Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. Assuming that a head is five times as likely to occur, find the probability distribution of the random variable W. Complete the following probability distribution of W. W 3 1 -1 -3 125 25 5 1 f(w) 216 72 72 216 (Type integers or simplified fractions.)

Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. Assuming that a head is five times as likely to occur, find the probability distribution of the random variable W. Complete the following probability distribution of W. W 3 1 -1 -3 125 25 5 1 f(w) 216 72 72 216 (Type integers or simplified fractions.)

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

A marketing firm wishes to test the effectiveness of the audio/visual presentation of certain information as opposed to the purely audio presentation of the information. To this end 100 volunteers were given a 10 minute presentation in which the information was presented in an audio/visual format. A second group of 100 volunteers was presented the same information in a purely audio format. Each person in each of the two groups was asked the same 20 questions related to the information in the presentation. The audio/visual group had an average of 10.5 correct responses with a sample standard deviation of 4. The purely audio group had an average of 9.4 correct responses with a standard deviation of 3. The marketing firm believes this means that the audio/visual format leads to better retention of the information. We test the hypotheses H0: 1 -2=0 versus Ha: 1 -2>0 at a 2% level of significance. Here denotes 1 the population average number of correct responses for…
In a traditional class with in-class tests, a question that is often asked after a class exam is, "What was the class average?" If that question is asked and the professor says that the class average was 80, what information do the students gain by knowing that? I want you to focus on both what the individual students knows about their own grade as well as what the students know about the class's grades on that exam.
In 2004 it surfaced in Reader's Digest presented as having happened to a teacher at an unnamed community college. Four students walked in halfway through American history test my father was giving at the local community college. "Sorry," they said, "we had a flat tire." An understanding man, Dad said that if they could answer just one question correctly, he would give them each an "A" for the exam. The students agreed. So my father handed each one a piece of paper, placed them in four separate comers and said, "Write down which tire was flat." Kurt Smith What is the probability that these four students would give identical answers if they hadn't had a flat tire? Why?
For this problem, assume the test had 6 true-false questions and 8 multiple-choice questions, and that each multiple-choice question had 5 choices. How many different answer sheets can be submitted?
A marketing firm wishes to test the effectiveness of the audio/visual presentation of certain information as opposed to the purely audio presentation of the information. To this end 100 volunteers were given a 10 minute presentation in which the information was presented in an audio/visual format. A second group of 100 volunteers was presented the same information in a purely audio format. Each person in each of the two groups was asked the same 20 questions related to the information in the presentation. The audio/visual group had an average of 10.5 correct responses with a sample standard deviation of 4. The purely audio group had an average of 9.4 correct responses with a standard deviation of 3. The marketing firm believes this means that the audio/visual format leads to better retention of the information. We test the hypotheses H0: 1 -2=0 versus Ha: 1 -2>0 at a 2% level of significance. Here denotes 1 the population average number of correct responses for…
Roads A, B, and C are the only way to escape from a certain provincial prison. Prison records show that, of the prisoners who tried to escape, 17% used road A, 13 % used road B, the remainder used road C. The records also indicate that 72 % of those who tried to escape using road A were captured. 62 % of those using road B were captured, and 21% of those using road C were captured. Use four decimals in your answers. (a) What is the probability that a prisoner escaping from this provincial prison is not captured? 0.65 (b) What is the probability that a captured prisoner used road A in their escape attempt? (c) What is the probability that a prisoner who didn't get captured has used road C?
Can i share my screen and show you a homework problem that I thought I did right but is wrong and I don't know what I've done wrong?
Answer all parts completely. Note : I can not read handwritten solutions. This means I prefer someone to type all answers out on a program like Google Docs/Microsoft Word. I GURANTEE YOU A THUMBED UP ANSWER IF YOU DO MY PREFERRED METHOD!!!
Unfortunately, for some reason, at least one of the answers isn't correct. I got the same answeres myself. Is there a reason any could be wrong?