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People with type O-negative blood are referred to as universal donors, although

ID: 3053357 • Letter: P

Question

People with type O-negative blood are referred to as universal donors, although if you give type O-negative blood to any patient you run the risk of a transtusion reaction due to certain antibod es present in the blood. However, any patient can receive a transtusion or o-negative red Dood cens. Only 5.5% of the American pooulation have O-negative blood. If 10 people aoear at random to give blood, what is the probability that at least one of them is a universal donor? (use 4 decimal places.) population have o-negative blood. Ir 10 people ar at random to give blood, what is the probability -/3 points MBascStat7 13.?.030. My Notes Ask Your Teacher A boat charter of St. Lucia takes tourists on a daily dolphin/whale watch cruise. Its brochure daims an 81% chance of sighting a whale or a dolphin, and you can assume that sightings from day to day are independent. (a) If you take the dolphin/whale watch cruise on two consecutive days, what is the probability that you see a whale or a dolphin on bath days? (Enter your answer to four decimal places) b) If you take ?e dolphin whale watch cruise on two consecutive days, what is the probability that you see a dolphin or a whale on at least one day? Hint: First compute the probability that this event does not occur. Enter your answer to four decimal places.) the probability (c) If you want to have a 99% probability of seeing a whale or a dolphin at least once, what is the minimum number of days that you wil need to take the cruise? (Round your answer up to the next day.) days

Explanation / Answer

1)

P(at least one is a universal donor) =1-P(none is universal donor) =1-(1-0.055)10 =0.4320

2)a)Whale or dolphin on both days =0.81*0.81=0.6561

b)at least one day =1-P(on none of 2 day)=1-(0.19)2 =0.9639

c)P(at least once) =1-P(on none of n days) =1-(0.19)n =0.99

(0.19)n =0.01

solving above by taking log and solving:

n =3 days

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