Two fair dice are tossed and the product of the outcomes is recorded:
(a)Write down the sample space s, the mode and median of S
S={1,2,3,4,5,6,2,4,6,8,10,12,3,6,9,12,15,18,4,8,12 ,16,20,24,5,10,15,20,25,30,6,12,18,24,30,36}
Mode: 6 and 12 (Bimodal)
Medain=10
(b)compute the probabilities of the events below:
(i)Product=9
P(9)=P(3*3)=1/36
(ii)Product=13
P(13)=0
Can I write P(13)=Ф
(iii)Product is a perfect square greater than 2
which of my answers is true :
P(perfect square >2)=P{(2,2) ,(3,3),(4,4)(5,5),(6,6)}=5/36
or
p(perfect square >2)=p(4)+p(9)+P(16)+P(25)
=3/36 +1/36 +1/36 +1/36 +1/36=7/36
(iv)Product=12
p(12)=p{(3,4),(4,3),(2,6),(6,2)}=4/36
(c)Compute the expected value for the product
What is the meaning of expected value?and How can I obtain it?
(d)Compute the probabilities of obtaining a double six and the expected number of attempts till a double six is attained
Does the question mean Probability of obtaining a double 6, (6,6) is 1/36.?
and how can i obtain the expected number of attempts till a double 6 is attained