00:01
Alright, so in the given question we have been provided a probability distribution.
00:05
Now first part of the question is to complete the given probability distribution right.
00:09
So here we have 0, the probability is 0 .12, 1 is 0 .18, 2 is 0 .30, 3 is 0 .15, the probability 4 is missing here, for 5 it is 0 .10 and for 6 the probability is 0 .05 right.
00:31
So first of all here we know that the sum of all the probabilities should be equal to 1 right.
00:40
So here the sum of all the probabilities of x should be equal to 1.
00:45
So this will be equal to 0 .12 plus 0 .18 plus 0 .30 plus 0 .15 plus probability of x is 4 plus 0 .10 plus 0 .05, this should be equal to 1 right.
01:02
So here this is equal to, so this is 0 .9 plus the probability of 4, this is equal to 1.
01:10
So the probability of 4 will be 1 minus 0 .9 that is 0 .10.
01:15
So this is 0 .10 right.
01:18
Now next is to compute the expected value, for that we first need to compute the value that is x into probability of x right.
01:26
So this is 0, 0 .18, this will be 2 into 0 .30, this is 0 .60, then 3 into 0 .15, this is 0 .45, then 4 into 0 .10 is 0 .40, this is 0 .50, then 6 into 0 .05 is 0 .30 right...