Need help on parts A, B, C, D, & E (i.e. all blank text-boxes) 4.5.6.7.8.9.●O●OStudents taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time orpart-time student. A summary of their responses follows.IntendedFull-TimeEnrollment Part-TimeStatusTotalsIntendedEnrollmentStatusIf required, round your answers to four decimal places.(a) Develop a joint probability table for these data.Undergraduate MajorBusiness Engineering Other Totals3251972517731501611945054753584451,278Full-TimePart-TimeITotalsBusinessUndergraduate MajorEngineeringOther(b) Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the mostpotential MBA students.P(B) =P(E)=so business is the undergraduate major that produces the most potential MBA students.(c) If a student intends to attend classes full-time in pursuit of an MBA degree, what is the probability that the student was an undergraduate engineeringmajor?ITotalsand P(O) =P (Engineering | Full-Time) =(d) If a student was an undergraduate business major, what is the probability that the student intends to attend classes full-time in pursuit of an MBA degree?P (Full-Time | Business) = 7.8.9.♥●OIntendedFull-TimeEnrollment Part-TimeStatusTotalsIntendedEnrollmentStatusBusiness Engineering Other Totals325197251773150161194505358445 1,278If required, round your answers to four decimal places.(a) Develop a joint probability table for these data.475Full-TimePart-TimeTotalsUndergraduate MajorBusiness Engineering OtherTotals(b) Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the mostpotential MBA students.P(B) =, P(E)=, and P(O) =(c) If a student intends to attend classes full-time in pursuit of an MBA degree, what is the probability that the student was an undergraduate engineeringmajor?so business is the undergraduate major that produces the most potential MBA students."P (Engineering | Full-Time)(d) If a student was an undergraduate business major, what is the probability that the student intends to attend classes full-time in pursuit of an MBA degree?P (Full-Time | Business) =(e) Let F denote the event that the student intends to attend classes full-time in pursuit of an MBA degree, and let B denote the event that the student was andundergraduate business major. Are events F and B independent?Select your answer - ✓

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Need help on parts A, B, C, D, & E (i.e. all blank text-boxes) 4.5.6.7.8.9.●O●OStudents taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time orpart-time student. A summary of their responses follows.IntendedFull-TimeEnrollment Part-TimeStatusTotalsIntendedEnrollmentStatusIf required, round your answers to four decimal places.(a) Develop a joint probability table for these data.Undergraduate MajorBusiness Engineering Other Totals3251972517731501611945054753584451,278Full-TimePart-TimeITotalsBusinessUndergraduate MajorEngineeringOther(b) Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the mostpotential MBA students.P(B) =P(E)=so business is the undergraduate major that produces the most potential MBA students.(c) If a student intends to attend classes full-time in pursuit of an MBA degree, what is the probability that the student was an undergraduate engineeringmajor?ITotalsand P(O) =P (Engineering | Full-Time) =(d) If a student was an undergraduate business major, what is the probability that the student intends to attend classes full-time in pursuit of an MBA degree?P (Full-Time | Business) = 7.8.9.♥●OIntendedFull-TimeEnrollment Part-TimeStatusTotalsIntendedEnrollmentStatusBusiness Engineering Other Totals325197251773150161194505358445 1,278If required, round your answers to four decimal places.(a) Develop a joint probability table for these data.475Full-TimePart-TimeTotalsUndergraduate MajorBusiness Engineering OtherTotals(b) Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the mostpotential MBA students.P(B) =, P(E)=, and P(O) =(c) If a student intends to attend classes full-time in pursuit of an MBA degree, what is the probability that the student was an undergraduate engineeringmajor?so business is the undergraduate major that produces the most potential MBA students.&#34;P (Engineering | Full-Time)(d) If a student was an undergraduate business major, what is the probability that the student intends to attend classes full-time in pursuit of an MBA degree?P (Full-Time | Business) =(e) Let F denote the event that the student intends to attend classes full-time in pursuit of an MBA degree, and let B denote the event that the student was andundergraduate business major. Are events F and B independent?Select your answer - ✓

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