15. All the fourth-graders in a certain elementary school took a standardized test. A total of85% of the students were found to be proficient in reading, 78% were found to be proficientin mathematics, and 65% were found to be proficient in both reading and mathematics. Astudent is chosen at random.What is the probability that the student is proficient in mathematics but not in reading?What is the probability that the student is proficient in reading but not in mathematics?What is the probability that the student is proficient in neither reading normathematics?а.b.С.

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Answered: 15. All the fourth-graders in a certain…

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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In a certain town, 62% of the residents enjoy riding roller coasters. Alfred takes a sample of 75 residents from this town. What is the probability that fewer than 58% of the residents in the sample enjoy riding roller coasters? 0.238 0.433 0.714 0.762
WINDO In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household.) Among the respondents, 208 answered "none," 285 said "one," 361 said "two," 140 said "three," and 56 responded with four or more. A survey respondent is selected at random. Find the probability that his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in use? Consider an event to be unlikely if its probability is less than or equal to 0.05. P(four or more cell phones) = (Round to three decimal places as needed.) M
A manufacturer of aluminum sheets, finds that on the average, 12.5% of his sheets are rejected because they are either oversize or undersize. What is the probability that a batch of 10 sheets will contains? a. 3 to 4 rejected sheets. b. At least 2 rejected sheet.
You pick three letters at random (without replacement) from the word ASSESSMENT.What is the probability that all three letters are different?
Airlines report that 45% of its flights are on time. In a random sample of 80 flights, what is the probability that exactly 42 will be on time?
3 An animal shelter has a 61% adoption rate for puppies. Of all puppies in the shelter, 77% live to be 7 years or older. Of the puppies who are adopted, 85% live to be 7 years or older. What is the probability that a randomly selected puppy in the shelter will get adopted and livé 7 or more years?
Approximately 20% of U.S. workers are afraid that they will never be able to retire. Suppose 10 workers are randomly selected. a. What is the probability that none of the workers is afraid that they will never be able to retire?
The mayor conducted a survey of 1000 residents, where 486 are in favor of proposal 1, 372 in favor of proposal 2, and 134 in favor of both proposal 1 and 2. What's the probability that a resident isn't in favor of either proposal 1 or 2?
Sixty percent of clowns aren’t funny. If you randomly encounter three different clowns, what is the probability that none of them are funny?
Question: A survey is conducted among 70 people. Details about if theyhave diabetes and their family history of diabetes are collected. 48 people reported that they have a family history of diabetes. 32 of them reported to have diabetes among which 23 of them had a family history of diabetes. Construct a contingency table with this information. What is the probability that an individual has diabetes given that the individual had a family history of diabetes?
Of the inhabitants of a certain native village in Africa, 80% are known to have a particular eye disorder. On a day, there are 12 people waiting to consult a doctor at the clinic. A. What is the probability that exactly 8 of them have the eye disorder? (2m) B. What is the most likely number of them to have the eye disorder?
75% of students in a university have the habit of using a library. What is the probability that at least 130 of the 200 randomly selected students at this university and at most 132 of them have the habit of using the library?

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