Environment-friendly agricultural practice includes the application of pesticides when it is really necessary, e.g., at the beginning of a pest emergence. Such practice, depending on the field conditions, and the reaction of growers, for the same level of “alert”, inspired this question. Assume that in the middle of the growing season in a given area, there is one pest emergence every two weeks on average. a) What is the probability that there is more than one pest emergence in two weeks? b) What is the probability that two pest emergences occur in the course of two consecutive weeks if you know that there has been no pest emergence in the first of the two weeks?

Environment-friendly agricultural practice includes the application of pesticides when it is really necessary, e.g., at the beginning of a pest emergence. Such practice, depending on the field conditions, and the reaction of growers, for the same level of “alert”, inspired this question. Assume that in the middle of the growing season in a given area, there is one pest emergence every two weeks on average. a) What is the probability that there is more than one pest emergence in two weeks? b) What is the probability that two pest emergences occur in the course of two consecutive weeks if you know that there has been no pest emergence in the first of the two weeks?

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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Invoice totals for insurance are determined by actuaries who study the likelihood of the company paying a claim on a particular policy. So why do different insurance companies charge different amounts for the same coverage? The policy total is determined by the population of former and current policy holders for each company. A different pool of policy holders produces different results. However, the commonalities are often similar. The law of large numbers gives an insurance company a fairly reliable indication of what each insurance policy will cost the company, on average. Some policy holders will go for years without making a claim. Other policy holders will cut into the bottom line profit with costly claims which are not always recouped as policy holders sometimes change insurance providers. After natural disasters, a large volume of claims are filed which also must be planned for when setting policy rates. Although natural disasters and large claims are not typically common, the…
23. Composite Drug Test Based on the data in Table 4-1 on page 146, assume that the probability of a randomly selected person testing positive for drug use is 0.126. If drug screening samples are collected from 5 random subjects and combined, find the probability that the combined sample will reveal a positive result. Is that probability low enough so that further testing of the individual samples is rarely necessary?
o. In a certain region of the country it is known From past experience that the probability of sele Cting an adult over 40 years of age with cancer is 0:05. If the probability of a doctor correctly diagnosing a person with cancer as having the di sease is 0-18 and the probability of incorrectly diagrosing a person without cancer as having the disease is 0.00 a. What is the probability that an adult over 40 yearı of age is diagnos ed as having Cancer ? b. what is the prooability that a person diagnosed as having cancer actually has the disease?
Part 1 of 6 Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of light bulbs that burn out in the next year in a room with 13 bulbs b. The hair color of adults in the United States c. The number of pigeons in a country d. The time it takes for a light bulb to burn out e. The number of free-throw attempts before the first shot is missed f. The number of people in a restaurant that has a capacity of 150 ..... a. Is the number of light bulbs that burn out in the next year in a room with 13 bulbs a discrete random variable, continuous random variable, or not a O A. It is a discrete random variable. O B. It is a continuous random variable. O C. It is not a random variable.
6. A smoke detector system uses two devices, an ionization sensor and a photoelectric sensor. If smoke is present, the probability that it will be detected by the ionization sensor (I) is 0.90, by the photoelectric sensor (P), 0.80, and by both devices, 0.72. a) Draw a Venn diagram to represent the problem. b) If smoke is present, determine the probability that the smoke will be detected by the system. c) if smoke is present, determine the probability that the smoke is undetected. d) are the two alarms operating independently. Justify your answer with a calculation.
According to a certain organization, approximately 26% of adults in the United States live with a disability. This includes disabilities affecting mobility, cognition, vision, hearing, and others. Suppose that we select a random sample of five US adults, and let x = the number of adults out of five that live with a disability. The methods of Section 5.2 can be used to compute the probability assignments for the x distribution. x 0 1 2 3 4 5 P(x) 0.222 0.390 0.274 0.096 0.017 0.001 (d) Compute ?, the expected number of adults living with a disability out of five. (Round your answer to two decimal places.) ? = adults (e) Compute ?, the standard deviation of the number of adults living with a disability out of five. (Round your answer to two decimal places.) ? = adults
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A system consists of four components connected as shown below in the following diagram.Assume ?, ?, ?, and ? function independently. If the probability that ?,?, ?, and ? fail are 0.10, 0.05, 0.10, and 0.20 respectively. What is the probability that the system functions?b) A process manufactures ball bearing whose diameters are normally distributed with mean 2.505?? and standard deviation 0.008??. Specifications call for the diameter to be in the interval 2.5 ± 0.01 cm. what proportion of the ball bearings will meet the specification
Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results are summarized as follows: Conforms to air-quality YES NO A 29 13 Supplier B 24 10 31 7 What is the probability of an emission conforms to air-quality and Supplied from B?