Question

In: Statistics and Probability

Given the data on scores of students final grade in statistics (in percent) determine the following...

Given the data on scores of students final grade in statistics (in percent) determine the following statistics.

43           45           48           51           53           54           57           59           60           60           60           60           61

70           70           71           71           72           72           72           75           76           76           79           81           81

83           85           87           88           88           89           89           91           92           93           96           98           98

99           100         101         101

1.       Create a relative frequency distribution table and histogram to determine the percentage of students getting a particular grade in statistics class. Do this by separating into 7 different classes by using 40’s, 50’s, 60’s, 70’s, 80’s, 90’s, 100’s. This will essentially be a table and graph of the probability distribution for final grade.

2.       Determine the following

a.       What is the probability of having a final score below 60?

b.       What is the probability of having a final score between 60 and 90?

c.        What is the probability of having a final score above 70?

Solutions

Expert Solution

Relative frequency =

corresponding class frequency /total frequency

Percentage =Relative frequency *100

A) Prob of final score below 69 =

sum of previous frequency below 60/total frequency =8/43=0.186

B) Prob of score between 60 and 90 =

P(X<=90)-P(X<=60)=(0.767-0.186) = 0.581

C) Probability of final score above 70 =0.442

Solution file is attached go through it

Thanks


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