Question

In: Statistics and Probability

Take a look at the four requirements for binomial probability distributions: 1. Fixed number of single...

Take a look at the four requirements for binomial probability distributions:

1. Fixed number of single observations (trials)

2. Each trial is independent

3. Each trial must have outcomes that fall into one of two categories (success, failure)

4. The probability of success remains the same for every trial.

Come up with an example scenario in which you would have a binomial probability distribution to work with.  

Solutions

Expert Solution

Come up with an example scenario in which you would have a binomial probability distribution to work with.  

Let's say you have a MCQ test of 10 questions and you haven't studied for the same.

Each question has 4 options and you decided to answer the test by picking one card from the deck of 52 with replacement, if the card is spade you tick option A, if it is heart you tick B, if club then C and if diamond you tick D.

In each scenario the probability of ticking the correct answer is 1/4 for each question

1. Fixed number of single observations (trials)

10 questions

2. Each trial is independent

one question being correct or incorrect does not affect other

3. Each trial must have outcomes that fall into one of two categories (success, failure)

Either question is correct or incorrect

4. The probability of success remains the same for every trial.

For every question the probability of being correct is 1/4


Related Solutions

The binomial and Poisson distributions are two different discrete probability distributions. Explain the differences between the...
The binomial and Poisson distributions are two different discrete probability distributions. Explain the differences between the distributions and provide an example of how they could be used in your industry or field of study. In replies to peers, discuss additional differences that have not already been identified and provide additional examples of how the distributions can be used.
The binomial and Poisson distributions are two different discrete probability distributions. Explain the differences between the...
The binomial and Poisson distributions are two different discrete probability distributions. Explain the differences between the distributions and provide an example of how they could be used in your industry or field of study.
1. To construct a particular binomial probability, it is necessary to know the total number of...
1. To construct a particular binomial probability, it is necessary to know the total number of trials and the probability of success on each trial. TRUE OR FALSE 2. The mean of a binomial distribution can be computed in a "shortcut" fashion by multiplying n (the total number of trials) times π (the probability of success). TRUE OR FALSE 3. Judging from recent experience, 5% of the computer keyboards produced by an automatic, high-speed machine are defective. If six keyboards...
Binomial distributions are approximately normal when the number of trials is large, and the probaility of...
Binomial distributions are approximately normal when the number of trials is large, and the probaility of success is not near zero or one. A player flips an unbiased coin 1,296 times. a. What is the probability of the coin landing on heads between 612 and 684 times?
Think about these three probability distributions: hypergeometric, binomial, and Poisson and describe one or more ways...
Think about these three probability distributions: hypergeometric, binomial, and Poisson and describe one or more ways that you might use any of these distributions to explore their applications in different situations that need not be particularly economically valuable
How can you identify when to use the binomial, geometric and hypergeometric probability distributions? For example,...
How can you identify when to use the binomial, geometric and hypergeometric probability distributions? For example, if I want to flip a coin until I get heads, it is geometric, but if I flip the coin 5 times, it becomes binomial. What changed? How do I know which distribution to use?
Name and discuss four probability distributions , highlight their characteristics , how they are similar to...
Name and discuss four probability distributions , highlight their characteristics , how they are similar to one another , and how they differ from one another , and hoe they differ from one another?
Define the probability density functions (PDF): Binomial, Uniform, and Normal distributions. Provide one example of each...
Define the probability density functions (PDF): Binomial, Uniform, and Normal distributions. Provide one example of each of them, and their graphs.
Question 3: Independent or not? For the following four joint probability distributions of X and Y...
Question 3: Independent or not? For the following four joint probability distributions of X and Y , either prove or disprove that X and Y are independent. 1. fXY (x, y) = λ 2 e −λ(x+y) , x, y ≥ 0. 2. fXY (x, y) = 6 5 x + y 2 , 0 ≤ x, y ≤ 1. 3. fXY (x, y) = 1 9 xy, 0 ≤ x ≤ 3, and 0 ≤ y ≤ 2. 4. fXY...
Consider a binomial experiment with 20 trials and probability 0.35 of success on a single trial....
Consider a binomial experiment with 20 trials and probability 0.35 of success on a single trial. (a) Use the binomial distribution to find the probability of exactly 10 successes. (Round your answer to three decimal places.) (b) Use the normal distribution to approximate the probability of exactly 10 successes. (Round your answer to three decimal places.) (c) Compare the results of parts (a) and (b). These results are fairly different. These results are almost exactly the same.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT