Question

Define binomial distribution. Also, find the binomial distribution for which the mean and variance are 4 and 2,respectively.​

Answer 1

Answer:

Binomial Distribution. A binomial random variable is the number of successes x in n repeated trials of a binomial experiment. ... The mean of the distribution (μx) is equal to n * P . The variance (σ2x) is n * P * ( 1 - P ).

Answer 2

Step-by-step explanation:

Given that mean =4

np=4 and variance =2

npq=2

⇒4q=2

⇒q=

2

1

∴p=1−q=1−

2

1

=

2

1

also n=8 probability of 2 successes

p(x=2)=

8

C

2

p

2

q

6

=

2!×6!

8!

×(

2

1

)

2

×(

2

1

)

6

=28×

2

8

1

=

256

28