Harrison Water Sports has three retail outlets: Vancouver, Victoria, and Nanaimo

Question

Harrison Water Sports has three retail outlets: Vancouver, Victoria, and Nanaimo. The Vancouver store does 50 percent of the total sales in a year, while the Victoria store does 35 percent of the total sales, and Nanaimo the remainder. Further analysis indicates that of the sales in Vancouver, 20 percent are in boat accessories. The percentage of boat accessories at the Victoria store is 30 and the percentage at the Nanaimo store is 25. 18) If a sale is recorded as a boat accessory, the probability that the sale was made at the Victoria store is A) 0.433 B) 0.35 C) 0.30 D) 0.2425 E) 0.105 Answer: A L.O: 5 19) Overall, the probability that a sale by Harrison Water Sports will be for a boat accessory is A) 0.2425 B) 0.105 C) 0.10 D) 0.375 E) 0.30 Answer A L.O.: 5 20) If a sale is recorded as a boat accessory, the probability that the sale was made at the Nanaimo store is A) 0.155 B) 0.375 C) 0.2245 D) 0.25 E) 0.15 Answer: A

Explanation / Answer

18) P( sale is at Victoria given boat acc. was sold)

= P(Victoria)*P(Victoria and boat.acc) / P(Victoria)*P(Victoria and boat.acc) +P(Nanamio)*P(Nanamio and boat.acc) +P(Vanc)*P(Vanc and boat.acc)

= (.35*.30)/(.35*.30+.50*.20+.15*.25) = .433

A is right

19) P( sale by HWS will be a boat acc.)

= P(Victoria)*P(Victoria and boat.acc) +P(Nanamio)*P(Nanamio and boat.acc) +P(Vanc)*P(Vanc and boat.acc)

= (.35*.30+.50*.20+.15*.25)

= .2425

20) P( sale is at Nanaimo given boat acc. was sold)

= P(Nanaimo)*P(Nanaimo and boat.acc) / P(Victoria)*P(Victoria and boat.acc) +P(Nanamio)*P(Nanamio and boat.acc) +P(Vanc)*P(Vanc and boat.acc)

= (.15*.25)/(.35*.30+.50*.20+.15*.25) = .155

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.