1. Refer to a 2008 report that states that 35% of US householdshave at least one high-definition television. Use theapproximation to the binomial distribution to calculate theprobability that exactly 3 of 16 randomly selected householdswill have at least one high-definition television

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Answered: 1. Refer to a 2008 report that states…

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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2
construct a binomial distribution graph for the number of defective computer chips in a lot of 3 if p=0.3
The number of students who fail per semester is often modeled as a Poisson random variable. Assume that on the average there are 5 students who fail per sem. a. What is the probability that there are exactly 5 students who fail in 1 sem? b. What is the probability that there are exactly 2 students in one academic year? c. What is the probability that there are at least 2 students who fail in one sem?
Please show the full solution and proper notation and terminology. 3. A data firm records a large amount of data. Historically, 2% of the pages of data recorded by the firm contain errors. A sample of 300 pages is randomly selected. What is the probability that a. What is the probability that fewer than 5 pages contain errors? b. What is the probability that none of the pages contain errors? c. This binomial distribution can be approximated using Poisson if n>20 and np7. If this condition is true, the for Poisson distribution is equal to the mean for the binomial. Evaluate (a) using Poisson approximation if applicable. thanks.
2. If electricity power failures occur according to a Poisson distribution with an average of 5 failures every 20 weeks, calculate the probability that there will not be more than one failure during a particular week.
Suppose annual expenditures on the UCI branded clothing and accessories per student are uniformly distributed between $60 and $70. A What is the probability that a student will spend more than $67? B. What is the probability that a student will spend less than or equal to $62? C. What is the probability that a student will spend between $64 and $68? D. What is the probability that a student will spend between $68 and $75? E Determine the expected spending on UCI branded clothing and accessories per student. F. Determine the standard deviation of the expenditures on UCI branded clothing and accessories per student.
1. The distributional pattern of pulmonate slugs inhabiting Libya was studied in the AIUB Journal of Science and Engineering (Aug. 2003). The number of slugs of a certain species found in the survey area was modeled using the negative binomial distribution. Assume that the probability of observing a slug of a certain species (say, Milax rusticus) in the survey area is 0.2. Let Y represent the number of slugs that must be collected in order to obtain a sample of 10 Milax rusticus slugs. a. Give the probability distribution for Y as a formula. b. What is the expected value of Y? Interpret this value.c. Find P(Y = 25).
2. Give the probability generating function for an offspring distribution in which an individual either dies, with probability 1- p, or gives birth to three children, with probability p, Also find the mean and variance of the number of children in the fourth generation.
6.74 Landlines According to the Centers of Disease Controland Prevention, 44% of U.S. households still had landline phoneservice. Suppose a random sample of 60 U.S. households is taken.a. Find the probability that exactly 25 of the households sampled stillhave a landline.b. Find the probability that more than 25 households still have a landline.c. Find the probability that at least 25 households still have a landline.d. Find the probability that between 20 and 25 households still have alandline.
1. Consider flipping a Standard US Quarter. This is an Unfair coin such that P(Tails) = 0.513 according to the best models. If you flip US Quarter 8 times you can model the number of Tails flipped as a Binomial distribution of B(8, 0.513) A. Explain why the number of Tails flipped can be modeled by this Binomial Distribution B(8, 0.513) B. What is the Expected number of Tails flipped C. What is the Expected number of Heads flipped
A recent study showed that 71% of adults need some type of corrective lens (glasses or contacts). A. If I grab a 6 random people what is the probability that fewer than 4 need corrective lenses? B. If I take a random sample of 2000 people what is the mean and standard deviation of the number of people who need corrective lens? C. Use the normal approximation to the binomial to find the probability that I get 1375 or fewer people who need corrective lenses out of a random sample of 2000. Illustrate what you are finding on a sketch of the normal curve and show your work.

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1. Refer to a 2008 report that states that 35% of US households have at least one high-definition television. Use the approximation to the binomial distribution to calculate the probability that exactly 3 of 16 randomly selected households will have at least one high-definition television