Question

Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values; also determine the requested probabilities. Give exact answers in form of fraction. F(1) = F(2) = F(3) = (a) P(X ? 1.5) = (b) P(X ? 3) = (c) P(X > 2) = (d) P(1 < X ? 2) = f(x) = (125/31)(1/5)$^x$, x = 1,2,3

          Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values; also determine the requested probabilities.
Give exact answers in form of fraction.
F(1) = 
F(2) = 
F(3) = 
(a) P(X ? 1.5) = 
(b) P(X ? 3) = 
(c) P(X > 2) = 
(d) P(1 < X ? 2) = 
f(x) = (125/31)(1/5)$^x$, x = 1,2,3
        
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Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values; also determine the requested probabilities.
Give exact answers in form of fraction.
F(1) = 
F(2) = 
F(3) = 
(a) P(X ? 1.5) = 
(b) P(X ? 3) = 
(c) P(X > 2) = 
(d) P(1 < X ? 2) = 
f(x) = (125/31)(1/5)^x, x = 1,2,3

Added by Cynthia T.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Please solve quickly. Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values. Also, determine the requested probabilities: f(x) = 1/25, 3/11, 5/1, x = 1, 2, 3. Give exact answers in the form of fractions. F(= F2= F3= : (a) P(X = 1) (b) P(X = 3) (P(1 < X < 2)
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Transcript

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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.
00:14 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...
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