Amazon packages are delivered either by Amazon's own delivery service, United Parcel Service (UPS), or the US. Postal Service. Amazon has been steadily growing its logistics operation over the last decade, and it now ships 67% of its own packages directly to customers using its own delivery service. UPS delivers 28% of Amazon's packages, and the US. Postal Service delivers 5% of Amazon's packages. Amazon package deliveries are categorized as either on time or late. 6% of packages delivered by Amazon's own delivery service are late, 3% of Amazon's packages delivered by UPS are late, and 10% of Amazon's packages delivered by the US. Postal Service are late. This exam question is protected by c0pyright and may not be reproduced, distributed, or displayed. Ail Rights Reserved _|_J_ggestion: Use a probability tree. Round answers to four decimal places. a. What is the probability that a randomly selected Amazon package will be delivered late? Probability = E b. What is the probability that a randomly selected Amazon package will be delivered by the US. Postal Service and will be on time? Probability = E c. If a randomly selected Amazon package was delivered late, what is the probability that it was delivered by Amazon's own delivery service? Probability = :l