Posted by Vikki on Friday, February 24, 2012 at 12:06am.
Suppose that an unfair coin comes up heads 54.1% of the time. The coin is flipped a total of 13 times.
a) What is the probability that you get exactly 6 heads?
b) What is the probability that you get exactly 6 tails?
c) What is the probability that you get at most 9 tails?
- Probability - MathMate, Friday, February 24, 2012 at 1:31pm
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
(a) For 6 heads, r=6, n=13
(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.
By Kolmogorov's second axiom, we can write
Note: You can view Kolmogorov's second axiom at:
Answer this Question
More Related Questions
- probability - Suppose an unfair coin comes up heads 52.2% of the time if it is ...
- math - In a game, a player tosses a coin 4 times. If the player gets 3 or 4 ...
- Stat. - A trick coin has been weighted so that heads occurs with a probability ...
- Math - 10. A coin is loaded so that the probability of heads is 0.55 and the ...
- Intro to Probability, please check my work. - A fair coin is flipped three times...
- algebra I - If you toss a coin, the probability of gettig heads is 1/2. If you ...
- statistics - air coin is flipped 20 times. a. Determine the probability that the...
- probability - Adefective coin minting machineproducescoinswhoseprobability ...
- math - Carolyn tested a coin to see if it was evenly weighted. She flipped the ...
- math-probability - A student claims that if a fair coin is tossed and comes up ...