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3.6 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 2,000 insects infest a rose garden where the insecticide has been applied, and let X surviving insects. = number of (a) What probability distribution might provide a reasonable model for this experi- ment? (b) Write down, but do not evaluate, an expression for the probability that fewer than 100 insects survive, using the model in part (a). (c) Evaluate an approximation to the probability in part (b).

3.6 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 2,000 insects infest a rose garden where the insecticide has been applied, and let X surviving insects. = number of (a) What probability distribution might provide a reasonable model for this experi- ment? (b) Write down, but do not evaluate, an expression for the probability that fewer than 100 insects survive, using the model in part (a). (c) Evaluate an approximation to the probability in part (b).

Human Anatomy & Physiology (11th Edition)
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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superior? (Hint: Evaluate the probability of observing 85 or more successes assuming that the new and old drugs are equally effective.) 3.6 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 2,000 insects infest a rose garden where the insecticide has been applied, and let X surviving insects. number of (a) What probability distribution might provide a reasonable model for this experi- ment? (b) Write down, but do not evaluate, an expression for the probability that fewer than 100 insects survive, using the model in part (a). (c) Evaluate an approximation to the probability in part (b). 3.7 Let the number of chocolate chips in a certain type of cookie have a Poisson distribu- tion. We want the probability that a randomly chosen cookie has at least two chocolate chips to be greater than .99. Find the smallest value of the mean of the distribution that ensures this probahility
Transcribed Image Text:superior? (Hint: Evaluate the probability of observing 85 or more successes assuming that the new and old drugs are equally effective.) 3.6 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 2,000 insects infest a rose garden where the insecticide has been applied, and let X surviving insects. number of (a) What probability distribution might provide a reasonable model for this experi- ment? (b) Write down, but do not evaluate, an expression for the probability that fewer than 100 insects survive, using the model in part (a). (c) Evaluate an approximation to the probability in part (b). 3.7 Let the number of chocolate chips in a certain type of cookie have a Poisson distribu- tion. We want the probability that a randomly chosen cookie has at least two chocolate chips to be greater than .99. Find the smallest value of the mean of the distribution that ensures this probahility
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