In: Math
sp shift success
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Construct a contingency table to summarize the distribution of
transactions by sales-
person (Alphonse, Belinda) and by success (Y, N). Please include
the margins in your
table.
(a) (3 points) First express the contingency table as a frequency
table (in terms of
counts)
(b) (1 point) Reproduce the table only this time in terms of
relative frequency (i.e.,
proportions vis a vis the total, rather than row-totals or
column-totals)
(c) Zihan, PJs chief data analyst, has randomly chosen one
transaction from the dataset
represented by the contingency table above (i.e., part b). Please
calculate the
following.
i. (2 points) The probability that the transaction is attributed to
Alphonse (re-
gardless of success) or represents a successful sale attributed to
Belinda.
ii. (2 points) Zihan informs you that the transaction represents a
successful sale.
Calculate the probability that the sale was made by Belinda.
c) i ) Aplhonse total = > 35 +20+150+245
Belinda (success)= > 300 + 332
Total = 1090
probabality = 35 +20+150+245 + 332 /1090
= 0.717
ii)
sucessful belinda = 332 /1090 = 0.304