For a certain river, suppose the drought length Y is the number of consecutive time intervals in which the water supply remains below a critical value yo (adeficit), preceded by and followed by periods in which the supply exceeds this critical value (a surplus). An article proposes a geometric distribution withp = 0.361 for this random variable. (Round your answers to three decimal places.)(a) What is the probability that a drought lasts exactly 3 intervals? At most 3 intervals?exactly 3 intervalsat most 3 intervals(b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation?

Answered: For a certain river, suppose the…

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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Diarrhea Vaccine. Acute rotavirus diarrhea is the leading cause of death among children under age 5, killing an estimated 4.5 million annually in developing countries. Scientists from Finland and Belgium claim that a new oral vaccine is 80% effective against rotavirus diarrhea. Assuming that the claim is correct, use the normal approximation to the binomial distribution to find the probability that, out of 1500 cases, the vaccine will be effective in a. exactly 1225 cases. b. at least 1175 cases. c. between 1150 and 1250 cases, inclusive.
TABLE 13-6 -1 0. 13-21. Let X and Y be two random variables each Y taking three values -1, 0 and 1, and having the joint probability -1 1. distribution as given in Table 13-6. 2 Obtain the marginal probability distributions of X and Y and hence their expected values.
For a certain river, suppose the drought length Y is the number of consecutive time intervals in which the water supply remains below a critical value y, (a deficit), preceded by and followed by periods in which the supply exceeds this critical value (a surplus). An article proposes a geometric distribution with p 0.364 for this random variable. (Round your answers to three decimal places.) (a) What is the probability that a drought lasts exactly 3 intervals? At most 3 intervals? exactly 3 intervals at most 3 intervals (b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation?
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4:48 Mid-Statistics Exam First Semester (Sta.. Section 5. Arrivals of customers at a check counter follow a uniform distribution. It is known that, during a given 30- minute period, one customer arrived at the counter. Find the probability that the customer arrived during the last 5 minutes of the 30- minute period? * (2/2 Points) 0.0333 0.2000 0.0500 0.0300 0.1666 v None of the Above Activity Chat Teams Assignments More More Edit
For a certain river, suppose the drought length Y is the number of consecutive time intervals in which the water supply remains below a critical value yo (a deficit), preceded by and followed by periods in which the supply exceeds this critical value (a surplus). An article proposes a geometric distribution with p = 0.365 for this random variable. (Round your answers to three decimal places.) (a) What is the probability that a drought lasts exactly 3 intervals? At most 3 intervals? exactly 3 intervals at most 3 intervals (b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation?
solve the following
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