MODE OF THE BINOMIAL DISTRIBUTION WORKSHEET

Problem 1 :

What is the mode the distribution for which mean and standard deviation are 10 and √5 respectively.

Solution

Problem 2 :

If x is a binomial variate with parameter 15 and 1/3, what is the value of mode of the distribution ?

Solution

Problem 3 :

For a binomial distribution mean and mode

a) are never equal    b)  are always equal

c)  are equal when q = 0.50      d) do not always exist

Solution

Problem 4 :

The mean of binomial distribution is 

a) Always more than its variance

b)  always equal to its variance

c)  always less than its variance 

d)  always equal to its standard deviation

Solution

Problem 5 :

For a binomial distribution there may be,

a) one mode     b) two modes

Solution

Answer Key

1)  So, the required mode is 10.

2) So. the mode is 5.

3) 0.50

4)  Mean is always more than its variance.

5)  There may be two modes.

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