Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their responses follows. X Open spreadsheet a. Develop a joint probability table for these data (to 3 decimals). Undergraduate Major Business Engineering Other Totals Intended Enrollment Status Full-Time Part-Time Totals b. Use the marginal probabilities of undergraduate major (Business, Engineering, or Other) to comment on which undergraduate major 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 Engineering major (to 3 decimals)? 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 (to 3 decimals)? e. Let A denote the event that student intends to attend classes full-time in pursuit of an MBA degree, and let B denote the event that the student was an undergraduate Business major. Are events A and B independent? Full Time Part Time Totals Full Time Part Time Totals Part C: Undergraduate Major Business Engineering Other 423 401 824 Totals 392 75 890 594 44 1039 986 119 1929 Develop a joint probability table for these data in the blue cells. Place your values in the green cells (to 3 decimals). Part A: Joint Probability Table Business Part A: Formulas Used Engineering Other Totals Business Engineering Other Totals Full Time #N/A #N/A #N/A #N/A Part Time #N/A #N/A #N/A #N/A Totals #N/A #N/A #N/A #N/A Part C: #N/A Part D: #N/A Part D: Question Prompts for Parts C & D Part 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 Engineering major (to 3 decimals)? Part 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 (to 3 decimals)?

Please see attachment below

Create a probability distribution table for your data. Data: 0.20,  0.20,  0.46,  0.46,  2.10,  2.10,  5.50,  11.80,  12.20,  12.20,  13.22,  14.65,  16.07,  17.49,  18.91,  20.33,  20.50,  20.50,  21.75,  23.18

The second slide is the first part of the question  and the first slide is the second part of the question

A daycare provider has determined that 80% of the children in her care develop colds each winter. This year there are 40 children at the daycare. What is the probability that fewer than 30 children will develops colds this winter? Please explain. Options A. 0.2148 B. 0.2852 C. 0.5704 D. 0.4297

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