السؤال الثاني
2. If X is binomially distributed with 6 trials and a probability of success equal to ¼ at each attempt. What is the probability of exactly 4 success? Also find the parameter mean, variance and standard deviation.
Answer:Here n = 6, p = ¼ = 0.25, x = 4, q = 0.75
Then P(x = 4) = 0.03296
Mean: µ= np = 6 × 0.25 = 1.50
Variance:2= n p q =6 × 0.25× 0.75 = 1.125
Standard Deviation: = 1.125 = 0.35
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