2. Hacksaw's Boats of St. Lucia takes tourists on a daily dolphin/whale watch cruise. Its brochure claims an 85% chance of sighting a whale or a dolphin. Suppose there is a 65% of seeing dolphins and a 10% chance of seeing both dolphins and whales (a) Construct a Venn diagram and a corresponding two-way table for the events and give the probability of each part: (b) What is the probability of a whale on the cruise? (c) What is the probability of seeing a whale but not a dolphin?

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2. Hacksaw's Boats of St. Lucia takes tourists on a daily dolphin/whale watch
cruise. Its brochure claims an 85% chance of sighting a whale or a dolphin.
Suppose there is a 65% of seeing dolphins and a 10% chance of seeing both
dolphins and whales
(a) Construct a Venn diagram and a corresponding two-way table for the events
and give the probability of each part:
(b) What is the probability of a whale on the cruise?
(c) What is the probability of seeing a whale but not a dolphin?
(d) What is the probability of seeing a whale, given that you have seen a dol-
phin?
(e) Are "seeing a whale" and "seeing a dolphin" independent events?
3
Transcribed Image Text:3 of 9 2. Hacksaw's Boats of St. Lucia takes tourists on a daily dolphin/whale watch cruise. Its brochure claims an 85% chance of sighting a whale or a dolphin. Suppose there is a 65% of seeing dolphins and a 10% chance of seeing both dolphins and whales (a) Construct a Venn diagram and a corresponding two-way table for the events and give the probability of each part: (b) What is the probability of a whale on the cruise? (c) What is the probability of seeing a whale but not a dolphin? (d) What is the probability of seeing a whale, given that you have seen a dol- phin? (e) Are "seeing a whale" and "seeing a dolphin" independent events? 3
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