2. Suppose in a sample of size 10 articles, the probability that a single article will be nonconforming is 0.1,i.e., p =0.1. Assume that population is infinitei) identify the underlying distribution that describes this problem.ii). What is the probability that a sample of 10 such articles will?a) contain exactly 3 nonconforming itemsb) contain less than 4 nonconforming items.c) contain at least 2 nonconforming items

Givensample size(n)=10The probability that a single article will be nonconforming (p)=0.1

Answered: 2. Suppose in a sample of size 10…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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b. In proof testing of circuit boards, the probability that any particular diode will fail is 0.01. Suppose a circuit board contains 200 diodes. I. How many diodes would you expect to fail, and what is the standard deviation of the number that are expected to fail. II. What is the probability that at least four diodes will fail on a randomly selected board. III. If six boards are shipped to a particular customer, what is the probability that at least four of them will work properly.
5. In a particular country on the African continent, 35% of the population is estimated to have at at least one smart phone. If a small sample of 40 people is selected from the population for a statistical investigation, Use the Binomial distribution to estimate the probability that, the number of people in the sample that have at least one smart phone is; a) at most 15; b) more than 12 but fewer than 18; c) exactly equal to the mean of the distribution
8. The probability distribution of weekly sales of TV sets in a retail depot is given berow : 12 13 14 15 Demand (units) 10 11 0-05 0-10 0.25 0-40 0-15 0-05 Probability The depot earIS a profit of should be stocked ? 700 per set. If it is not sold, the loss is 300 per set. How many sets
5. Suppose that the number of insects caught in a spider's web in one day follows a Poisson distribution with rate = 2.6. For the questions that follow, make sure to define a random variable, state its distribution (including parameters), and translate the question into a probability statement. %3D wg probal b What is the probability that the spider catches at least one insect in 12 hours? PUS 18)
16. For a recent period of 100 years, there were 530 Atlantic hurricanes a) State the distribution, the parameters (for each case) and the support of the distribution. b.) Find the probability that over a period of 2 years there are fewer than 5 hurricanes. c.) Find the probability that over a 5 year period there are 10 hurricanes. d.) Find the probability that at least 2 hurricanes happen in a year.
8) Given the following table with eye color and hair color for a sample of 592 people... Black hair Brown hair Blond hair 16 10 Red hair Total Green eyes Hazel eyes Blue eyes Brown eyes Total 29 14 14 15 54 84 119 20 17 26 94 68 a) What percent of people with brown hair have blue eyes? b) What is the probability someone with green or hazel eyes has red hair? 102 F Par 99+
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?
c) If the probability that a person scores below a particular value is 0.7, then the probability a person scores above that value equals? d) If the probability that a person scores between a particular positive z value and the mean is 0.31, then the probability a person scores above that value equals?
Suppose that a simple random sample is taken from a finite population in which each member is classied as either having or not having a specied attribute. Fill in the following blanks. a. If sampling is with replacement, the probability distribution of the number of members sampled that have the specified attribute is a distribution.b. If sampling is without replacement, the probability distribution of the number of members sampled that have the specified attribute is a distribution.c. If sampling is without replacement and the sample size does not exceed % of the population size, the probability distribution of the number of members sampled that have the specified attribute can be approximated by a distribution.

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