i. Suppose in a district grade 1 through grade 5, 60 percent of the population favor a particular school. A simple random sample of 350 is surveyed. a. What is the probability that at least 140 favor the school? b. What is the probability that at most 170 favor the school? c. What is the probability that more than 160 favor the school? d. What is the probability that fewer than 145 favor the school? e. What is the probability that exactly 180 favor the school? ii. The annual number of earthquakes registering at least 2.5 on the Richter Scale and having an epicenter within 40 miles of downtown Memphis follows a Poisson distribution with mean 6.5. a. What is the probability that at least 9 such earthquakes will strike next year? b. What is the probability that at least 25 such earthquakes will strike during the next 5 years?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 5CC: a What is meant by an experiment? Sample space? b What is an event? c Define the probability of an...
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i. Suppose in a district grade 1 through grade 5, 60 percent of the population favor a particular school. A simple random sample of 350 is surveyed.
a. What is the probability that at least 140 favor the school?
b. What is the probability that at most 170 favor the school?
c. What is the probability that more than 160 favor the school?
d. What is the probability that fewer than 145 favor the school?
e. What is the probability that exactly 180 favor the school?
ii. The annual number of earthquakes registering at least 2.5 on the Richter Scale and having an epicenter within 40 miles of downtown Memphis follows a Poisson distribution with mean 6.5.
a. What is the probability that at least 9 such earthquakes will strike next year?
b. What is the probability that at least 25 such earthquakes will strike during the next 5 years?

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