63% of all students at a college still need to take another math class. If 4 students are randomly selected, find the probability that

a. Exactly 2 of them need to take another math class.

b. At most 2 of them need to take another math class.

c. At least 2 of them need to take another math class.

d. Between 2 and 3 (including 2 and 3) of them need to take another math class.

**Round all answers to 4 decimal places.**

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