Inferential Statistics Exercises - University of Western Australia
Inferential Statistics Exercises
These exercises have been written to consolidate your understanding of the Inferential Statistics workshop.
Question 1
State whether each of the following are valid probability distributions. If it is valid, state the expected value. If it is not valid, say why.
(a)
Outcome 1 2 3 4 5 Probability 0.1 0.2 0.3 0.2 0.2
(b)
Outcome 1 2 3 4 5 Probability 0.1 -0.2 0.7 0.2 0.2
(c)
Outcome 2 10 6 0 8 Probability 0.5 0.1 0.1 0.1 0.1
(d)
Outcome 0 -2 -3 4 -5 Probability 0.2 0 0.4 0.2 0.2
(e)
Outcome -3 1 -5 2 3 Probability 0.1 0.2 0.5 0.2 0.1
(f )
Outcome 0 1 2 3 4 Probability 1/2 1/4 1/8 1/16 1/32
(g)
Outcome 1 2 3 4 5 Probability 1/3 0 1/6 1/6 1/6
(h)
Outcome 1 2 3 4 5 Probability 0 1 0 0 0
Question 2
Assume that the weights of a population of rabbits is normally distributed with a mean of 7kg and a standard deviation of 2kg.
(a) Estimate the weight of the heaviest rabbit. (b) Estimate the weight of the lightest rabbit. (c) Calculate the probability that a randomly selected rabbit weighs between 5kg and 9kg.
(d) Calculate the probability that a randomly selected rabbit weighs between 3kg and 9kg.
(e) Calculate the probability that a randomly selected rabbit weighs between 3kg and 5kg.
Question 3 Assume that the arm-span of a population of humans is normally distributed with a
mean of 1.7m and a standard deviation of 10cm.
(a) Calculate the probability that a randomly selected human has an arm-span between 170cm and 180cm
(b) Calculate the probability that a randomly selected human has an arm-span of exactly 170cm.
(c) Calculate the probability that a randomly selected human has an arm-span of less than 150cm.
Using STUDYSmarter Resources This resource was developed for UWA students by the STUDYSmarter team for the numeracy program. When using our resources, please retain them in their original form
with both the STUDYSmarter heading and the UWA crest.
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- exercises in statistical inference vũng tàu
- inferential statistics definition and examples
- inferential research question examples
- worksheet extra examples
- answering your research questions with inferential statistics diana
- sampling inferential statistics
- module 4 inferential statistics nova southeastern university
- basic statistical inference for survey data
- sample statistics exam 500
- inferential statistics ksu
Related searches
- western australia department of education
- university of western illinois
- descriptive and inferential statistics pdf
- inferential statistics quizlet
- inferential statistics definition
- what is inferential statistics pdf
- examples of inferential statistics pdf
- inferential statistics vs descriptive stats
- inferential statistics health care examples
- inferential statistics involves
- inferential statistics definition pdf
- inferential statistics examples