I tried and found the last one but the two first looks so hard to me :(
At a local community college, 57% of students who enter the college as freshmen go on to graduate. Eight freshmen are randomly selected.
1.
What is the probability that none of them graduates from the local college? (Round your intermediate calculations and final answer to 4 decimal places.)
2. What is the probability that at most seven will graduate from the local college?
3 I FOUND THE LAST ONE BUT I CAN'T FIND THE TWO FIRST ...
What is the expected number that will graduate? = 4.56
ANYONE CAN HELP ME PLEASE : (
The probability that one does not graduate is 0.43 (1.00 - 0.57 = 0.43.)
The probability that all 8 do not graduate is 0.438 = 0.0012.
Either all eight graduate or at most seven graduate.
So the probability that at most seven graduate is 1.0000 - probability that all eight graduate.
The probability that all eight graduate is 0.578 = 0.0111.
So the probability that at most seven will graduate is 1.0000 - 0.1111 = 0.9889.