Question

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

Next > < Previous

Related Solutions

Twelve jurors are randomly selected from a population of 4 million residents

Twelve jurors are randomly selected from a population of 4 million residents. Of these 4 million residents, it is known that 48% are of a minority race. Of the 12 jurors selected, 2 are minorities. (a) What proportion of the jury described is from a minority race? (b) If 12 jurors are randomly selected from a population where 48% are minorities, what is the probability that 2 or fewer jurors will be minorities? (c) What might the lawyer of a defendant from this...

A) Assume that 12 jurors are randomly selected from a population in which 87% of the...

A) Assume that 12 jurors are randomly selected from a population in which 87% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. xx P(x)P(x) 0 0+ 1 0+ 2 0+ 3 0+ 4 0+ 5 0.0002 6 0.0019 7 0.0111 8 0.0464 9 0.138 10 0.2771 11 0.3372 12 0.188 Find the probability of exactly 5 Mexican-Americans among 12 jurors. P(x=5)=P(x=5)= Find the probability of 5 or fewer Mexican-Americans among 12...

What is the probability that a randomly selected member of a normally distributed population will lie...

What is the probability that a randomly selected member of a normally distributed population will lie more than 1.8 standard deviations from the mean?

Assume that when an adult is randomly selected, the probability that they do not require vision...

Assume that when an adult is randomly selected, the probability that they do not require vision correction is 28% If 12 adults are randomly selected, find the probability that fewer than 4 of them do not require a vision correction. If 12 adults are randomly selected, the probability that fewer than 4 of them do not require a vision correction is ________

The probability of a randomly selected adult in one country being infected with a certain virus...

The probability of a randomly selected adult in one country being infected with a certain virus is 0.006 . In tests for the virus, blood samples from 21 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus.

The probability that a randomly selected person is left-handed is 0.1. Suppose we are to randomly...

The probability that a randomly selected person is left-handed is 0.1. Suppose we are to randomly select 10 people. Let X be the number of people selected out of the 10 that are left-handed. Find the following probabilities: (a) P(X = 2) = (b) P(X ≤ 2) = (c) P(X > 2) =

Suppose the following data are selected randomly from a population of normally distributed values. According to...

Suppose the following data are selected randomly from a population of normally distributed values. According to the U.S. Bureau of Labor Statistics, the average weekly earnings of a production worker in July 2011 were $657.49. Suppose a labor researcher wants to test to determine whether this figure is still accurate today. The researcher randomly selects 56 production workers from across the United States and obtains a representative earnings statement for one week from each. The resulting sample average is $670.76....

Given that the data below was randomly selected from a lognormal distribution. What is the probability...

Given that the data below was randomly selected from a lognormal distribution. What is the probability of a randomly selected item having a value greater than 3.9? Give your answer to 3 decimal places. Data 1.72, 124.2, 1.04, 0.84, 12.82, 11.76, 51.2, 0.11

Given that the data below was randomly selected from a lognormal distribution. What is the probability...

if two people are randomly selected from a class of 30 students, what is the probability...

if two people are randomly selected from a class of 30 students, what is the probability that they have the same birthday?

Subjects