The number of eggs,X, laid by the female tawny owl (Strix Aluco) has the probability distribution given in the following table

X 2 3 4
P(X=x) 0.1 0.2 0.7

For any egg, the probability that it is hatched is 0.8, independent of all other eggs . Let Y denote the number of hatched eggs in a randomly chosen nest.

(a). Obtain the probability distribution of Y
(b). Find E(Y) and Var( Y).

Question

The number of eggs,X, laid by the female tawny owl  (Strix Aluco) has the probability distribution given in the following table 

X             2         3         4
P(X=x)    0.1     0.2     0.7


For any egg, the probability that it is hatched is 0.8, independent of all other eggs . Let Y denote the number of hatched eggs in a randomly chosen nest. 

(a). Obtain the probability distribution of Y
(b). Find E(Y) and Var( Y).

calculusfunctions · Answer

How much were you able to do? Show me your work and then I'll guide you from there.

tkhunny · Answer

They NEVER lay just one?  That's a little odd.

anonymous · Answer

i was trying to use the method of First value of x and second value of X and combining two sets of results that give the probability distribution of Y, but then i failed to get it

tkhunny · Answer

Look at these things:

(p+q)^2 = ??

(p+q)^3 = ??

(p+q)^4 = ??

See if that leads you anywhere useful.

unklerhaukus · Answer

$$\sum_{n=1} P_n=1$$

calculusfunctions · Answer

Do you know the Binomial Distribution?