Question

In: Statistics and Probability

62% of all students at a college still need to take another math class. If 4...

62% 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.

Solutions

Expert Solution

Solution: Given that n = 4, p = 0.62

a. P(X = 2) = 0.3330

b. P(X <= 2) = 0.49

c. P(X >= 2) = 0.8431

d. P(2 <= X <= 3) = 0.6953


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