The problem is not clearly worded . . .
The phrase "as many as 30" does not have a standard interpretation.ast records show that at a given college 20% of the students who began as psychology majors
either changed their major or dropped out the school.
An incoming class has 110 beginning psychology majors.
What is the probability that as many as 30 of these students leave the psychology program?
Does it mean up to 30?
. . If so, the probability is unreasonably huge.
We must find the probabilities that: 0 leave, 1 leaves, 2 leave, 3 leave, 4 leave, 5 leave, 6 leave,
. . 7 leave, 8 leave, 9 leave, 10 leave, 11 leave, 12 leave, . . . 28 leave, 29 leave, and 30 leave
. . and add them up.
If it means exactly 30 leave, it is still an unwieldly number: .