Question

Suppose that jurors are selected randomly from an adult population. What is the probability that all 12 jurors are white when 67% of the population is white? Round you answer to three decimal places.

Answer 1

Here we use binomial distribution.

n = sample size = 12

p = probability of succes = 0.67 ( We converted 67 % in to decimal

We have to find the probability that all 12 juniors are white

That we are are asked to find P(X = 12 )

consider random variable x as Number of white juniors

We plug the value of n , x and p

That is x = 12 , n = 12 and p = 0.67

Since 0! is always 1 because we can arrange 0 by 1 way

We use formula

So above equation becomes

Round above value of probability to 3 decimal place

Final answer :-

The probability that all 12 jurors are white is 0.008