# S.O.S. Mathematics CyberBoard

Your Resource for mathematics help on the web!
 It is currently Fri, 22 Aug 2014 12:45:59 UTC

 All times are UTC [ DST ]

 Page 1 of 1 [ 5 posts ]
 Print view Previous topic | Next topic
Author Message
 Post subject: approximationPosted: Sun, 22 Apr 2012 01:06:42 UTC
 Member

Joined: Wed, 15 Feb 2012 07:19:33 UTC
Posts: 31
The random variable X has the binomial distribution, B(n,p), where 0< p < 1.

Given that n = 8 and p = 1/3, the random variable S is the sum of 60 independent observations of X. Find the approximate value of P(S >162).

(Answer is 0.423. But I'm not sure of the method.Actually I have no idea about the method. Thank you very very much!)

Top

 Post subject: Re: approximationPosted: Sun, 22 Apr 2012 01:11:42 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 13993
Location: Austin, TX
thesocialnetwork wrote:
The random variable X has the binomial distribution, B(n,p), where 0< p < 1.

Given that n = 8 and p = 1/3, the random variable S is the sum of 60 independent observations of X. Find the approximate value of P(S >162).

(Answer is 0.423. But I'm not sure of the method.Actually I have no idea about the method. Thank you very very much!)

Use the normal approximation and a z-table.

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

Top

 Post subject: Re: approximationPosted: Sun, 22 Apr 2012 01:18:55 UTC
 Member

Joined: Wed, 15 Feb 2012 07:19:33 UTC
Posts: 31
ah okay that's under normal distribution isn't it ... we haven't done that in school yet, guess I'll get to it.

*so using the z table is the only way to solve this problem? thanks!

Top

 Post subject: Re: approximationPosted: Sun, 22 Apr 2012 01:41:59 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 13993
Location: Austin, TX
thesocialnetwork wrote:
ah okay that's under normal distribution isn't it ... we haven't done that in school yet, guess I'll get to it.

*so using the z table is the only way to solve this problem? thanks!

"Only" is a dangerous thing to say in mathematics. In any case, I have little doubt that is what you are expected to do.

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

Top

 Post subject: Re: approximationPosted: Sun, 22 Apr 2012 01:49:49 UTC
 Member

Joined: Wed, 15 Feb 2012 07:19:33 UTC
Posts: 31
True! but in some cases ignorance is bliss. i'll just stick to norm distribution then. thank you.

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 5 posts ]

 All times are UTC [ DST ]

#### Who is online

Users browsing this forum: edm

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forum

Search for:
 Jump to:  Select a forum ------------------ High School and College Mathematics    Algebra    Geometry and Trigonometry    Calculus    Matrix Algebra    Differential Equations    Probability and Statistics    Proposed Problems Applications    Physics, Chemistry, Engineering, etc.    Computer Science    Math for Business and Economics Advanced Mathematics    Foundations    Algebra and Number Theory    Analysis and Topology    Applied Mathematics    Other Topics in Advanced Mathematics Other Topics    Administrator Announcements    Comments and Suggestions for S.O.S. Math    Posting Math Formulas with LaTeX    Miscellaneous