Deon is a quality control inspector who works at a factory that produces inexpensive, unassembled furniture. He has a batch of plastic connection parts toinspect. Suppose 145 of these parts will not pass inspection and there are 1000 parts total in the batch.Deon chooses a plastic connection part to inspect at random. Let the event A and the event B be as follows.A: The part Deon chooses does not pass inspection.B: The part Deon chooses passes inspection.Find the following probabilities. Write your answers as decimal numbers and do not round.P(A) = 0P(B) = 0

We have given that, Total parts in a batch = 1000 The part Deon chooses does not pass inspection…

Answered: Deon is a quality control inspector who…

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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A cell phone salesperson has kept records on the customers who visited his store. Forty percent of the customers who visited the store were female. Furthermore, the data show that 35% of the females who visited his store purchased a cell phone, while 20% of the males who visited his store purchased a cell phone. Let A1 represent the event that a customer is a female, A2 represent the event that a customer is a male, and B represent the event that a customer will purchase a phone.What is the probability that a female customer will purchase a cell phone?
Three six-sided dice are in an urn: one fair die and two trick dice. One of the trick dice always lands on either 2, 4, or 6, with equal probability, while the other trick die always lands on 1, 3, or 5, with equal probability. 9. You draw one die at random and roll it. What is the probability that you drew the fair die, given that the roll is at least 4?
b)
Recently, Hector ran for president of the local school board. Of those who voted in the election, 80% had a high school diploma, and the other 20% did not. Hector got 65% of the vote of those with high school diplomas, while he got only 25% of the vote of those without high school diplomas. Let D denote the event that a randomly chosen voter (in the school board election) had a high school diploma and D denote the event that a randomly chosen voter did not have a high school diploma. Let H denote the event that a randomly chosen voter voted for Hector and H denote the event that a randomly chosen voter did not vote for Hector. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses. (If necessary, consult a list of formulas.)
An experiment consists of rolling a fair die twice. Let A be the event that in the second roll the die lands 1, 2, or 5; B be the event that in the second roll the die lands 4, 5, or 6; and C be the event that the sum of the two outcomes from the two rolls is 9. Please choose the correct answer:
Consider two random events A and B. Event Ac is the complement of event A, and Bc is the complement of B. P(A) =0.64. P(B) = 0.3, and P(A and B) =0.192. Then we can say that the two events A and B are
Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of the event B.
a). A girl is randomly picking flowers in a meadow for a bouquet. She will stop once she has picked 4 dandelions. Suppose that a randomly selected flower is a dandelion with probability 0.70. Find the probability that her bouquet will have exactly 8 flowers in total. b). An entomologist has a collection of 20 insect specimens: 5 are butterflies and 15 are moths. He randomly selects a sample of 6 specimens to study. Find the probability that the sample contains an equal number of butterflies and moths. 2
Of the approximately 300 million current U.S. residents, only about 30,000 have ever appeared in a movie. Only 30 of the current U.S. residents having appeared in a movie have ever won an Oscar for Best Actor, which is an award presented annually to the American actor who delivered the most outstanding performance in a leading movie role. A person is randomly selected from the current U.S. residents. Let M represent the event the selected individual has appeared in a movie. Let O represent the event the selected individual has ever won an Oscar for Best Actor. Order the following probabilities from smallest to largest. I. P(O) II. P(M) III. P(MO) IV. P(O|M) (A) I, III, II, IV (B) IV, II, I, III (C) IV, III, I, II (D) I, II, IV, III (E) IV, I, III, II
There are three containers, A, B and C. Each container contains 25 balls, which are either red or blue. Container A has 15 red balls, container B has 16 red balls, and container C has 12 red balls. In a random experiment, one first randomly chooses a container, and then a ball is drawn from the chosen container. The probability of choosing container B in step 1 is 2/5 . The experiment is designed so that the events “the ball drawn is red” and “the ball drawn comes from container A” are independent. Suppose that the ball drawn is red. What is the probability that it came from container C?
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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