Question *Two factories supply light bulbs to the market. Bulbs from factoryX work for over 5000 hours in 99% of cases, whereas bulbs fromfactory Y work for over 5000 hours in 95% of cases. It is known thatfactory X supplies 60% of the total bulbs available in the market.The probability that a chosen bulb work for over 5000 hours is:O None of these0.8580.9740.354Question *

Obtain the probability that a chosen bulb work for over 5000 hours. The probability that a chosen…

Answered: Two factories supply light bulbs to the…

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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Suppose a math class contains 33 students. There are 23 females (five of whom speak Spanish) and 10 males (two of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male?
An Insurance Company found that only 0.01% of the population is involved in a certain type of accident each year. If its 1000 policyholders were randomly selected from the population what is the probability that knows more than 2 of its clients are involved in such accidents next year.
The Internal Revenue Service estimates that 8% of all taxpayers filling out long forms make mistakes.IRS Employee A randomly selects and checks 10 forms for mistakes. let x=the number of forms out of 10 that have a mistake. What is the probability that exactly one has an error?
In a 2018 study, it was determined that 14% of Americans smoke. In a separate study, it was determined 9% of smokers die of lung cancer, and 1% of non-smokers die of lung cancer. Assuming these values hold true today, find the following: a. What is the probability that a randomly selected person is a smoker and died of lung cancer? b. What is the probability that a randomly selected person dies of lung cancer? c. What is the probability that a randomly selected person is a smoker or died of lung cancer?
Assume that there is a 4% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. If copies of all your computer data are stored on three independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? a. With two hard disk drives, the probability that catastrophe can be avoided is (Round to four decimal places as needed.) b. With three hard disk drives, the probability that catastrophe can be avoided is (Round to six decimal places as needed.)
(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…
Suppose a math class contains 41 students. There are 18 females (three of whom speak Spanish) and 23 males (six of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?
If the Jiffy Oil service rate for changing the oil in passenger cars is seven cars per hour. What is the probability that in the next hour, more than four car will need their oil changed? 0.8331 0.1669 0.8522 0.2946
A survey showed that 80% of adults need correction (eyeglasses, contacts, surgery, etc) for their eyesight. If 19 adults are randomly selected find the probability that no more than 1 of them need correction for their eyesight. Is 1 significantly low number of adults requiring eyesight correction. a. The probability that no more than 1 of the 19 adults require eyesight correction is b. Is 1 significantly low number of adults requiring eyesight correction: Note that a small probability is one that is less than 0.05.
A survey showed that 50% of customers like Toyota cars, 40% customers like Nissan cars, and 70% like at least one brand of cars Toyota or Nissan. Then the probability that a randomly selected customer will like both Toyota and Nissan car is O a 0.90 Ob 0.70 Oc 0.30 Od. 020
It has been observed that the average number of accidents that occur on an assembly line is 3 per week. Find the probability that: i. A particular week will be accident free. ii. At least three (3) accidents will occur in a week. iii. Exactly five (5) accidents will occur in two week
A certain typing agency employs two typists. The average number of errors per article is 1.21.2 when typed by the first typist and 55 when typed by the second. If your article is equally likely to be typed by either typist, find the probability that it will have no errors.

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