C. The following data set shows the number of customers who have overdue accounts, according to credit card type and number of days d the account is overdue. Card Type Days Overdue Standard Gold Platinum Total d<30 154 117 56 327 31sds60 87 101 10 198 61sd<90 33 49 12 94 d290 10 15 17 42 Total 284 282 95 661 (i) What is the probability that a randomly selected account 31-60 days overdue is a gold card? (ii) What is the probability that a randomly selected gold card account is 61–90 days overdue? (iii) Determine whether the events 31sds60 and Platinum are independent.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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C. The following data set shows the number of customers who have overdue accounts,
according to credit card type and number of days d the account is overdue.
Card Type
Days Overdue
Standard
Gold
Platinum
Total
d<30
154
117
56
327
31sd<60
87
101
10
198
61sds90
33
49
12
94
d290
10
15
17
42
Total
284
282
95
661
(i) What is the probability that a randomly selected account 31–60 days
overdue is a gold card?
(ii) What is the probability that a randomly selected gold card account is 61–90
days overdue?
(iii) Determine whether the events 31sds60 and Platinum are independent.
Transcribed Image Text:C. The following data set shows the number of customers who have overdue accounts, according to credit card type and number of days d the account is overdue. Card Type Days Overdue Standard Gold Platinum Total d<30 154 117 56 327 31sd<60 87 101 10 198 61sds90 33 49 12 94 d290 10 15 17 42 Total 284 282 95 661 (i) What is the probability that a randomly selected account 31–60 days overdue is a gold card? (ii) What is the probability that a randomly selected gold card account is 61–90 days overdue? (iii) Determine whether the events 31sds60 and Platinum are independent.
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