1. How do the binomial, hypergeometric, poisson distributions, compare to the normal distribution?
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...
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 the healthcare industry. Identify the functions for binomial, Poisson, and normal distributions and discuss how Excel can be used to calculate probabilities of X, <X, and >X. Apply an example to at least one business scenario.
Which of the following distributions is considered the cornerstone distribution of statistical inference? a. Poisson distribution b. Normal distribution c. Geometric distribution d. Binomial distribution e. Uniform distribution
State if it is Binomial, Hypergeometric, Geometric, Negative Binomial or Poisson: Five cards are drawn at random from a deck of cards for a poker hand. Find the probability that in that hand you have at least one diamond card.
Compare the hypergeometric and binomial distributions. Suppose there is a sock drawer with N socks, each placed loosely in the drawer (not rolled into pairs). The total number of black socks is m. You take out a random sample of n < m socks. Assume all the socks are the same shape, size, etc. and that each sock is equally likely to be chosen. Suppose the sampling is done without replacement. Calculate the probability of getting at least 2 black...
Which of the following distributions could not be used to describe the exact distribution for a continuous random variable? a. Binomial distribution b. Poisson distribution c. Hypergeometric distribution d. all of these e. none of these
8.4 Binomial and Gaussian distributions Investigate by plotting how as the number of segments N of a polymer chain is increased, the binomial end-to-end distribution becomes a Gaussian distribution. Compare the different distributions in a way analogous to Figure 8.4. Also, investigate the fractional error made by approximating the binomial distribution with the Gaussian. What conclusions do you draw?
8.4 Binomial and Gaussian distributions Investigate by plotting how as the number of segments N of a polymer chain is increased,...
Conduct a study to determine how well the binomial distribution approxi mates the hypergeometric distribution. Consider a bag with n balls, 25% of which are red. A sample of size (0.10)n is taken. Let X be the number of red balls in the sample. Find P(X (0.02)n) for increasing values of n when | sampling is (i) with replacement and (i) without replacement. Use R
Conduct a study to determine how well the binomial distribution approxi mates the hypergeometric distribution....
Discuss how a manager of a retail store can use both the binomial and Poisson distributions to make business decisions. Explain how the distributions differ. Provide examples of the type of data that could be used in calculating the probabilities.
Discuss how a manager of a retail store can use both the binomial and Poisson distributions to make business decisions. Explain how the distributions differ. Provide examples of the type of data that could be used in calculating the probabilities. 4/2019