Probability of Binomial Distribution

Suppose 39% of Americans will vote for Donald Trump on election day. If a random sample of 8 voters are selected, what is the probability that 6 or more will vote for Trump?

• .9635

• .0365

• .9561

• .0439

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their pets bathed professionally

• 3.42

• 1.03

• 0.072

• 0.199

If you were to flip a coin 20 times, what is the probability you would get at most 13 heads?

• .9423

• .1316

• .0577

• .0739

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

• 50%

• 17.62%

• .58.81%

• 41.19%

A company states that 2% of its computers are returned for defects.  We take a sample of 100 computers to find the probability of 10 being defective.  Is this a binomial distribution?

• No because there is not a fixed number of trials.

• No because their are more than 2 outcomes.

• Yes since there are a fixed number of independent trials, outcomes in 2 categories, and the probability of defect is constant.

• No since computers would not be independent.

An algebra 2 test has 6 multiple choice questions with 4 choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

• 0.962

• 0.132

• 0.831

• 0.250

The formula shown produces what result?

• The probability of exactly x successes in n trials

• The probability of no more than x successes in n trials

• The probability of success on any single trial.

• The probability of at least x successes in n trials.

In Vietnam, the probability of rain is 70%.  Find the probability of it raining at most 4 days in a week.

• .9712

• 0.0250

• .0287

• .2988

• 0.353

The table represents the probability of guessing correct on a 5 question true-false quiz.  Find the probability for at least 4 questions correct.

• .03125

• .15625

• .3125

• .1875

A wildlife biologist examines frogs for a genetic trait they suspect may be linked to sensitivity to industrial toxins in the environment. Previous research had established that this trait is usually found in 1 of every 8 frogs. 

1. The biologist collects and examines a dozen frogs. If the frequency of the trait has not changed, what’s the probability they find the trait in none of the 12 frogs? 

• Binomial Distribution

• Geometric Distribution