An actuary is studying the prevalence of three health risk factors, denoted by A, B, and C, within a population of women. For each ofthe three factors, the probability is 0.1 that a woman in the population has only this risk factor (and no others). For any two of thethree factors, the probability is 0.12 that she has exactly these two risk factors (but not the other). The probability that a woman hasall three risk factors, given that she has A and B, is 1/3 .What is the probability that a woman has none of the three risk factors, given that she does not have risk factor A?A) 0.280B) 0.311C) 0.467D) 0.484E) 0.700

We want to find the probability that a woman has none of the three risk factors (denoted as ~A)…

Answered: An actuary is studying the prevalence…

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 admissions office of a private university released the following data for the preceding academic year: From a pool of 4200 male applicants, 30% were accepted by the university, and 30% of these subsequently enrolled. Additionally, from a pool of 3300 female applicants, 35% were accepted by the university, and 30% of these subsequently enrolled. What is the probability of each of the following? (a) A male applicant will be accepted by and subsequently will enroll in the university? (b) A student who applies for admissions will be accepted by the university? (c) A student who applies for admission will be accepted by the university and subsequently will enroll?
There are three modes of transporting material from Boston to Houston: by land (either by highway or railway), seaor air. Half of the materials are transported by land20% by sea, and the rest by air. Also, 60% of all land transportation is by highway and the rest is by rail shipments.Cargo traveling by each mode of transportation has a different probability of being damaged during shipment. The percentages of damaged cargo are as follows: 12% by highway, 3% by rail, 5% by seaand 2% by airIf a damaged cargo is received, what is the probability that it was shipped by sea?
Suppose that 75% of science students, 45% of business students, and 45% of humanities students pass a mathematics course. If 15% of the students in the course are science students, 15% are business students and 70% are humanities students, then the probability that a randomly selected student who has passed the course is a science student is O a. 0.429 O b. 0.214 O c. 0.525 d. 0.357 O e. 0.643
The blood-typing system is based on the presence or absence of antigens. A person with antigen A has blood type A. A person with antigen B has blood type B, and a person with both antigens has the blood type AB. If there are no antigens, then the blood type is O. In addition, blood types are also identified as Rh-positive or Rh-negative based on a different antigen. What is the probability that a person has the A antigen or is Rh-positive?
A survey of athletes at a high school is conducted, and the following facts are discovered: 64% of the athletes are football players, 25% are basketball players, and 6% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that they are either a football player or a basketball player? Enter your answer as a percentage. %
A survey of athletes at a high school is conducted, and the following facts are discovered: 50% of the athletes are football players, 47% are basketball players, and 40% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that they are either a football player or a basketball player?Enter your answer as a percentage. %
A survey of athletes at a high school is conducted, and the following facts are discovered: 24% of the athletes are football players, 16% are basketball players, and 9% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player?
In a marketing research survey, people are interviewed about product usage. One of the questions is about the brand of toothpaste used. If it is known that 14% of the population use brand A and 9% use brand B, what is the probability that a randomly chosen person will be a user of one of the two brands? (Assume that only one brand is used at a given time).
Suppose that the proportions of blood phenotypes in a particular population are as follows: O A B AB 0.47 0.06 0.02 0.45 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)
From experience, a wheat farmer living in Manitoba, Canada finds that his annual profit (in Canadian dollars) is $80,000 if the summer weather is typical, $50,000 if the weather is unusually dry, and $20,000 if there is a severe storm that destroys much of his crop. Weather bureau records indicate that the probability is 0.70 of typical weather, 0.20 of unusually dry weather, and 0.10 of a severe storm. Let X denote the farmer's profit next year (a) Construct a table with the probability distribution of X. (b) What is the probability that the profit is $50,000 or less? (c) Find the mean of the probability distribution of X. Interpret. (d) Suppose the farmer buys insurance for $3000 that pays him $20,000 in the event of a severe storm that destroys much of the crop and pays nothing otherwise. Find the probability distribution of his profit. Find the mean and summarize the effect of buying this insurance.
A survey of athletes at a high school is conducted, and the following facts are discovered: 32% of the athletes are football players, 28% are basketball players, and 10% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player?
A cell phone company collects the following data for a month on their customers:The company plans to build a cell phone tower at any one of the areas. It is based on the probability of a customer available in a particular area in the month.Which area will they choose to build the tower?

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