00:01
All right, so here in the given question, we have been provided a probability distribution of a discrete random variable x, right? and we have been asked to compute the indicated probabilities in this case.
00:12
Okay, so first of all, in the first part, we have been asked to compute the probability of x is greater than 6.
00:19
Now, here this probability will be equal to 0 because the random variable x does not take any value, which is greater than 6, right? now, the next is to compute the probability of x is less than equal to 1.
00:32
Now, this will be equal to probability of x is equal to 1, which is equal to 0 .18.
00:39
Now, in the next part, we have to compute the probability of x is not equal to 0, 4, sorry.
00:48
So this will be equal to probability of x is 1 plus probability of x is 2, plus probability of x is 3, plus probability of x is 5 plus probability of x is 6 right so except for the 4 we will add up all the probabilities this is 0 .18 .19 plus 0 .13 plus 0 .08 plus 0 .08 so this is equal to 0 .78 next is here we have to compute the probability that the value of x lies in between 2 and 4 right so this will be equal to probability of x is 2 plus probability of x is 3 plus probability of x is 4 right and this will be equal to 0 .19 plus 0 .13 plus 0 .22 which is equal to 0 .54...