For each item, define the random variable and its distribution. Compute for the variable or measure asked for. Show your solution and round off your final answers to four decimal places. 1. The number of bacteria in a 1 mL solution follows a Poisson distribution with mean equal to 4.5. What is the chance of observing at least 5 bacteria in a 0.5 mL solution? Random Variable: Distribution: Computation: 2. Albinos are unable to produce melanin. Animals with albinism look white or bleached. Some researchers believe that for a particular species of bird, true albinos occur in about 1 in 500 births. A bird spotter wants to see an albino bird of that species. What is the probability that the 25th bird (of the same species) that he sees will be the first albino? Random Variable: Distribution: Computation: 3. An Island has a population of 1000. The residents are composed of 85% right-handed, 14% left-handed, and 1% ambidextrous individuals. If a researcher is going to randomly select 400 residents without replacement, what is the expected number of right-handed individuals in the sample? Random Variable: Distribution: Computation:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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For each item, define the random variable and its distribution. Compute for the variable or measure asked for. Show your solution and round off your final answers to four decimal places. 1. The number of bacteria in a 1 mL solution follows a Poisson distribution with mean equal to 4.5. What is the chance of observing at least 5 bacteria in a 0.5 mL solution? Random Variable: Distribution: Computation: 2. Albinos are unable to produce melanin. Animals with albinism look white or bleached. Some researchers believe that for a particular species of bird, true albinos occur in about 1 in 500 births. A bird spotter wants to see an albino bird of that species. What is the probability that the 25th bird (of the same species) that he sees will be the first albino? Random Variable: Distribution: Computation: 3. An Island has a population of 1000. The residents are composed of 85% right-handed, 14% left-handed, and 1% ambidextrous individuals. If a researcher is going to randomly select 400 residents without replacement, what is the expected number of right-handed individuals in the sample? Random Variable: Distribution: Computation:
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