Which distribution (binomial or Poisson) would you use to predict random frequencies in the following data?...
Which distribution (binomial or Poisson) would you use to predict random frequencies in the following data?
Number of mitochondria in a cell
Homework Answers
Given random variable: Number of mitochondria in a cell
Since it is a discrete random variable and probability of success is less and size (number of mitochondria) will be more in a cell
It is Poisson distribution
Poisson distribution
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Which distribution (binomial or Poisson) would you use to
predict random frequencies in the following data?...
The Binomial and Poisson Distributions Both the Binomial and Poisson Distributions deal with discrete data where...
The Binomial and Poisson Distributions Both the Binomial and Poisson Distributions deal with discrete data where we are counting the number of occurrences of an event. However, they are very different distributions. This problem will help you be able to recognize a random variable that belongs to the Binomial Distribution, the Poisson Distribution or neither. Characteristics of a Binomial Distribution Characteristics of a Poisson Distribution The Binomial random variable is the count of the number of success in n trials: number of...
5. Given the following types of random variables: Bernoulli, Geometric, Binomial, and Poisson ple...
5. Given the following types of random variables: Bernoulli, Geometric, Binomial, and Poisson ple where each distribution c b. Make MATLAB plots of examples of PMF for each of these distributions. c. Make MATLAB plots of the four CDFs d. Calculate the first three moments and the variance of a Bernoulli random variable e. Calculate the expected values of a Geometric random variable and a Poisson random variable.
5. Given the following types of random variables: Bernoulli, Geometric, Binomial, and...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. Sixty-two percent of parents would give up cable television to have their child's education paid for. You randomly select seven parents. Find the probability that the number of parents who would give up cable television to have their child's education paid for is (a) exactly...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. Fifty dash nine percent of parents would give up cable television to have their child's education paid for. You randomly select five parents. Find the probability that the number of parents who would give up cable television to have their child's education paid for is...
Recall that a discrete random variable X has Poisson distribution with parameter λ if the probability...
Recall that a discrete random variable X has Poisson
distribution with parameter λ if the probability mass function of
X
Recall that a discrete random variable X has Poisson distribution with parameter λ if the probability mass function of X is r E 0,1,2,...) This distribution is often used to model the number of events which will occur in a given time span, given that λ such events occur on average a) Prove by direct computation that the mean of...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. Fifty dash sevenFifty-seven percent of parents would give up cable television to have their child's education paid for. You randomly select fivefive parents. Find the probability that the number of parents who would give up cable television to have their child's education paid for is...
Describe the differences between the use of the binomial and Poisson distribution. Provide one example of...
Describe the differences between the use of the binomial and Poisson distribution. Provide one example of how each can be used and explain why you selected the example.
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. Fifty dash seven percent of adults say that they have cheated on a test or exam before. You randomly select eight adults. Find the probability that the number of adults who say that they have cheated on a test or exam before is (a) exactly...
find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then...
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5. Given the following types of random variables: Bernoulli, Geometric, Binomial, and Poisson ple where each distribution c b. Make MATLAB plots of examples of PMF for each of these distributions. c. Make MATLAB plots of the four CDFs d. Calculate the first three moments and the variance of a Bernoulli random variable e. Calculate the expected values of a Geometric random variable and a Poisson random variable.
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Recall that a discrete random variable X has Poisson
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Recall that a discrete random variable X has Poisson distribution with parameter λ if the probability mass function of X is r E 0,1,2,...) This distribution is often used to model the number of events which will occur in a given time span, given that λ such events occur on average a) Prove by direct computation that the mean of...
In each situation below, is it reasonable to use a binomial distribution for the random variable X? Give reasons for your answer in each case. (a) A random sample of students in a fitness study. X is the mean systolic blood pressure of the sample. Yes, a binomial distribution is reasonable. X is a mean of the binomial distribution. No, a binomial distribution is not reasonable. Binomial distributions cannot be used with random samples. Yes, a binomial distribution is reasonable....
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