{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Slides Weed 6 and 7

# Slides Weed 6 and 7 - BERNOULLI TRIALS(a very special and...

This preview shows pages 1–7. Sign up to view the full content.

BERNOULLI TRIALS (a very special and common type of selection experiment)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
EG1) The Attachment Disorder : Techston McCool has a serious attachment disorder. Each and every time he sends an email that requires an attachment, there is only a “p” percent chance that he will remember to include the attachment. Suppose an experiment consists of observing Techston send four email messages that are supposed to contain attachments, and each time we note whether or not he includes the attachment (S) or fails to include the attachment (F). QUESTION 1: What is the probability that Techston includes the attachment exactly three times? QUESTION 2: What is the probability that Techston includes the attachment exactly two times? QUESTION 3: What is the probability that Techston includes either two or three attachments?
Start S F S F S F S F S F S F S F s F s F s F s F s F s F s F s F p q p q p q p q p q p q p q p q p q p q p q p q p q p q p q The Attachment Disorder Pr[S] = p Pr[F] = q = 1-p ssss p4 sssf p3q1 ssfs p3q1 ssff p2q2 sfss p3q1 sfsf p2q2 sffs p2q2 sfff p1q3 fsss p3q1 fssf QUESTION 1: What is the probability that Techston includes the attachment exactly three times? QUESTION 2: What is the probability that Techston includes the attachment exactly two times? QUESTION 3: What is the probability that Techston includes either two or three attachments?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Start S F S F S F S F S F S F S F s F s F s F s F s F s F s F s F p q p q p q p q p q p q p q p q p q p q p q p q p q p q p q ssss p4 sssf p3q1 ssfs p3q1 ssff p2q2 sfss p3q1 sfsf p2q2 sffs p2q2 sfff p1q3 fsss p3q1 fssf RED = “S” 3 times GREEN = “S” 2 times The Attachment Disorder Pr[S] = p Pr[F] = q = 1-p
Q1) Pr[exactly 3 S’s] = Pr[ 3 S’s and 1 F ] = = Pr[ SSSF, SSFS, SFSS, FSSS ] = 4p3q1 Q2) Pr[exactly 2 S’s] = Pr[ 2 S’s and 2 F’s ] = = Pr[ SSFF, SFSF, SFFS, FSSF, FSFS, FFSS ] = 6p2q2 Q3) Pr[two S’s or three S’s] = Pr[ 2S & 2F or 3S & 1F ] = Pr[ SSFF, SFSF, SFFS, FSSF, FSFS, FFSS, SSSF, SSFS, SFSS, FSSS ] = 6p2q2 + 4p3q1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
BERNOULLI TRIALS An experiment consists of a sequence of Bernoulli trials if….
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern