A coins biased so that heads is 3 times as likely as tails I

A coin\'s biased so that heads is 3 times as likely as tails.

IT IS FLIPPED 3 TIMES.

c) Find the probability that each outcome in the sample space will occur.
d) write out the probability distribution function and the commulative distribuion function
e) find the probability of getting at least two heads
f) find P(1<X=<3)

Solution

a) as the coin is biased in ratio 3:1

Probability of heads = 3/(3+1) =3/4

b) sample space = {H,T}

c) P(H)=3/4

P(T)=1/4