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There are 5000 undergraduates registered at a certain college. Of them, 453 are taking one course, 670 are taking two courses, 565 are taking three courses, 1889 are taking four courses, 1332 are taking five courses, and 91 are taking six courses. Let $X$ be the number of courses taken by a student randomly sampled from this population. Find the probability distribution of $X$. Round the answers to four decimal places as needed.

          There are 5000 undergraduates registered at a certain college. Of them, 453 are taking one course, 670 are taking two courses, 565 are taking three courses, 1889 are taking four courses, 1332 are taking five courses, and 91 are taking six courses. Let $X$ be the number of courses taken by a student randomly sampled from this population. Find the probability distribution of $X$. Round the answers to four decimal places as needed.
        
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There are 5000 undergraduates registered at a certain college. Of them, 453 are taking one course, 670 are taking two courses, 565 are taking three courses, 1889 are taking four courses, 1332 are taking five courses, and 91 are taking six courses. Let X be the number of courses taken by a student randomly sampled from this population. Find the probability distribution of X. Round the answers to four decimal places as needed.

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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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There are 5000 undergraduates registered at a certain college. Of them, 453 are taking one course, 670 are taking two courses, 565 are taking three courses, 1889 are taking four courses, 1332 are taking five courses, and 91 are taking six courses. Let X be the number of courses taken by a student randomly sampled. x 1 2 3 4 5 6 P(x) 453 670 565 1889 1332 91
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Transcript

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00:01 Hello students according to the given question we have to find the probability values so it was given that total total registered students will be equal to 5 ,000 so here probability of the registered for one course will be given as 458 so the probability is divided by 5 ,000 which is equal to 0 .0916 and probability of registered for two courses is given as 665 is divided by 5 ,000 which is equal to 0 .133.
00:51 And registered for three courses probability will be 564 out of 5 ,000 which is equal to 0 .133.
00:52 And registered for 3 courses probability will be 564 out of 5 ,000, which is equal to 0 .64.
01:03 1128.
01:05 And now probability of registered for four courses will be equal to 1884 out of 5 ,000.
01:16 So that is equal to 0 .3768...
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