Question

# Explain how to decide when a normal distribution can be used to approximate a binomial distribution....

Explain how to decide when a normal distribution can be used to approximate a binomial distribution.

A.

If

npgreater than or equals?5

and

nqgreater than or equals??5,

the normal distribution can be used.

B.

If

npnot equals?5

and

nqnot equals??5,

the normal distribution can be used.

C.

If

npless than<5

and

nqless than<?5,

the normal distribution can be used.

D.

If

npgreater than>0

and

nqgreater than>?0,

the normal distribution can be used.

solution=

Normal distribution can be used to approximate the binomial distribution of sample proportions (i.e., np ? 5 and nq ? 5).
Notation:
p= proportion of success in population
pˆ=x/n= proportion of success in sample of size n
qˆ=1?pˆ= proportion of failure in sample of size n

correct option is

A.If np (greater than or equals)?5 and nq(greater than or equals)??5, the normal distribution can be used.

np (greater than or equals)?5 and nq(greater than or equals)??5, the normal distribution can be used.

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