Posted by AMber on Saturday, August 4, 2012 at 10:03am.
Here are some properties of the experiment:
1. Each trial is Bernoulli (i.e. yes/no)
2. Number of trials is fixed.
3. probability of success does not vary from trial to trial.
4. each trial is independent of the others (assumed random sample).
All these point to the binomial distribution with N=10, p=0.95, q=(1-0.95)=0.05, and success="have had at least one adult beverage".
P(X=i)=(N,i)p^i q^(N-i)
and (N,i) = number of ways to choose i objects from N distinct objects.
(N,i)=N!/(i!(N-i)!)
a). N=10, i=10, p=0.95, q=0.05
P(X=10)=(10,10)0.95^10 0.05^0
=1*0.95^10*1
b) At least 6 => X=6,7,8,9,10
So
P(X≥6)=∑P(X=i), i=6 to 10
c) At most 8 => X=1,2,3...8
=> X≠9 and X≠10
We can use the identity
P(X≤8)=∑P(X=i), i=1 to 8
=1-P(X≥9)
=1- [∑P(X=i), i=9 to 10]
which simplifies the calculations.
d) at most 1 => X=0 or X=1.
Related Questions
Stats - A new extended-life light bulb has an average service life of 750 hours...
math - at breakfast buffet, 93 people chose coffee for there beverage and 47 ...
Statistics - Can you explain confidence intervals as it relates to the results ...
college psych - All of the following are true of major depressive disoder EXCEPT...
Calculus Help? - I have no idea where to start? A survey of one thousand people ...
Calculus - A survey of one thousand people found that 70% of the people have a ...
math - if you have 5 candy bars and have to share them with 20 people but 1/4 ...
Calculus Check - A survey of one thousand people found that 70% of the people ...
Cacluluc CHECK - A survey of one thousand people found that 70% of the people ...
MATH HELP PLEASE!! - On a flight with 138 passengers, each passenger had the ...
For Further Reading
