The Poisson mass function is often used in biology to model the number of bacteria in a solution. Suppose a dilute suspension of bacteria is divided into several different test tubes. The number of bacteria \( x \) in a test tube has a Poisson mass function with a parameter \( \lambda \) that represents the mean number of bacterial cells contained in the different test tubes.Express the probability that a particular test tube contains no bacteria, in terms of \( \lambda \).

The probability mass function (PMF) of a Poisson distribution for a random variable X with parameter…

Answered: The Poisson mass function is often used…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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X is a discrete random variable such that the possible values are {a, a+1, a+2, ... b-1, b}. The random variable has a mean of 7 and a variance of 4. What is the Pr(X<=6|X>4)?
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Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 46 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.40 ml/kg for the distribution of blood plasma. (a)Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit__ upper limit__ margin of error__ (b)What conditions are necessary for your calculations? (Select all that apply.) A-the distribution of volumes is normal B-the distribution of volumes is uniform C-? is unknown D-? is known E-n is large (c)Interpret your results in the context of this problem. A-The probability that this interval…
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