Here's a discrete probability experiment: a college instructor keeps track of the number of students who comein during her office hours. In the table, x is the number of students who visit her during her office hours, andP(x) is the associated probability.P(x)0.250.150.250.35(a) Find the probability that at least one student comes in during office hours.(b) Find the probability that NO students come.(c) What word do we use to denote the relationship of the events described in (a) and (b)?O skewedO complementsO correlatedO independent(d) What's the average number of students the instructor can expect to come in during office hours? Don't roundyour answer.students, on average

We have given that probability distribution table X P(X) 0 0.25 1 0.15 2 0.25 3 0.25

Answered: Here's a discrete probability…

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 recent survey by the New Statesman on British social attitudes asked respondents if they believe that inequality is too large. The survey found that 65% of the respondents do believe inequality is too large. In a sample of six British citizens, what is the probability that two believe inequality is too large? If required, round your answer to four decimal places.f (2) = In a sample of six British citizens, what is the probability that at least two respondents believe that inequality is too large? If required, round your interim calculations and final answer to four decimal places.P (at least 2) = In a sample of four British citizens, what is the probability that none believe inequality is too large? If required, round your answer to four decimal places.f (0) =
The 10-year survival rate for blood cancer is approximately 12%. If 145 people who have blood cancer are treated for the disease, calculate the probability that: (i) no one will survive for 10 years. (ii) not more than 4 will survive for 10 years.
(a) The probability that a student passes the P&S exam is 0.7. (i)Find the probability that a given student will pass the P&S exam after the third try. (ii)Find the probability that the third student who fails the P&S exam is found after the fifth student in a class of 9 students? (iii)Find the probability that at most 3 students will pass the P&S exam in a class of 7 students.
Peter oversees the electronics section of a large department store. He has noticed that the probability that a customer who is just browsing will buy something is 0.2. Suppose that 10 customers browse in the electronics section each hour. (i) What is the probability that no browsing customers will buy something during a specified hour? (ii) What is the probability that at least one browsing customer will buy something during a specified hour?
On the way to school, a student encounters a traffic light on Main Street. The student estimates that she will get stopped on 23% of school days. During a 5-day school week, what is the probability that she: (Round to 4 decimal places when necessary.) (a) gets stopped for the first time on Wednesday? (b) gets stopped at least once during the week? (c) gets stopped everyday? (d) gets stopped on Monday, Tuesday and Wednesday?
A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 What is the average number of blue cards drawn? What is the probability that at most one blue card is drawn?
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes. (a) Find the probability that a customer has to wait more than five minutes. (Round your answer to three decimal places.) (b) Find the probability that a customer is served within the first one minutes. (Round your answer to three decimal places.) X (c) The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 2% of her customers. What should the advertisement say? (Give your answer to the nearest integer that satisfies the conditions.) "If you aren't served within minutes, you get a free hamburger."
In Alpha College, students are required to join at least one school club to get extra-curriculum activities’ marks.Suppose the following table represents the probability distribution function of the number of clubs (?) astudent join: ? 1 2 3 4 ?(? = ?) 0.1 2? ? + 0.1 ? (a) Find the value of ?.(b) What is the probability that a student joins at most two clubs?(c) Find ?(?), ???(?) and ?(?).(d) Suppose the membership fee is $100 per club, with the first enrolled club is free of charge. Let ? bethe total membership fee a student pay. Compute ?(?) and ?(?).(e) What percentage of students are paying not less than $200 for the total membership fee?(f) Write a simple paragraph (about 30 -50 words) to summarize the total membership fee a student payingfor joining school club(s) (based on the results in parts (d) and (e)).
Prob-1 Probability that cars have been assembled in a particular plant as follows: P(plant1) =20%, P(plant2)=24%, P(plant3)=25%, P(plant4)=31%. Total number of cars manufactured by all plants: 1.2 million/year. Number of cars of no warranty claims manufactured by plant1: 223200/year. Compute the warranty claim rate of the cars assembled in plant1? C: warranty Claim rate NC: No warranty claim rate= 1- C P1 20% Total Cars Manufactured C = P2 NC 24% P3 P4 .% 25% 31% C NC C C Z NC .NC
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A deck of four (4) cards has exactly one (1) color printed on each face – blue, yellow, red, or green. You have two (2) identical decks of this type. In this game, you randomly select a card from each of the two decks. Your score is the number of blue cards drawn – refer to this quantity as X. The probability distribution is below: X P(X) 0 0.5625 1 0.375 2 0.0625 1. If we replaced the yellow card in the first deck with another blue card, what would be the probability of drawing two blue cards? 2. If we replaced the yellow card in the first deck with another blue card, what distribution would the variable X follow?
Components coming off an assembly line are either free of defects (S, for success) or defective (F, for failure). Suppose that 80% of all such components are defect-free. Components are independently selected and tested one by one. Let y denote the number of components that must be tested until a defect-free component is obtained.

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