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In: Statistics and Probability

Suppose that jurors are selected randomly from an adult population. What is the probability that all...

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.

Solutions

Expert Solution

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

orchestra answered 1 year ago
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