For a binomial distribution with p = 0.10 and n = 100,what is the z-score for X = 16?
A)1/3 = 0.33
B)2/3 = 0.66
C)1.00
D)2.00

Question

For a binomial distribution with p = 0.10 and n = 100,what is the z-score for X = 16?​
A)​1/3 = 0.33
B)​2/3 = 0.66
C)​1.00
D)​2.00

Quizplus · Accepted Answer

We can use the formula for calculating the z-score of a binomial distribution:

z = (X - μ) / σ

Where X is the observed number of successes, μ is the expected number of successes (which is n * p = 100 * 0.10 = 10), and σ is the standard deviation of the distribution (which is sqrt(n * p * (1 - p)) = sqrt(100 * 0.10 * 0.90) = 3).

Plugging in the values, we get:

z = (16 - 10) / 3 = 2

Therefore, the z-score for X = 16 is 2, which is answer D).

For a Binomial Distribution with P = 0