1. Some article studied the probability of death due to burn injuries. The identified risk factors inthis study are age greater than 60 years, burn injury in more than 40% of body-surface area, andpresence of inhalation injury. It is estimated that the probability of death is 0.003, 0.03, 0.33, or0.90, if the injured person has zero, one, two, or three risk factors, respectively. Suppose thatthree people are injured in a fire and treated independently. Among these three people, twopeople have one risk factor and one person has three risk factors. Let the random variable Xdenote number of deaths in this fire. Determine the probability mass function of X.

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Answered: 1. Some article studied the probability…

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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The expected relative frequency of a particular outcome is?
Most Australian youth-sports leagues separate athletes by birthdate, and the cutoff date is January 1st. Thus, those children born in January and February have some physical advantages in youth sports over those born in November and December. A recent studysuggests that those physical advantages enjoyed early in life impact the likelihood of a child becoming a professional athlete. The table gives the number of Australian-born 2009 Australian Football League players born in different months of the year, as well as the proportion of births expected if the birthdates of the athletes matched the distribution of all births nationally. Is there evidence that the distribution of birthdates of AFL athletes is not the same as the distribution of birthdates nationally? Birthdates nationally in Australia and for Australian football players Proportion Actual for Months Nationally AFL players Jan-Mar 0.248 196 Apr-June 0.251 162 Jul-Sep 0.254 137…
A study is conducted to estimate the association between exposure to lead paint in childhood and attention-deficit hyperactivity disorder (ADHD). Data on n = 400 children are collected, and data on exposure and ADHD diagnosis are shown in Table 9–26. Estimate the crude or unadjusted relative risk. Estimate the crude or unadjusted odds ratio.
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5.28 Risks and insurance. The idea of insurance is that we all face risks that are unlikely but carry high cost. Think of a fire destroying your home. So we form a group to share the risk: we all pay a small amount, and the insurance policy pays a large amount to those few of us whose homes burn down. An insurance company looks at the records for millions of homeowners and sees that the mean loss from fire in a year is μ = $250 per house and that the standard deviation of the loss is σ = $1000. (The distribution of losses is extremely right-skewed: most people have $0 loss, but a few have large losses.) The company plans to sell fire insurance for $250 plus enough to cover its costs and profit. If the company sells 25,000 policies, what is the approximate probability that the average loss in a year will be greater than $270?
Based on information from Harper's Index, 37 out of a random sample of 100 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of 100 adult Americans who did attend college, 47 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attend college and who believe in extraterrestrials is higher than the proportion who did not attend college? (a) State the hypotheses in plain language. (b) Fill in the table below, then enter this table in the left side of the Rossman-Chance applet. No college College Total Believe in ETs 84 Did not believe in ETs 116 Total 100 100 200 (c) Compute the point estimate for the difference in the proportion believing in extraterrestrials between those not attending college and those attending college. Pne – Pe = (d) Complete at least 1000 simulations in the Rossman-Chance app 2 and report your findings below. (For help with the applet, refer to the e "Using the…
40. We will take a random sample of 30 vehicles of a certain make and model and measure the fuel efficiency in miles per gallon (mpg) of each of them. We will conduct a hypothesis test at the 10% level of significance to determine whether there is evidence that the true mean fuel efficiency of all cars of this make and model differs from 32 mpg. What is the probability of failing to reject H, if the true mean is in fact 32 mpg? (A) 0.10 (B) 0.95 (C) 0.05 (D) 0.90 (E) 0.20
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows Current Year Previous Year Осcupied Rooms 1,470 1,458 Total 1,750 1,800 Rooms (a) Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period. (Let p, population proportion of rooms occupied for current year and P2 = population proportion of rooms occupied for previous year.) Ho: P1-P22 0 H: P1- P2 0 Ho: P1- P2 0 Hai P1 P2 = 0 Ho: P1- P2 = 0 H P1- P2 0 Ho: P1- P2 # 0 Hi P1- P2 = 0 (b) What is the estimated proportion of hotel rooms occupied each year? current previous (c) Calculate the test statistic. (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value Using a 0.05 level of significance, what is your…

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