Issue 3: Determine a Probability DistributionIn a statistics class, students are given a homework assignment which can be described asthe followings: (a) develop an experiment; (b) design a question; and (c) determine aprobability distribution based upon the experiment you developed. One student developsan experiment: he puts 20 balls in a black box (i.e., it is not possible to see inside). These 20balls include 15 white balls and 5 red balls. He closes his eyes and randomly selects 3 ballswithout replacement from this box. He designs a question: what is the probability that heexactly picks 2 red balls? He finally claims that this experiment is the binomial experiment,which means that the random variable is the binomial probability distribution. His reasonis: you either pick white ball or red ball, so there are only two outcomes. It is impossiblethat you can have the third outcome. Therefore, it is a binomial experiment. Do you agreewith the student's claim? Does it make any sense? Why or why not? Discuss and explainyour reasons. You must provide your statistical analysis and reasons. The minimumrequirement for your discussion is 150 words, while the minimum requirement for your

GivenA student developed an experiment : He kept 20 balls in black box. There are 15 white balls and…

Answered: Issue 3: Determine a 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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In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a) through (c) below. Purchased Gum Kept the Money Students Given Four Quarters 34 16 Students Given a $1 Bill 15 31 a. Find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill. The probability is . (Round to three decimal places as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given a $1 bill. The probability isO: (Round to three decimal places as needed.) c. What do the preceding results suggest? O A. A student given a $1 bill is more likely to have spent the money than a student given four quarters. O B. A student given a $1 bill is more likely to have kept the money than a student given four quarters. OC. A student given a $1 bill is more likely to have kept the…
In a statistics class, students are given a homework assignment which can be described as the followings: (a) develop an experiment; (b) design a question; and (c) determine a probability distribution based upon the experiment you developed. One student develops an experiment: he puts 20 balls in a black box (i.e., it is not possible to see inside). These 20 balls include 15 white balls and 5 red balls. He closes his eyes and randomly selects 3 balls without replacement from this box. He designs a question: what is the probability that he exactly picks 2 red balls? He finally claims that this experiment is the binomial experiment, which means that the random variable is the binomial probability distribution. His reason is: you either pick white ball or red ball, so there are only two outcomes. It is impossible that you can have the third outcome. Therefore, it is a binomial experiment. Do you agree with the student’s claim? Does it make any sense? Why or why not? Discuss and explain…
A class consists of 10 male and 30 female students. If one student is randomly selected from the class, what is the probability of selecting a male student? Question 2 options: 10/30 10/40 1/10 1/40
Use the data in the following table that shows results from a polygraph (lie detector) conducted by researchers Charles R. Honts and Gordon H. Barland. In each case, it was known if the subjects lied or did not lie, so the table indicates when the polygraph was correct. If two different subjects are randomly selected without replacement, find the probability that they both lied.
1. Use this table for the following questions: Female Male TotalShort Hair 20 40 60 Long Hair 30 10 40 Total 50 50 100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…
Brian is in charge of the mailroom of the Boryk Corporation. Each day the company receives several packages via the U.S. Postal system, for which he must sign. The following is the probability distribution for the number of daily pieces of mail that comes via the Postal system.
We randomly select a batch of 40 computer disks for shipment. The probability of selecting a good disk is the same as the probability of selecting a defective disk. In part C, you will determine the probability that this shipment contains 10 defective disks and 30 good disks for our batch or 15 defective disks and 25 good disks for our batch. Note: I am not asking for an example of an outcome, although I may ask for examples of outcomes on the exam. A. What is the size of your sample space S? i.e., How many different outcomes (batches of 40 disks) in your sample space? What are the conditions? What counting technique(s) are you using? B. How many outcomes when randomly selecting 10 defective disks and 30 good disks for our batch or 15 defective disks and 25 good disks for our batch. What are the conditions? What counting technique(s) are you using? C What is the probability of randomly selecting a batch of 10 defective disks and 30 good disks or a batch of 15 defective disks and 25…
There are 100 students surveyed. 46 are taking Calculus, 24 are taking Spanish, and 12 are taking both Calculus and Spanish. If a student is picked at random, what is the probability that the student is taking Calculus or Spanish? O A. 70% C. 46% B. 82% O D. 58%

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