Descriptive Statistics students were asked if they went out of the city during the vacation period, it was found that 45% of the students went to visit other places. If the information behaves like a binomial distribution and 10 students are randomly selected,

find the probability that:

Up to eight students have gone on vacation.

What is the E(X) for the students who did not leave the city?

six of the students have vacationed out of town.

At least 3 of the students have left.

No more than two students have visited other places.