Given the example below, find the random variable, distribution and computation following the format. 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 randomly selecting 400 residents without replacement, what is the expected number of right handed individuals in the sample? *Option for distribution: Bernoulli Distribution, Binomial Distribution, Geometric Distribution, Negative Binomial Distribution, Hypergeometric Distribution, Poisson Distribution, or Multinomial Distribution -Random variable: -Distribution: -Computation

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Given the example below, find the random variable, distribution and computation following the format.

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 randomly selecting 400 residents without replacement, what is the expected number of right handed individuals in the sample?

*Option for distribution: Bernoulli Distribution, Binomial Distribution, Geometric Distribution, Negative Binomial Distribution, Hypergeometric Distribution, Poisson Distribution, or Multinomial Distribution

-Random variable:
-Distribution:
-Computation

Example: A large number of insects are expected to be attracted to a certain
variety of rose plant. A commercial insecticide is advertised as being 99%
effective. Suppose 200 insects infest a rose garden where the insecticide has
been applied. What is the probability that none of these insects can survive?
Random variable: X – number of dead insects
Distribution: X~Bin(200, 0.99)
a
Computation: P[X = 200] = (200)(0.99)200 (0.01)° = 0.1340
%3D
Transcribed Image Text:Example: A large number of insects are expected to be attracted to a certain variety of rose plant. A commercial insecticide is advertised as being 99% effective. Suppose 200 insects infest a rose garden where the insecticide has been applied. What is the probability that none of these insects can survive? Random variable: X – number of dead insects Distribution: X~Bin(200, 0.99) a Computation: P[X = 200] = (200)(0.99)200 (0.01)° = 0.1340 %3D
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