A coin returns heads with probability 1 3 . You keep flipping the coin until the most recent flips is heads and the two immediately preceding flips were tails (that is you stop flipping the coin until the pattern T, T,H appears). Let Y denote the number of flips made. Compute E[Y ].

E(Y) = 1.666667

Step-by-step explanation:

By E(Y), we mean the expected value of Y. This is given as:

E(Y) = ,

Where F is the frequency.

As given:

The sample space (S) = {T,T,H}

And has a probability of:

H = 1/3

T = 2/3.

Frequency:

H = 1

T = 2.

Thus,

E(Y) = 1*(1/3) + 2*(2/3)

E(Y) = 1.666667.

i am sorry it just submitted an answer but the answer is 365 boys. hopes this

step-by-step explanation:

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.