75. In an examination 30% students have failed in mathematics, 20% of thestudents have failed in chemistry and 10% have failed in both mathematics and chemistry.A student is selected at random. What is the probability that () the student has failed inmathematics if it is known that he has failed in chemistry.(i) What is the probability that the student has failed either in mathematics or chemistry?

Answered: 75. In an examination 30% students have…

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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6. A survey by Altgeld Travel Magazine found that 85% of airline passengers prefer to sleep during their flights. Ifwe randomly select 9 passengers, what is the probability that…. (a) Exactly 8 passengers prefer to sleep during their flights? (b) 8 or more passengers prefer to sleep during their flights?
There are 25 marbles in an urn: 12 are green and 13 are yellow. You reach into the urn and randomly select 4 marbles without replacement. What is the probability that at least one of the marbles is green? A. 0.0565 B. 0.9269 C. 0.2713 D. 0.1200 E. 0.9435
(TATTOOS MAY LOOK UGLY IN OLD AGE) Among 250 employees of a Tattoo Company, a total of 130 have tattoos. There are 150 males working for this company and 85 of the males have Tattoos while uwmit tattoos. Tattoo Artist v What is the probability that an employee selected at random: Is A. 0.78 a female? B. 0.6000 v What is the probability that an employee selected at random: c. 0.26 has a tattoo? D. 0.18 v What is the probability that an employee selected at random: Is a female and has a tattoo? v What is the probability that an employee selected at random: Is E. 0.4800 F. 0.40 a male and does not have tattoo? G. 0.66 v What is the probability that an employee selected at random: Is male or has a tattoo? v What is the probability that an employee selected at random: 1. 0.2200 Is a female or does not have a tattoo? v Assume we selected a female of the company, what is the conditional probability she has no tattoo? H. 0.52 I. 0.55 K. 0.5667 Assume we selected a male from the company, what…
In the teachers’ room 60% are women; one in three women wears glasses andone in two men wears glasses:- what is the probability that a random eyeglass wearer is a woman?
Fuego Ironworks has an inspection system for the batches of Chroma purchased from vendors. A batch typically consists of 15 Chromas. In the inspection system, a random sample of 5 is selected and tested. If there are 2 defective Chromas in the batch of 15, what is the probability that: a. there will be 1 defective chroma b. both defective chroma are detected
11 Assume that the critic finds that 30 percent of the movies have positive comments about the plot, 55 percent have positive comments about the acting, and 35 percent were not given positive comments about either plot or acting. What is the probability that a randomly selected movie was given positive comments about both plot and acting?
29% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
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: The probability that a mountain-bike rider travelling along a certain track will have a tyre burst is 0.05. Find the probability that among 17 riders: (a) exactly one has a burst tyre (b) at most three have a burst tyre (c) two or more have burst tyres.
According to an airline, flights on a certain route are on time 75% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded. N=25 P=0.75 (c) Find and interpret the probability that exactly 14 flights are on time. (d) Find and interpret the probability that fewer than 14 flights are on time. (e) Find and interpret the probability that at least 14 flights are on time. (f) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time. (c) The probability that exactly 14 flights are on time is ____? (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected that about ____ will result in exactly 14 flights being on time. (Round to nearest whole number as needed) (d) The probability that fewer than 14 flights are on time is ____? (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected…
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75. In an examination 30% of the students have failed in Mathematics, 20% of the students have failed in Chemistry and 10% have failed in both Mathematics and Chemistry. A student is selected at random. (i) What is the probability that the student has failed in Mathematics when it is known that he has failed in Chemistry ? (ii) What is the probability that the student has failed either in Mathematics or in Chemistry ?

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