If a problem involves calculating the probability of the occurrence of a number of discrete successes within a specified volume of space, would you use binomial, Poisson, normal, or t-distribution to solve the problem? Explain your answer to get credit
Ans:
We will use Poisson distribution for probability of the occurrence of a number of discrete successes within a specified volume of space.
Normal and t distribution are continuous distribution.Binomial is discrete distribution but there are only two outcomes(success or failure).and used to model the number of successes in n number of trials.
If a problem involves calculating the probability of the occurrence of a number of discrete successes...
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...
You may need to use the appropriate appendix table or technology to answer this question.Assume a binomial probability distribution has p = 0.70and n = 400.(a)What are the mean and standard deviation? (Round your answers to two decimal places.) mean standard deviation (b)Is...
Explain fully the differences and connections between the following probability processes: discrete distributions, such as binomial distributions normal distribution probability probability presented as the number of outcomes over the total
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...
Given the binomial experiment with n = 400 trials and probability of success on a single trial p = 0.02, find the value of a successes. (Round your answer to four decimal places.) Use the Poisson distribution to estimate the probability of Per = 8) -
Consider a binomial experiment with 15 trials and probability 0.55 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 almost exactly the same. These results are fairly different.
10. 0/3.54 points Previous Answers BBUnderStat12 5.2.028. In the binomial probability distribution, let the number of trials be n = 4, and let the probability of success be p = 0.2959. Use a calculator to compute the following. (a) The probability of three successes. (Round your answer to three decimal places.) 0887 (b) The probability of four successes. (Round your answer to three decimal places.) (c) The probability of three or four successes. (Round your answer to three decimal places.)
As a manager of an organization, what probability distribution from this week would you use if you wanted to study one aspect of your annual employee turnover? Explain why you would use the probability distribution to study the chosen aspect of employee turnover. In your post, be sure to identify the statistical formulas specifically and what additional data you would need to understand the chosen aspect of employee turnover. For example, some aspects of employee turnovers are employee age, years...
Points Possible 10 Objective: This activity has the purpose of helping students to compute the discrete Binomial and Poisson probability distribution using the software Microsoft Excel. (Objective 6) Student Instructions: This assignment has a value of 10 points. You will have two (2) questions to answer and one (1) attempt to send this assignment. Refer to the calendar in Blackboard for due dates. Your calendar is available under the Tools menu > Calendar. Once you have built the Excel tables,...
A National Football League kicker has made 80% of his field goal attempts in the past. This season he attempts 20 field goals. The attempts differ widely in distance,angle, wind, and so on.Is it reasonable to expect that a binomial distribution will at least approximately describe the number of successful field goals? Explain your answer.A. The number of successes doesn't have a binomial distribution. The attempts differ widely in distance, angle, wind, and so on, thus the attempts are notindependent.B....