Posted: February 26th, 2023

Problem Set Helps: Probability

Please do worksheet attached

3-2 Problem Set Helps

Remember all steps and the calculations must be shown (or StatCrunch output), or full points will not be given for the problem.  Just writing down the answer is not sufficient. You can type them into a word document,  write them out by hand, scan them, or take a picture of the page and attach it to Brightspace.  If you turn in handwriting, please make it legible.

#1 Theory/explanation type question.

#2 pages 107-108 and pages 575-576

#3 page 123, bottom example

#4 defined on page 117, property 3

#5 (after you try this on your own, head to the general discussion board for help)

There isn’t an identical problem to this in the book; however, the ‘rules’ are on pages 120-126.

1. P(boy) = 2,081,287/4,065,014 = 0.512, so P(both boys) = P(boy)*P(Boy) =
2. P(at least 1 boy) = P(both boys) + P(boy, girl) + P(girl, boy) = ()() + ()() + ()() =

#6 Your book calls mutually exclusive events ‘disjoint events’.  See page 110 and then Rule 5 for independent events, starting on page 131

Textbook: Basic Biostatistics: Statistics for Public Health Practice, Chapter 5, Chapter 6, and Chapter 7

Textbook link:  https://bncvirtual.com/vb_econtent.php?ACTION=econtent&FVENCKEY=AD9EE8D798DCAFC7E76B5FB7C978DD86&j=43766531&sfmc_sub=1597096465&l=23329524_HTML&u=695880241&mid=524003857&jb=40753&utm_term=10242022&utm_source=transactional&utm_medium=email&utm_campaign=Direct_Ebooks

IHP 525 Module Three Problem Set

A patient newly diagnosed with a serious ailment is told he has a 60% probability of surviving 5 or more years. Let us assume this statement is accurate. Explain the meaning of this statement to someone with no statistical background in terms he or she will understand.

Suppose a population has 26 members identified with the letters A through Z.

You select one individual at random from this population. What is the probability of selecting individual A?

Assume person A gets selected on an initial draw, you replace person A into the sampling frame, and then take a second random draw. What is the probability of drawing person A on the second draw?

Assume person A gets selected on the initial draw and you sample again without replacement. What is the probability of drawing person G on the second draw?

Let A represent cat ownership and B represent dog ownership. Suppose 35% of households in a population own cats, 30% own dogs, and 15% own both a cat and a dog. Suppose you know that a household owns a cat. What is the probability that it also owns a dog?

What is the complement of an event?

Suppose there were 4,065,014 births in a given year. Of those births, 2,081,287 were boys and 1,983,727 were girls.

1. If we randomly select two women from the population who then become pregnant, what is the probability both children will be boys?

If we randomly select two women from the population who then become pregnant, what is the probability that at least one child is a boy?

Explain the difference between mutually exclusive and independent events.

image1