Alex has two main accounts that purchase his bows on a regular basis, G2 Archery

Question

Alex has two main accounts that purchase his bows on a regular basis, G2 Archery and Straight Arrow Archery. G2 has a customer base of 360 customers while Straight Arrow Archery has a customer base of 530 customers. There are 190 customers who purchase from both G2 and Straight Arrow. (3 points each) a. Draw a Venn diagram for this application. 5. b. Find the number of customers who purchase from either Straight Arrow Archery or G 2 Archery. Find the probability that a customer purchases from G2 archery given they purchased from Straight Arrow Archery. Round your answer to 4 decimals. c.

Explanation / Answer

a)

Venn diagram will be two intersecting circles representing G2 Archery and Straight Arrow Archery.

Their intersection has cardinality 190

Whereas the total cardinality of G2 Archery is 360 and the total cardinality of Straight Arrow Archery is 530.

b)

No. of G2 Archery or Straight Arrow Archery

= 360 + 530 - 190

= 700

c)

P(G2 Archery given Straight Arrow Archery)

= P(G2 Archery and Straight Arrow Archery)/P(Straight Arrow Archery)

= 190/530

= 0.3585

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