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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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LINEAR ALGEBRA III
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Prove the conjecture made in the previous exercise.
Let X1, X2, ... , Xn be a random sample from N(μ, σ2). Find the Moment Generating Function of X̅. If n = 16 and σ = 2, compute P(-1 ≤ X̅ - μ ≤ 1).
A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 28% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below.
You may use homogenous, exact/inexact, linear, Bernoulli, or second order reducible to first order
Tweet, a quality control engineer of a large computer firm, inspects a large shipment of printed circuit boards (PCBs). The shipment of 1000 PCBs were inspected for defects, such as misplaced components or the application of too much solder paste. Tweet found that 750 of the PCBs have no defects, 100 have one defect each, 75 have two defects each, 50 have three defects each, and the rest have 5 defects each. Let X be the number of defects found in a PCB. What is P(X =2)? Group of answer choices
A company sells candy in jars that each have a volume of 3 cups. Each jar is filled above a certain line, guaranteeing that it has more than 3/8 cups of candy. In which of the following does the shaded region represent the possible volumes of candy, c, in cups, a customer may have, given that they bought j jars of candy?
A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d below
A research center claims that at least 23% of adults in a certain country think that their taxes will be audited. In a random sample of 1000 adults in that country in a recent year, 19% say they are concerned that their taxes will be audited. At α=0.05, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha.
Exercise 3: In a garden center: 25% of the plants are less than a year old, 60% are 1 to 2 years old, 25% have yellow flowers, 60% have pink flowers, 15% have yellow flowers and less than a year old , 3% are more than 2 years old and have neither yellow nor pink flowers. 15% of those who are 1 to 2 years old have yellow flowers, 15% of those 1-2 years old have neither yellow nor pink flowers. It is assumed that the flowers cannot be both yellow and pink at the same time. We choose a plant at random in this garden center. What is the probability that it is less than a year old and has pink flowers? What is the probability that she has pink flowers, given that she is over 2 years old? What is the probability that it is over two years old and has yellow flowers?
In rolling a fair die once, what is theprobability of rolling a 2 or an oddnumber? show solution
INTRUSN DEPTTIME 1 18.3 0 21.82 0 20.43 0 26.38 0 21.32 1 27.52 1 12.79 0 24.84 0 26.49 1 32.16 0 30.1 0 40.42 0 35.25 0 18.9 0 43.14 0 19.57 0 25.41 0 16.07 1 42.98 0 14.13 0 25.46 0 37.22 0 22.72 1 22.93 1 34.38 0 22.91 0 46.73 0 26.69 0 20.77 1 33.99 1 50.55 1 30.6 0 39.91 0 24.72 0 69.68 0 25.3 0 14.09 1 24.01 0 36.65 0 22.08 1 56.06 0 51.35 0 69.29 0 40.51 0 38.91 1 24.01 1 32.59 0 34.94 0 36.68 1 38.33 1 31.82 0 37.03 0 40.42 0 33.24 0 55.71 0 36.74 0 41.57 0 15.88 0 25.15 1 25.81 1 56.54 1 57.97 1 44.94 1 20.45 0 37.52 0 18.82 0 29.06 0 32.21 0 31.14 1 36.96 1 34.59 1 26.12 1 20.5 1 41.24 0 28.33 0 35.33 0 45.24 0 39.88 0 20.05 0 32.46 0 29.17 0 30.98 0 26.84 1 31.94 1 33.32 1 28.94 1 62.27 1 40.12 0 31.1 0 24.11 0 35.4 0 39.41 0 29.06 0 55.37 0 49.54 0 16.93 1 41.36 1 61.24 1 39.48…
Let Z1,...,Zn be a sequence of random variables. For every n = 1, 2;..., P(Zn =n^2) = 1/n, and P(Zn = 0) = 1 - 1/n. In other words, Zn is binary. Show that(a) limit as n goes to infinity E(Zn)= infinity

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