Question

Prove of the amen for binomial distribution

Prove of the amen for binomial distribution

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1
  1. Consider an experiment having two possible outcomes: either success or failure. Suppose the experiment is repeated several times and the repetitions are independent of each other.
  2. The total number of experiments where the outcome turns out to be a success is a random variable whose distribution is called binomial distribution. The distribution has two parameters: the number of repetitions of the experiment and the probability  of success of an individual experiment.
  3. A binomial distribution can be seen as a sum of mutually independent Bernoulli random variables that take value 1 in case of success of the experiment and value 0 otherwise.
  4. This connection between the binomial and Bernoulli distributions will be illustrated in detail in the remainder of this lecture and will be used to prove several properties of the binomial distribution.
0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
when to use binomial distribution? and what's the relationship between the binomial distribution and the other...
when to use binomial distribution? and what's the relationship between the binomial distribution and the other distributions ?
A binomial distribution has two outcomes: success and failure.   I have to create a binomial distribution...
A binomial distribution has two outcomes: success and failure.   I have to create a binomial distribution problem relevant to the field of psychology.
Identifying binomial distribution. Determine whether the given procedure results in a binomial distribution. For those that...
Identifying binomial distribution. Determine whether the given procedure results in a binomial distribution. For those that are not binomial, identify at least one requirement that is not satisfied. A. Randomly selecting 20 jurors and recording their nationalities. B. Recording the gender of 200 newborn babies. C. Recording the number of children in 200 families. D. Surveying 12 jurors and recording whether there is a “yes” response when they are asked if they have ever been convicted of a felony. please...
Identifying binomial distribution. Determine whether the given procedure results in a binomial distribution. For those that...
Identifying binomial distribution. Determine whether the given procedure results in a binomial distribution. For those that are not binomial, identify at least one requirement that is not satisfied. A. Randomly selecting 20 jurors and recording their nationalities. B. Recording the gender of 200 newborn babies. C. Recording the number of children in 200 families. D. Surveying 12 jurors and recording whether there is a “yes” response when they are asked if they have ever been convicted of a felony. Show...
In each situation, is it reasonable to use a binomial distribution for the random variable X?...
In each situation, is it reasonable to use a binomial distribution for the random variable X? If the situation is not reasonable for a binomial distribution, select the correct statement that explains why. (a) An auto manufacturer chooses one car from each hour's production for a detailed quality inspection. One variable recorded is the count X of finish defects (dimples, ripples, etc.) in the car's paint. Is it reasonable to use a binomial distribution for the random variable X? Select...
Identifying binomial distribution. Determine whether the given procedure results in a binomial distribution. For those that...
Identifying binomial distribution. Determine whether the given procedure results in a binomial distribution. For those that are not binomial, identify at least one requirement that is not satisfied. A. Treating 50 smokers with Nicorette and asking them how their mouth and throat feel. B. Treating 50 smokers with Nicorette and recording whether there is a “yes” response when they are asked if they experience any mouth or throat soreness. C. Recording the number of children in 100 families. D. Surveying...
Which of the following is true with respect to the binomial distribution? As the sample size...
Which of the following is true with respect to the binomial distribution? As the sample size increases, the expected value of the random variable decreases. The binomial distribution becomes more skewed as the sample size is increased for a given probability of success. The binomial distribution tends to be more symmetric as p approaches 0.5. In order for the binomial distribution to be skewed, the sample size must be quite large. 2 points
Given n = 5, p = 0.65. Find P(3) using both binomial distribution and geometric distribution....
Given n = 5, p = 0.65. Find P(3) using both binomial distribution and geometric distribution. Group of answer choices Binomial distribution: P(3) = 0.334. Geometric distribution: P(3) = 0.08 Binomial distribution: P(3) = 0.181. Geometric distribution: P(3) = 0.08 Binomial distribution: P(3) = 0.334. Geometric distribution: P(3) = 0.148 Binomial distribution: P(3) = 0.181. Geometric distribution: P(3) = 0.148
Normal distribution could be used to approximate the binomial distribution under certain conditions. We already know...
Normal distribution could be used to approximate the binomial distribution under certain conditions. We already know the binomial probability distribution formula, so why is it necessary to learn this one? When is it useful to approximate the binomial distribution as normal? Provide an example.
In each of the following situations, is it reasonable to use a binomial distribution for the...
In each of the following situations, is it reasonable to use a binomial distribution for the random variable XX? Give reasons for your answer in each case. (a) A manufacturer of medical catheters randomly selects eight catheters, one from each hour's production for a detailed quality inspection. One variable recorded is the count XX of catheters with an unacceptable diameter (too small or too large). A binomial distribution is reasonable. There is a fixed number of catheters produced each day,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT