brainly.com/question/795909.