Wednesday

October 1, 2014

October 1, 2014

Posted by **Sam** on Wednesday, March 21, 2012 at 7:55pm.

a) it comes up tails exactly 12 times?

b) it comes up heads more than 22 times?

- probability -
**MathMate**, Wednesday, March 21, 2012 at 9:49pmThis is a binomial expansion with p=0.522, and q=1-p=0.478.

We will calculate the terms of

(p+q)^26.

Using the notation

(n,r)=n!/((n-r)!r!)=n choose r

the binomial expansion can be expressed as

(p+q)^26

=p^26+(26,1)p^25q+(26,2)p^24q^2+...+(26,r)p^(26-r)q^r...+(26,1)pq^25+(26,0)q^26

P(12 tails)

=P(14 heads)

=(26,12)p^(12)q^(14)

=0.1285...

P(>22)

=P(23)+P(24)+P(25)+P(26)

=(26,3)p^23q^3+(26,2)p^24q^2+(26,1)p^25q+(26,0)p^26

=0.00001759...

**Answer this Question**

**Related Questions**

Probability - Suppose that an unfair coin comes up heads 54.1% of the time. The...

statistics - air coin is flipped 20 times. a. Determine the probability that the...

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 - Carolyn tested a coin to see if it was evenly weighted. She flipped the ...

MATH - an unfair coin with pr[tails]= .15 is flipped 6 times. what is the ...

Math - A coin is loaded in such way that a tail is three times as likely to ...

Math - A coin is loaded in such way that a tail is three times as likely to ...

Math - A coin is loaded in such way that a tail is three times as likely to ...

Finite! please help - an unfair coin with pr[tails]= .15 is flipped 6 times. ...