It is claimed that 73% of all students at a college still need to take another math class. Baseed on this, if 49 students are randomly selected, find the probability that
a. Exactly 35 of them need to take another math class.
P(X = 35) =
b. At most 36 of them need to take another math class.
P(X ≤ 36) =
c. At least 34 of them need to take another math class.
P(X ≥ 34) =
d. Between 35 and 40 (including 35 and 40) of them need to take another math class.
P(35 ≤ X ≤ 40) =
e. The mean of this distribution is
μ =
f. The standard deviation of this distribution is
σ =