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A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".

Reason for Application
Quality Cost Other Totals

Full time 421 393 76 890
Part time 821 986 122 1929

Letting A be the event that a student is full time and let B the event that the student lists school cost as the first reason for applying.

a. Calculate P(B)
b. Calculate P(B|A)
c. Are A and B independents and I need to justify the answer

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Quantitative Methods/Probabilities
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A survey of MBA students obtained the following data on “student’s first reason for application to the school in which they matriculated”.

Reason for Application
Quality Cost Other ...

Solution provided by:
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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