3. Samples of emissions from three suppliers are classified for conformance to air-qualityspecifications. The results from 100 samples are summarized as follows:ConformsYesNo222585Suppliers3010Let A denote the event that a sample is from supplier 1, and let B denote the event that asample conforms to specifications. If a sample is selected at random, determine the followingprobabilities:а. Р/А)b. P(B)c. P(A')d. P(A N B)e. P(A U B)12 3 1. Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance.The results from 100 disks are summarized below:Shock resistanceHighLowScratchHigh70resistanceLow165Let A denote the event that a disk has high shock resistance, and let B denote the event thata disk has high scratch resistance. Determine the number of disks in:a. A'b. Bc. ANBd. AuB2. The rise time of a reactor is measured in minutes (and fractions of minutes). Let the samplespace for the rise time of each batch be positive, real numbers. Consider the rise times of twobatches. Let A denote the event that the rise time of batch 1 is less than 72.5 minutes, andlet B denote the event that the rise time of batch 2 is greater than 52.5 minutes. Describethe sample space for the rise time of two batches graphically and show each of the followingevents on a two-dimensional plot:а. Аb. B'c. ANBd. AUB

Answered: 1. Disks of polycarbonate plastic from…

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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A cube whose faces are colored is split into 1000 small cubes of equal size. The cubes thus obtained are mixed thoroughly. Find the probability that a cube drawn at random will have two colored faces.
Classify if it's a Discrete or Continuous random variable.a. The area of lots in an exclusive subdivision.b. The number of recovered patients of COVID-19 per province.c. Length of electrical wiresd. Number of pencils in a boxe. Amount of sugar used in a cup of coffeef. Voltage of car batteries
Consider the data on 1000 births. Please leave your answers as unsimplified fractions. Predicted Female Predicted Male Total Actually Female 450 90 540 Actually Male 100 360 460 Total 550 450 1000 a) Find the probability that a baby is actually male. b) Find the probability that the ultrasound predicted the baby would be male. c) Find the probability that a baby is actually male and predicted male. d) Find the probability that a baby is actually male or predicted male. e) Find the probability that a baby is actually male, given that the ultrasound predicted the baby would be male.
• A) Given the data Pulse Rate (beats per minute) Mean St. Dev. Distribution Males 69.6 11.3 Normal Females 74.0 12.5 Normal a. Find the probability that a female has a pulse rate less than 60 beats per minute. b. Find the probability that a male has a pulse rate grater than 80 beats per minute. c. Find the probability that a m ale has a pulse rate between 65 beats per minute and 85 beats per minute. • B) Snow White. Disney World required that women employed as a Snow White character must have a height between 64 in and 67 in o Find the percentage of women meeting the height requirement o If the height requirements are changed to exclude the shortest 40% of women and the tallest 5% of women, what are the new height requirements?
A test was given to a group of students. The grades and gender are summarized below A C. Total Male 15 20 47 Female 18 41 Total 33 25 30 88 If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'C'. Submit Question 10 1213
A test was given to a group of students. The grades and gender are summarized below Total 40 22 62 A с 11 17 5 15 2 Total 17 26 19 Male Female B 12 If one student is chosen at random from those who took the test, Find the probability that the student got a 'C' GIVEN they are female.
Assume an approximate U.S population of 325 million. Number of death due to heart disease and accidents for an American during 2015 is respectively 614,300 and 136,100. A)What is the relative frequency probability of death due to heart disease for an American during 2015? b) How much greater is the risk of death due to heart disease than the risk of death due to accidents? c) Find and compare death rates per person and per 100,000 people for heart disease and accidents.
10. What is the probability of observing less than 3 heads in 4 tosses of a fair coin? A. 0.3125 B. 0.9375 C. 0.2500 D. 0.6875
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A typical fuel tanker can carry up to 40,000 L of fuel and can be loaded in about 20 minutes. The shift supervisor comes to check on one of the tankers, not knowing how much time is left in the fill process. a. What is the probability that there is less than 5,000 L remaining? b. What is the probability that there is between 15,000 L and 25,000 L of fuel remaining? c. What volume of fuel would the shift supervisor expect the tanker to contain? L
Use the following information to answer Question 16 and Question 17. A bag has 4 yellow balls and 6 red balls only. One ball is chosen at random and not replaced. A second ball is then chosen at random. Find the probability that both balls are yellow. A. 2/15 В. 4/25 C. 2/5 D. 11/15 Question 17 Find the probability that both balls have the same colour. А. 2/15 В. 1/6 С. 3/10 Activate D. 7/15 Go to Set
A platter contains 48 doughnuts: 26 cake, 13 glazed, and nine jelly-filled. Suppose two doughnuts are randomly selected in succession without replacement. Find the probability (to 4 decimal places) of selecting two cake doughnuts. A. 0.0691 B. 0.2881 C. 0.2934 D. 0.5417

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