For a binomial test,if pn = 10 and qn = 90,then n = 100.

Question

For a binomial test,if pn = 10 and qn = 90,then n = 100.​

Quizplus · Accepted Answer

The formula for the expected value of a binomial distribution is np, where n is the total number of trials and p is the probability of success. Similarly, the variance of a binomial distribution is npq, where q is the probability of failure.

Given that pn = 10 and qn = 90, we can set up two equations:

np = pn = 10

npq = 90

Solving for n in the first equation gives us:

n = 10/p

Substituting this expression for n into the second equation, we get:

(10/p) * q * p = 90

Simplifying, we get:

10q = 90

q = 9

Substituting this value of q into the first equation, we get:

np = 10

n * (10/n) = 10

n = 100

Therefore, n = 100 is the only possible value that satisfies the given conditions.

For a Binomial Test,if Pn = 10 and Qn =