Respuesta :
Answer:
a) np > 5
d) nq > 5
Step-by-step explanation:
Binomial probability distributions depend on the number of trials n of a binomial experiment and the probability of success p on each trial.
A binomial distribution can be approximated with the help of normal distribution.
A binomial distribution has parameters:
[tex]X \sim B(n,p)[/tex]
where n is the number of independent trials and p is the probability of success.
If p is the probability of success, then we define probability of failure as:
[tex]q = 1-p[/tex]
A normal distribution can be used to approximate the binomial distribution if
[tex]np > 5\\nq = n(1-p) > 5[/tex]
Thus, the correct answer is
a) np > 5
d) nq > 5
Using concept of the binomial distribution, it is found that the correct options are:
np > 5
nq > 5
The binomial distribution gives the probability of x successes on n repeated trials, with p probability of a success on each trial.
It can be approximated to the normal distribution it there are more than 10 successes and more than 10 failures, that is:
np > 5
nq > 5
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