1. ComputeΣ
3-4
k=0
2. Compute
X(1 — x)3dx
3. Let f(x) = e-* – e-34. Compute limx→+00 f(x), limo–0 f(x) and df (x)/dx.
4. Compute
1
Se Sve=dedy
5. Let S be the event that a randomly selected college student has taken a statistics course,
and let C be the event that the same student has taken a chemistry course. Suppose
P(S) = 0.4, P(C) = 0.2, and P(SNC) = 0.05.
(a) What is the probability that the student has taken neither statistics nor chemistry?
(b) What is the probability that the student has taken either statistics or chemistry or
both?
(c) What is the probability that the student has taken statistics but not chemistry?