1. In a manufacturing process, parts produced are classified in the table below. A 400parts are classified by surface flaws and as (functionally) defective.DEFECTIVESURFACE FLAWSYESNOYESNO101830342(a) Draw the tree diagram for the parts classified.(b) If a part is selected at random, what is the probability that it is not defective?(c) If the part classified has surface flaws, what is the probability that it is defective?(d) If the part classified is defective, what is the probability that the part classified hassurface flaws?(e) If the part classified is not defective, what is the probability that the part classifiedhas no surface flaws?

Answered: 1. In a manufacturing process, parts…

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. Consider the sample space S = {copper, sodium, nitrogen, potassium, uranium, oxygen, zinc} and the events. A = {copper, sodium, zinc}, B = {sodium, nitrogen, potassium}, {охygen}. C = List the elements of the sets corresponding to the following events: a. (A N B') U C"; b. B’N C'; c. ANBNC; d. (A' U B') N (A’ N C). 7. Registrants at a large convention are offered 6 sightseeing tours on each of 3 days. In how many ways can a person arrange to go on a sightseeing tour planned by this convention? 8. A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different heating systems, a garage or carport, and a patio or screened porch. How many different plans are available to this buyer? 9. A witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by 3 digits, the first of which was a 5. If the witness cannot recall the last 2 digits, but is certain that all 3 digits are different, find the maximum…
I. There are 8 different fruity flavors in Brach's Sweet and Sour Variety Mix. The manufacturer says that a package contains about 280 pieces. You bought a bag to give out for Halloween. a) Your favorite flavor is LemonHead – how many LemonHead pieces do you expect to find in this bag? b) If it turns out that there 40 LemonHeads in the bag do you think the difference between what occurred and what you would expect by chance is statistically significant? Explain. c) If it turns out that there are 70 LemonHeads in the bag do you the difference between what occurred and what you would expect by chance is statistically significant? Explain.
2. According to a study on the effect of music downloading on spending on music, 11% of all Internet users had decreased their spending on music. If 40% of all music fans used the Internet and if 20% of non- Internet users had decreased their spending on music, what percentage of those who decreased their spending on music were Internet users. Let D be the event decreased spending, I be the event an Internet user. You are asked to find P(ID)
2. Let E and F be events in a sample space S. (a) The probability of E or F occurring is P(E U F) = (b) If the events E and F have no outcome in common (that is, the intersection of E and F is empty), then the events So in drawing a card from a deck, the event E, "getting a heart," and the are called event F, "getting a spade," are , (c) If E and F are mutually exclusive, then the probability of E or F is P(E U F) =
A. 40%B. 60%C. 20%D. 80%
a) Market research has shown that 60% of persons who are introduced to a certain product actually buy the product. A random sample of 15 persons were introduced to the product.
10) Last school year, the student body of a local university consisted of 35% freshmen, 24% sophomores, 26% juniors, and 15% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 90 Sophomores 60 Juniors 90 Seniors 60 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The expected frequency of seniors is a. 45 b. 35 c. 65 d. 55
3. Oil exploration : Let D and E be two events in a sample space. It is given that P (D) = 0.4, P (E) = 0.5 and P (DUE) = 0.8. (a) Are the events D and E disjoint? Are the events D and E independent? Then to oil exploration. We imagine two oil fields. The event B = "oil discovery on field 1", while the complementary event B' = "no oil on field 1". Similarly, the event C = "oil discovery on field 2", while C' = "no oil on field 2". We are given that P (B n C) = 0.06, P (B' n C) = 0.12, P (B n C') = 0.11 and P (B' n C') = 0.71. (b) Find the probability of oil on field 1. Assume that oil has been found on field 2. What is now the probability of oil on field 1? Assume that it has been proven that field 2 does not contain oil. What is now the probability of oil on field 1? Are events B and C independent?

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