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Of the last ten times you've dropped your toast, it has landed sticky-side downnine times. If these are a random sample from the Bernoulli (p) distribution, find an 80% confidence interval for p, the probability of the sticky side landing down.

Of the last ten times you've dropped your toast, it has landed sticky-side downnine times. If these are a random sample from the Bernoulli (p) distribution, find an 80% confidence interval for p, the probability of the sticky side landing down.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Of the last ten times you've dropped your toast, it has landed sticky-side downnine times. If these are a random sample from the Bernoulli (p) distribution, find an 80% confidence interval for p, the probability of the sticky side landing down.

Expert Solution
Step 1

We know that Bernouli Distribution is given by,

P(X=x)=Cxnpx(1-p)n-x      where x=0,1,2,3........Now , from given information we have,p=910AND n=10

 

Now, we for 80% confidence interval the z-value is 1.282(From normal table)

Therefore 80% confidence interval for p is,

[ p-zp(1-p)n, p+zp(1-p)n]=[ p-1.282p(1-p)n, p+1.282p(1-p)n]=[0.778,1.021]

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