A student is working on a quiz containing 15 multiple choice questions. The probability that the student gets correct an

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A student is working on a quiz containing 15 multiple choice
questions. The probability that the student gets correct answer for
a multiple choice question is 𝑝=0.3. Let 𝑋denote the total number
of correct answers.
(a)Determine approximately the value of probability 𝑃(𝑋=4)by
using the central limit theorem with the correction for
continuity.(10 marks)
(b)Compute the exact value of the probability𝑃(𝑋=4)without
applying the approximation. Compare it with the answer obtained in
Question 2(a).(5 marks)