Six out of 10 students said they prefer face to face to online classes. Mr. August is not so sure and asked 8 students.

What is the probability that:

1. At least 5 of them say they prefer face to face to online classes.
2. At least 7 of them say they prefer face to face to online classes.
3. At most 5 of them say they prefer face to face to online classes
4. For values of x=0 to 8, determine the probabilities of this binomial probability distribution and find the mean, variance and standard deviation of students who say they prefer face to face to online classes.