Question: Pivot table - Probabilities Question (Please show the probabilities in decimal form) Using the two pivot tables above, please answer the following probability questions: a.

Pivot table - Probabilities Question (Please show the probabilities in decimal form)

Pivot table - Probabilities Question (Please show the probabilities in decimal form)

Using the two pivot tables above, please answer the following probability questions:

a. Compute the following quantities [P(A|B) means the probability of A given B]:

i. P(CC = 1|Loan = 1) (the proportion of credit card holders among the loan acceptors)

ii. P(Online = 1|Loan = 1)

iii. P(Loan = 1) (the proportion of loan acceptors)

iv. P(CC = 1|Loan = 0)

v. P(Online = 1|Loan = 0)

vi. P(Loan = 0)

b. Use the quantities computed above to compute the naive Bayes probability P(Loan = 1|CC = 1, Online = 1)

Online Count of ID Personal Loan 1827 189 2016 2693 291 2984 1 Grand Total 4520 480 5000 Grand Total CreditCard Count of ID Personal Loan 3193 337 3530 1327 143 1470 1 Grand Total 4520 480 5000 Grand Total

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