Posted by Vikki on Friday, February 24, 2012 at 12:06am.
We would use the binomial expansion of
(0.541+0.459)^13, where n=13.
The probability of r occurrences of head is given by (n,r)(0.541)^r(0.459)^(n-r), where (n,r) stands for "n choose r" or
(n,r)=n!/(r!(n-r)!).
(a) For 6 heads, r=6, n=13
P(6H)=(13,6)0.541^6*0.459^7
=1716*0.02507*.004292
=0.1847
(b) exactly 6 tails is the same as exactly 7 heads, so calculate P(7H) using the above formula.
(c) at most 9 tails means at least 4 heads.
P(≤9T)
=P(≥4H)
=P'(<4H)
By Kolmogorov's second axiom, we can write
=1-P(<4H)
=1-(P(0H)+P(1H)+P(2H)+P(3H))
Note: You can view Kolmogorov's second axiom at:
http://mathworld.wolfram.com/KolmogorovsAxioms.html
Related Questions
probability - Suppose an unfair coin comes up heads 52.2% of the time if it is ...
Math - Suppose you toss a coin and will win $1 if it comes up heads. If it comes...
MATH - Suppose you toss a coin and will win $1 if it comes up heads. If it comes...
math (statistics) - an experiment consistbnof tossing a die and then flipping a ...
math - Suppose you toss a coin and it you win a dollar if it comes up heads. If ...
Intro to Probability, please check my work. - A fair coin is flipped three times...
math - In a game, a player tosses a coin 4 times. If the player gets 3 or 4 ...
Math Problem ( 6th grade math) - Brandon tosses a coin 500 times. The coin lands...
Statistics - A coin was flipped 60 times and came up heads 38 times. (a) At the...
Statistics - A coin was flipped 60 times and came up heads 38 times. (a)at the ....
For Further Reading
