Question

The mean of a binomial distribution is 4 and its standard deviation is ⎯√ 3. What are the values of n, p and q with usual notations? ​

Answer 1

n=16, p=1/4 and q=3/4

Step-by-step explanation:

Mean of a Binomial Distribution is 4

Standard Deviation = √ 3

Probability of success =p

Probability of failure =q

therefore,

q=1-p

np=4 given

npq=3 given

np(1-p)=3

4(1-p)=3

(1-p)=3÷4=

P=( 1-3÷4)=1÷4

n×1÷4= 4

n=4×4=16

npq=3

16×1÷4 ×q= 3

4q=3

q=3÷4

Hence the values of n p q are n=16 p=1/4 q=3/4

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