Question Bank - Mathematics

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

A.
0.4
B.
0.35
C.
0.25
D.
0.3

Solution:

Givenn = 25p = 0.2q = 1 “ p = 0.8FormulaThe skewness of binomial distribution is ?1?1 = (q “ p)/?(n × p × q)p = probability of success eventq = probability of failure eventCalculation?1 = (0.8 “ 0.2)/?(25 × 0.8 × 0.2)? 0.6/?(40? The skewness of variable X is 0.3

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