What is the value of P(X=3)?
Consider the following for the two (02) items that follow :<br>Let X be a random variable following binomial distribution with parameters n=6 and p=k. Further, 9P(X=4)=P(X=2).
- A. 135/1024 ✓
- B. 5/128
- C. 45/1024
- D. 70/1024
Correct Answer: A. 135/1024
Explanation
Using n=6 and p=1/4, P(X=3) = \binom{6}{3} (1/4)^3 (3/4)^3 = 20 \times \frac{1}{64} \times \frac{27}{64} = \frac{540}{4096} = \frac{135}{1024}.
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