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1. You have torn a tendon and are facing surgery to repair it. The surgeon expla

ID: 3053361 • Letter: 1

Question

1. You have torn a tendon and are facing surgery to repair it. The surgeon explains the risks to you: infection occurs in 7% of such operations, the repair fails in 12%, and both infection and failure occur together in 1%. What percent of these operations succeed and are free from infection?
=_______%

A charter boat company of St Lucia takes tourists on a daily dolphin Make a Venn diagram. Then answer these questions hale wate cruise. Their brochure claims an 85% chance of sighting a whale or a dolphin. Suppose there is 70% chance of seeing dolphins and a 13% chance of see ng both dolphins and whales (a) wnat is the probability of seeing a whale on the cruise? (Enter your answer to two decimal places.) (b) what is the probability of seeing a whale but not a dolphin? (Enter your answer to two decimal places.)

Explanation / Answer

1)percent of these operations succeed and are free from infection =100-P(at least failure or infection)

=100-(7+12-1)=82%

2)

a)P(seeing a whale) =P(dolphin or whale)+P(dolphin and whale)-P(dolphin)=0.85+0.13-0.70=0.28

b)P(whale but not dolphin)=P(whale)-P(dolphin and whale) =0.28-0.13 =0.15