2. Using the tables in part 1, find the following probabilities:i.What is the probability that the student doesn't have the required GPA, he gets ascholarship and he missed the due date?ii.What is the probability that the student missed the due date?ii.Given that the student didn't miss the due date, what is the probability that he had therequired GPA? TABLES FOUND IN PART 1:P(GPA) = 0.401P(Scholarship | GPA ) = 0.7756P(Scholarship | No GPA) = 0.0651P(On time | GPA and Scholarship) = 0.9646P(On time | No GPA and No Scholarship) = 0.0179P(On time | GPA and No Scholarship) = 0.0222P(On time | No GPA and Scholarship) = 0.034For Table 1, having GPA is a constant. So, the table of either scholarship or no scholarship, will be given by the ones, where the student has an accurate GPA.So, P(Scholarship | GPA) = 0.7756 is the total probability of students, receiving the scholarship.So, from here, TABLE 1:Having GPAScholarshipNo ScholarshipTotalOn Time0.74820.00490.7531Not on Time0.02740.21950.2469Total0.77560.22441For Table 2, not having GPA is a constant. So, the table of either scholarship or no scholarship, will be given by the ones, where the student does not have an accurate GPA.So, P(Scholarship | No GPA) = 0.0651 is the total probability of students, receiving the scholarship.Not Having GPAScholarshipNo ScholarshipTotalOn Time0.00220.01670.0189Not on Time0.06290.91820.9811Total0.06510.93491Out of 1000,No. of people with GPA = 401.No of people without GPA = 599.Based on this table we construct Table 3, a 1000 hypothetical two-way table.Having GPANot Having GPATotalScholarshipNo ScholarshipScholarshipNo ScholarshipOn Time300110313Not on Time118838550687Total31190395601000

Name: 2. Using the tables in part 1, find the following probabilities:i.Wha
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Description: 2. Using the tables in part 1, find the following probabilities:i.What is the probability that the student doesn't have the required GPA, he gets ascholarship and he missed the due date?ii.What is the probability that the student missed the due date

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2. Using the tables in part 1, find the following probabilities: i. What is the probability that the student doesn't have the required GPA, he gets a scholarship and he missed the due date? ii. What is the probability that the student missed the due date? iii. Given that the student didn't miss the due date, what is the probability that he had the required GPA?

2. Using the tables in part 1, find the following probabilities: i. What is the probability that the student doesn't have the required GPA, he gets a scholarship and he missed the due date? ii. What is the probability that the student missed the due date? iii. Given that the student didn't miss the due date, what is the probability that he had the required GPA?

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

2. Using the tables in part 1, find the following probabilities:
i.
What is the probability that the student doesn't have the required GPA, he gets a
scholarship and he missed the due date?
ii.
What is the probability that the student missed the due date?
ii.
Given that the student didn't miss the due date, what is the probability that he had the
required GPA?

TABLES FOUND IN PART 1:
P(GPA) = 0.401
P(Scholarship | GPA ) = 0.7756
P(Scholarship | No GPA) = 0.0651
P(On time | GPA and Scholarship) = 0.9646
P(On time | No GPA and No Scholarship) = 0.0179
P(On time | GPA and No Scholarship) = 0.0222
P(On time | No GPA and Scholarship) = 0.034
For Table 1, having GPA is a constant. So, the table of either scholarship or no scholarship, will be given by the ones, where the student has an accurate GPA.
So, P(Scholarship | GPA) = 0.7756 is the total probability of students, receiving the scholarship.
So, from here, TABLE 1:
Having GPA
Scholarship
No Scholarship
Total
On Time
0.7482
0.0049
0.7531
Not on Time
0.0274
0.2195
0.2469
Total
0.7756
0.2244
1
For Table 2, not having GPA is a constant. So, the table of either scholarship or no scholarship, will be given by the ones, where the student does not have an accurate GPA.
So, P(Scholarship | No GPA) = 0.0651 is the total probability of students, receiving the scholarship.
Not Having GPA
Scholarship
No Scholarship
Total
On Time
0.0022
0.0167
0.0189
Not on Time
0.0629
0.9182
0.9811
Total
0.0651
0.9349
1
Out of 1000,
No. of people with GPA = 401.
No of people without GPA = 599.
Based on this table we construct Table 3, a 1000 hypothetical two-way table.
Having GPA
Not Having GPA
Total
Scholarship
No Scholarship
Scholarship
No Scholarship
On Time
300
1
10
313
Not on Time
11
88
38
550
687
Total
311
90
39
560
1000

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