Question

The following data represent the scores of 50 students on a statistics exam. Suppose that one of the 50 students is chosen at random and that student’s score is noted. 39 51 59 63 66 68 68 69 70 71 71 71 73 74 76 76 76 77 78 79 79 79 79 80 80 82 83 83 83 85 85 86 86 88 88 88 88 89 89 89 90 90 91 91 92 95 96 97 97 98 A. What is the probability that the student’s score is 88? B. What is the probability that the student’s score is less than 60? C. What is the probability that the student’s score is between 70 and 79, inclusive?

          The following data represent the scores of 50 students on a statistics exam. Suppose that one of the 50 students is chosen at random and that student’s score is noted.

39 51 59 63 66 68 68 69 70 71
71 71 73 74 76 76 76 77 78 79
79 79 79 80 80 82 83 83 83 85
85 86 86 88 88 88 88 89 89 89
90 90 91 91 92 95 96 97 97 98

A. What is the probability that the student’s score is 88?

B. What is the probability that the student’s score is less than 60?

C. What is the probability that the student’s score is between 70 and 79, inclusive?

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The following data represent the scores of 50 students on a statistics exam. Suppose that one of the 50 students is chosen at random and that student’s score is noted.

39 51 59 63 66 68 68 69 70 71
71 71 73 74 76 76 76 77 78 79
79 79 79 80 80 82 83 83 83 85
85 86 86 88 88 88 88 89 89 89
90 90 91 91 92 95 96 97 97 98

A. What is the probability that the student’s score is 88?

B. What is the probability that the student’s score is less than 60?

C. What is the probability that the student’s score is between 70 and 79, inclusive?

Added by Mercedes N.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert T. L.

02/11/2023

Step 1

a) The probability that the student's score is 882 is 0, because the score range for an exam is typically between 0 and 100. Show more…

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The following data represent the scores of 50 students on a statistics exam. Suppose that one of the 50 students is chosen at random and that student’s score is noted. A. What is the probability that the student’s score is 88? B. What is the probability that the student’s score is less than 60? C. What is the probability that the student’s score is between 70 and 79, inclusive?

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Transcript

00:01 Hey there, welcome to numerade.

00:03 We are looking at the stat exam scores here of 50 students, where each score here is noted, and 50 students here are randomly chosen.

00:16 We're asked to find the following probabilities here.

00:19 Starting with part a, we're asked to find the probability that the student's score is 88.

00:26 So what we're going to do here is take the probability of the probability of.

00:30 88 basically equals the number of times the frequency of 88 divided by our sample size.

00:44 So how many times does 88 repeat in our dataset here? so as count, we have 1, 2, 3, 4 times it looks like.

00:53 So our numerator here is 4 divided by the number of student scores here.

01:00 So we have 50.

01:03 So this will simplify to 2 divided by 25 in which we get a probability here of around 0 .08.

01:15 All right.

01:20 Part b, what is the probability that the student score is less than 60? probability that x is less than 60.

01:31 So let's count the number of scores here.

01:34 There are less than 60 over our sample size.

01:41 So we have less than 60.

01:45 We have 59, 51, and 39.

01:48 So those three scores only are less than 60.

01:52 So we have 3 divided by 50 equaling 0 .06...

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