13. A species of nocturnal mouse forages for food by taking short trips away from its burrow. Ina given night the number of trips it might take is approximated using a Poisson distributionwith a mean of 2.5 trips. For any one foraging session the mouse has a probability of 0.3 offinding food, and a probability of 0.1 of being caught by a predator. Each foraging session isassumed to be independent of the others. (You can leave your answers to the two questionsbelow as a sum.)(a) Determine the PDF associated with the probability it will find food n timesin one night.For part a on question 13 ignore the possibility of being caught by a predator. Just assume it will not becaught and focus on foraging.(b)2Determine the PDF associated with how many nights it will survive until apredator catches it on the nth night assuming each night is independent of the others.²For part b just focus on whether or not it will be caught.write this without a sum.

a) To determine the probability mass function (PMF) associated with the probability that the mouse…

Answered: 13. A species of nocturnal mouse…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1. The number of typing errors on a page follows a Poisson distribution with a mean of 6.3. Find the probability of having exactly six (6) errors on a page. 2. One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow? 3. In a viral pool test it is known that in a group of five (5) people, exactly one (1) will test positive. If they are tested one by one in random order for confirmation, what is the probability that only two (2) tests are needed?
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Historically it has been observed that patients admitted to a certain hospital for treatment of influenza spend a MEAN length of 4.4 days in the hospital. Every flu season, different strains of the flu circulate: Some years the primary strain causes more severe illness (and presumably longer than average hospital stays) and other years less so (meaning presumably shorter than average stays). We assume the hospital stays are NORMALLY distributed. a. A hospital wants to see how this year's flu season compares to previous years. Therefore, state the null and alternate hypotheses that would be used to test whether the hospital is seeing a mean hospital stay that is significantly DIFFERENT than the historical mean of 4.4 days. b. FIFTEEN patients admitted for influenza treatment are then randomly sampled and the length of their hospital stay in days is given below. 4641056443743774 SAMPLE MEAN =? SAMPLE STANDARD DEVIATION =? c. Using the results of part (b), determine what type of test is…
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