The number of absences for one week for all students at a high school were compiled, and the probability distribution below was created. What is the probability in any given week that a randomly selected student will be absent no more than one day? Probability Distribution Days Absent: X Probability: P(X) 0 0. 78 1 0. 14 2 0. 03 03 2000. 01 4 0 5 0. 04 0. 08 0. 14 0. 78 0. 92.

Respuesta :

The probability of randomly selected students who will be absent no more than one day is 0.92. Option D is correct.

What is the probability?

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.