A random variable X is binomially distributed with parameter n = 25 and p = 0.2. The skewness of the variable X is

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  1. 0.40
  2. 0.35
  3. 0.25
  4. 0.30

Answer (Detailed Solution Below)

Option 4 : 0.30
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Detailed Solution

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Given

n = 25

p = 0.2

q = 1 – p = 0.8

Formula

The skewness of binomial distribution is β1

β1 = (q – p)/√(n × p × q)

p = probability of success event

q = probability of failure event

Calculation

β1 = (0.8 – 0.2)/√(25 × 0.8 × 0.2)

⇒ 0.6/√(40

∴ The skewness of variable X is 0.3

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