Good evening, I wanted to know if someone could correct this exercise if possible, with a detailed explanation (calculation...). I did not understand everything . I just believe in using the Poisson distribution, and that's the binomial distribution as well.

A survey found that the likelihood of a bus being less than 6 minutes late at a station S is0.85

The delays are assumed to be independent of each other.

We will give the results to within 103by excess. A high school student takes the bus five times in one week at station S. Let X denote the random variable equal to the number of days he waited less than 6 minutes. Give the probability of X.

Reference :

level : Terminal class( senior year)

course : random variables

I am a french student in a teaching master.