Ecologists often use the number of reported sightings of a rare species of animal to estimate the remaining population size. Suppose that the number of reported sightings per week of blue whales follows a Poisson distribution with a mean of 3 per week. Find the probability that the time between consecutive sightings is between 1 and 2 weeks. Give your answer to 3 decimal places. Suppose that the amount of hydrocarbon emission for a four cylinder engine can be modeled with a Weibull distribution with a = 2 and 3 = 10. Find the probability that the emissions level is no more than 10 given that it is at least 5. Give your answer to 3 decimal places.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![Ecologists often use the number of reported sightings of a rare species of animal to estimate the
remaining population size. Suppose that the number of reported sightings per week of blue whales
follows a Poisson distribution with a mean of 3 per week. Find the probability that the time between
consecutive sightings is between 1 and 2 weeks. Give your answer to 3 decimal places.
Suppose that the amount of hydrocarbon emission for a four cylinder engine can be modeled with a
Weibull distribution with a = 2 and B = 10. Find the probability that the emissions level is no more
than 10 given that it is at least 5. Give your answer to 3 decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79cc8e53-0294-448b-8faf-6650f9a8c88e%2Fae4a588e-2269-4a7f-93d9-7dd314762396%2Fwx8ttl9_processed.jpeg&w=3840&q=75)
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