Help with these questions :( Urgent



I have no idea how to start or how to do it.

Can someone be extremely helpful ?
Question 3 (Unit 1)
– 10 marks
(a)
The random variables V
and W
have the following probability generating
functions.
(i)
ΠV (s)= 7s / 10 - 3s

(ii)
ΠW (s)=  (7 + 3s / 10 ) power of 8

Use the table of discrete probability distributions on page 4 of the Handbook
to identify the distribution of each of the random variables. In each case, you
should name a family of distributions and give the values of any parameters.
p(X=x)

I haven't got a clue how to do it

(b)
The number of items bought by each customer entering a chemist’s shop is a
random variable Xthat has a geometric distribution starting at 0 with mean
1.5.

(i)
Find the value of the parameter pof the geometric distribution and
hence write down the probability generating function of X.

(ii)
Six customers visit the shop. The number of items bought by a
customer is independent of the number bought by any other customer.
Write down the probability generating function of Y, the total number
of items they buy. Use the table of discrete probability distributions on
page 4 of the Handbook to identify the distribution of Y, and hence find
the mean and variance of the total number of items purchased by the six
customers.
.



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