00:02
Hello students, today we will discuss about this question.
00:04
In this question, we need to evaluate the cumulative distribution function f for the given random variable x at a specified value.
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Also, we need to determine the given probabilities.
00:17
So here, first of all, we are given f of x, that is equals to 512 divided by 73, multiplied by 1 divided by 8, whole raise to x.
00:30
X is equals to 1 2 and 3 and then in the part a we need to find f of 1 is equal to question mark f of 2 is equals to question mark f of 3 that is equals to question mark and then in the second part we need to find the probability of x is less than or equals to 1 .5 is equal to question mark and in the part c we need to find the probability of x is less than or equals to 3 that is equals to question mark.
00:59
So here first of all, we know that here it is x, here it is p of x, and here it is f of x.
01:07
So that is one, two, three, and here it is total.
01:11
So for first one, that is p of x, that is 0 .8761.
01:17
So therefore, f of one that is also 0 .8767...