Question on Probability and Statistics with Calculus using “R”

timer Asked: Jun 25th, 2018
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I have 2 questions that need to be solve using “R” programming language.

I will upload the two questions please contact if you could help. Please include graphs and commands

Question on Probability and Statistics with Calculus using “R”

Tutor Answer

School: Duke University

Hi, here is the solutions ;)

Number 1 Answer:
The binomial can be set up based on the formula (n choose k) pk(1-p)n-k
We know that .1 of all businessman wear ties too tight, which also means .9 (1-.1) of them don't.
a) At least one tie is too tight is also the same as 1-p(no ties are too tight)
to find p(no ties are too tight), we use the binomial: (20 choose0) .1(0) .920 = .121577
1 - .12577 = .8784
b) more than two ties are too tight - this is the same as saying 1- p(no ties are too tight) - p(1 tie
is too tight) - p(2 ties are too tight)
to find p(1), we have (20 choose 1) .11 .919 = .27017
to find p(2), we have (20 choose 2) .12 .918 = .28518
Since we already have p(0), taking 1 - .121577 - .27017 - .28518,w...

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