Suppose there are 10 candies in a jar, and you want to randomly pick a candy without looking. Each time you pick a candy, there's a 1/10 chance of picking the desired candy, and a 9/10 chance of picking a different one. Answer the following questions: (a) What kind of probability distribution models the random variable counting the number of un- wanted candies picked before getting the desired candy from the jar, and what are its parameters? (b) What is the variance of this random variable? (c) Find the probability that you take more than two attempts to pick the desired candy. (d) What simplifications are made in this scenario that might not hold in real-life?

Suppose there are 10 candies in a jar, and you want to randomly pick a candy without looking. Each time you pick a candy, there's a 1/10 chance of picking the desired candy, and a 9/10 chance of picking a different one. Answer the following questions: (a) What kind of probability distribution models the random variable counting the number of un- wanted candies picked before getting the desired candy from the jar, and what are its parameters? (b) What is the variance of this random variable? (c) Find the probability that you take more than two attempts to pick the desired candy. (d) What simplifications are made in this scenario that might not hold in real-life?

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...

See similar textbooks

Similar questions

If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?
Virtually any process can be improved by use of statistics, including the law. A much publicized case that involved a debate about probability was the Collins case, which began in 1964. An incident of purse snatching in the Los Angeles area led to the arrest of Michael and Janet Collins. At their trial, an "expert" presented the probabilities listed in table below on characteristics possessed by a couple seen running from the crime scene: Characteristics Probability Man with beard 1/10 Blond woman 1/4 1/10 Yellow car Woman with ponytail Man with moustache Interracial couple 1/10 1/3 1/1000 The chance that a couple had all these characteristics together is 1 in 12 million. Because the Collinses had these characteristics, the Collinses must be guilty. Do yo see any problem with this line of reasoning? Hint: The question of interest is not "what is the probability of finding a couple with these characteristics?" because one such couple has been found (the Collinses), the question is "what…
You roll three 5-sided dice simultaneously(each with an equal probability of landing on each number 1 though 5). What is the expected value of the smallest of the three dice?
In a survey, 45% of the interviewees are of age below 30, 30% are between 30 and 50, and 25% are above 50. 90% of the interviewees aged below 30, 60% of the interviewees aged between 30 and 50, and 70% of the interviewees aged above 50 can swim. (a) If a randomly selected interviewee can swim, find the probability that his/her age is between 30 and 50. (b) If a randomly selected interviewee cannot swim, find the probability that his/her age is below 30.
In an inspection of automobiles in a certain Country, 60% of all automobiles had emissions that did not meet EPA regulations. For a random sample of 10 automobiles, compute the following probabilities: a. All 10 automobiles failed the inspection. b. Exactly 6 of the 10 failed the inspection. c. Six or more failed the inspection. d. All 10 passed the inspection.
According to the college registrar's office, 45% of students enrolled in an introductory statistics class this semester are freshmen, 20% are sophomores, 25% are juniors, and 10% are seniors. You want to determine the probability that in a random sample of five students enrolled in introductory statistics this semester, exactly two are freshmen. (a) Describe a trial. Can we model a trial as having only two outcomes? If so, what is success? What is failure? Choose one of the statements below:A. A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can model this trial with "freshman" being a success and "any other class" as a failure.B. A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can model this trial with "junior" being a success and "any other class" as a failure.C. A trial consists of looking at the class status of a student enrolled in introductory statistics. Yes we can…
Your manufacturing plant produces air bags, and it is known that 50% of them are defective. Five air bags are tested. Compute the probability distribution of the binomial variable described above, and use it to compute the probability that if five air bags are tested, at least one will be defective and at least one will not.
A certain group of women has a 0.06% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness?