1.

The mean and variance of a binomial distribution are 4 and 3 respectively, then the probability of getting exactly six successes in this distribution is        [MP PET 2002]

A.      \[{}^{16}{{C}_{6}}{{\left( \frac{1}{4} \right)}^{10}}{{\left( \frac{3}{4} \right)}^{6}}\]  
B.      \[{}^{16}{{C}_{6}}{{\left( \frac{1}{4} \right)}^{6}}{{\left( \frac{3}{4} \right)}^{10}}\]
C.      \[{}^{12}{{C}_{6}}{{\left( \frac{1}{4} \right)}^{10}}{{\left( \frac{3}{4} \right)}^{6}}\]  
D.      \[^{12}{{C}_{6}}{{\left( \frac{1}{4} \right)}^{6}}{{\left( \frac{3}{4} \right)}^{6}}\]
Answer» C.      \[{}^{12}{{C}_{6}}{{\left( \frac{1}{4} \right)}^{10}}{{\left( \frac{3}{4} \right)}^{6}}\]  


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