Concept of hypergeometric distribution

Assignment Help Basic Statistics
Reference no: EM1385727

Suppose the Internal Revenue Service is studying the category of charitable contributions. A sample of 36 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 36 returns 6 had charitable contributions of more than $1,000. Suppose 5 of these returns are selected for a comprehensive audit.

You should use the hypergeometric distribution because you are sampling a small population without replacement.you are sampling a large population without replacement. You are sampling a small population with replacement.

a) What is the probability exactly one of the five audited had a charitable deduction of more than $1,000? (Round your answer to 4 decimal places.)

b) What is the probability at least one of the audited returns had a charitable contribution of more than $1,000? (Round your answer to 4 decimal places.)

Reference no: EM1385727

Questions Cloud

Problem related to distribution of weekly water usage : Suppose that the distribution of weekly water usage for single-family homes in a particular city is mound shaped and approximately symmetric. The mean is 1400 gallons, and the standard deviation is 300 gallons.
Differences between centralization and decentralization : Explain the differences between centralization and decentralization and between standardization and mutual adjustment.
Ameliorate antibiotic resistance : To ameliorate antibiotic resistance, several individuals have lowered or eliminated the usage of certain antibiotics. However this has not worked most of the time.
Selection tools for the hiring program at supermarket : Write down three selection tools which you would consider using for the hiring program at the supermarket.
Concept of hypergeometric distribution : You should use the hypergeometric distribution because you are sampling a small population without replacement.you are sampling a large population without replacement. You are sampling a small population with replacement.
Why do new brands with a smaller market share : Why do new brands with a smaller market share spend proportionately more on advertising than brands with a larger market share?
Minimally useful genes to persist in bacerial population : HGT makes it possible for minimally useful genes to persist in bacerial population. The model proposes that unessential genes of related function are arranged in operons.
Examine personal values development : Examine Personal Values Development examining your personal values, ground rules and/or ethics development. Focus on the developmental aspect rather than on a particular position on any issue.
Distribution of annual costs problem : For the most recent year available the mean annual cost to attend a private university in the US was $26,889. Assume the distribution of annual costs follows a normal probability distribution and the standard deviation is $4,500. 95% of all studen..

Reviews

Write a Review

Basic Statistics Questions & Answers

  The p-value for the interaction term in the model

An experiment was performed to investigate lifetime of a component exposed to high heat. Three different oven types were used at either 550°F or 600°F.

  Determine the probabilities of events

What is the probability that they all hit the target?

  Probability of drawing one or more aces

What is the probability of drawing one or more aces after discarding 5, 7, 8, and 9

  Mean assembly time for a random sample

The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes.

  Detrermining standard error of the mean

Assume a population standard deviation of 450-kilowatt hours. Determine the standard error of the mean.

  Variance using given probability distribution

What are the expected value and variance of the following probability distribution?

  Interpretation of marginal means

In a pilot study, five kids are given several problems of each type to practice (and then tested on three problems), in one of the three Sequences: D-R-T, T-D-R, OR R-T-D.

  Shipping schedule using transshipment model

Determine the most economical monthly shipping schedule. Provide a table showing the routes and total costs.

  History of being successful at getting a donor

She has a history of being successful at getting a donor on 55 percent of her calls. If June has a quota to get at least four donors each day.

  Testing our research hypothesis

Discuss possible study designs. Which of the designs would we use to test our research hypothesis?

  Critical values for a two-tailed test

Using the  z   table in Table E of Appendix C, what are the critical values for a two-tailed test when a = 0.03 .

  Finding earliest completion time and critical path for play

Find out the earliest completion time for play and critical path.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd