Q3)Two factories manufacture electric bulbs 7% of the bulbs from factory Aand 10% from factory B are defective .Factory B produce three times as manybulbs as factory A each weak .A bulbs is chosen at random from a week'sproduction .1.What is the probability that the bulbs is accepted ?2. if the bulbs is defective ,what is the probability that it came from factory A?

Probability is the chances of occurrence of an event and its value lies between 0 and 1. The…

Answered: Q3)Two factories manufacture electric…

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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7. I am producing 400-gram loaf breads in one of my production lines and measured the weights of 28 loaf breads from the same batch as shown in table below. (*see attached image for the table.)J. What is the probability of selecting an underweight loaf first, a 400-g loaf net, and an overweight loaf last? K. What is the probability that I get an exact weight or overweight bread?
3
1.A family wishes to adopt 4 pets from a total of 13 dogs and 7 cats available at an animal shelter. The variable "x" being measured is the number of dogs. Show the probability distribution table, using 3 columns: one for x, one for P(x), and one for x*P(x). The second column should show calculations using C(Dt). 2. A student forum at a high school needs to elect 5 people from 10 Grade 11 students and 15 Grade 12 students who are available. The variable"" being measured is the number of Grade 12 students. Show the probability distribution table, using 3 columns: one for x, one for P(x), and one for x*P(x). The second column should show calculations involving C(Dt).
1. Twelve electric bulbs are drawn independently every hour from a production line at a factory. The number of defective bulbs are random and independent. Suppose that the probability that a bulb is defective is 0.06. a. What is the probability that less than two bulbs are defective? b. What is the probability that three bulbs tested are the second defective bulbs detected?
Does the compound event consist of two mutually exclusive events? Two dice are rolled. The sum of the dice is a 2 or a 9. Yes No Compute the probability of the compound event occurring.
17. Suppose that the probability that Bob has a flat tire is 56%. Also, suppose that the probability that Bob ha= both a flat tire and a transmission failure is 14%. Find the probability Bob will have a transmission failure if h- has a flat tire. A. 0.21 В. 0.23 C. 0.25 D. 0.27
9.The NAR estimates that 23% of all homes purchased in 2004 were considered investment properties. If a sample of 800 homes sold in 2004 is obtained find the probability that at most 175 homes are going to be used as investments.
13. When a fair die is tossed, what is the probability of getting an even number? A. % В. 1/2 C. 1/3 D.2 14. When a fair die is tossed, what is the probability of getting an odd number? A. 1/4 B. 1/2 C. 1/3 D. 2 15. When two dice is tossed, what is the probability of getting a sum of 32 A. 1/10 В. 1/11 С. 1/18 D. 1/21 16. When two dice is tossed, what is the probability of getting a sum of 5? A. 1/4 В. 1/5 C. 1/8 D. 1/9 17. There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a blue ball? A. 1/4 B. 1/5 C. 1/8 D. 3/10 18. There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a red ball? В. 1/5 A. 1/4 C. 1/8 D. 3/10 19. There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a PINK ball? A. O В. 1 С. 1/8 D. 3/10 20. There are 15 green balls inside a jar. What is the probability of getting a green ball? A. O D. 3/10 В. 1 С. 1/8
1. Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider this a SRS from the population of all sycamore trees. Calculate the probability that less than 24% of the tress in the sample are killed. (Hint: Shape, Center, Spread, Curve, Calculations, Conclusion....)
28.) A Certain Blood Group type can be find only in 0.05% of the people. If the population of a randomly selected group is 3000. What is the Probability that at least a people in the group have this rare blood group.
3. A hacker breaking into a computer system has a 15% chance of breaking into a system in 3 minutes, a 35% chance after 8 minutes, and a 50% chance after 30 minutes. What is the expected time it will take the hacker to get in?
12. If 2% of a certain brand of light bulbs are defective, find the probability that, in a random sample of 80 bulbs, a total of 0, 1, 2, 3, and more than 5 will be defective.

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