rework problem 4 from section 3.4 of your text, involving probabilities on a tree diagram. Construct a copy of figure 3.17 in your text, where the first outcome is one of X, Y, and Z, and the second outcome in each case is one of A and B. Use the following probabilities instead of those given in your text: Pr[X]=4/7 Pr[Y]=1/7 Pr[Z]=2/7 Pr[A|X]=4/5 Pr[B|X]=1/5 Pr[A|Y]=2/3 Pr[B|Y]=1/3 Pr[A|Z]=7/8 Pr[B|Z]=1/8 Find the following missing probabilities: (1) Pr[B|Y]= (2) Pr[Y|B]= (3) Pr[(XorY)|B]=

rework problem 4 from section 3.4 of your text, involving probabilities on a tree diagram. Construct a copy of figure 3.17 in your text, where the first outcome is one of X, Y, and Z, and the second outcome in each case is one of A and B. Use the following probabilities instead of those given in your text: Pr[X]=4/7 Pr[Y]=1/7 Pr[Z]=2/7 Pr[A|X]=4/5 Pr[B|X]=1/5 Pr[A|Y]=2/3 Pr[B|Y]=1/3 Pr[A|Z]=7/8 Pr[B|Z]=1/8 Find the following missing probabilities: (1) Pr[B|Y]= (2) Pr[Y|B]= (3) Pr[(XorY)|B]=

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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Question 7. Suppose box-1 contains a white balls and b black balls, and box-2 contains c white balls and d black balls. One ball of unknown color is transferred from first box into the second one and then a ball is draws from the latter. What is the probability that it will be a white ball?
Rework problem 3 from section 4.1 of your text involving the computation of probabilities for Bernoulli trials. Use the following values instead of those found in your book. (1) 4 successes in 10 trials with q = 0.5 (2) 3 failures in 9 trials with q = 0.75
1. Consider the gambler's ruin problem. Alice starts with £a; her opponent Bob starts with £(ma). In each round, Alice wins £1 from Bob with probability p, or loses £1 to Bob with probability q = 1 - p. Alice ruins if she is reduced to £0; Bob ruins if he is reduced to £0, which means Alice would have £m. Let X denote the amount of money in pounds that Alice has after n rounds. Consider the stochastic process (✗n). pri+1ri+gri-1 = 0 for i = 1, 2,..., m — 1, Assuming p, solve the linear difference equation in part (c), to show that the ruin probability is pm - pa ra pm 1 ' where you should identify p in terms of p and q.
Please show your answer and explain it. DO ONLY PROBLEM 53
Rework problem 18 from section 3.3 of your text, involving filling in missing probabilities on a tree diagram. Construct a copy of figure 3.11 in your text, where the first outcome is one of (A,B,C) and the second outcome in each case is one of (1,2,3) (only 1 or 2 in the case of outcome C). Use the following probabilities instead of those given in your text: Pr[A1] Pr[2|A] Pr[A2] Pr[A3] Pr[B1] Pr[2|B] Pr[B3] Pr[C1] Pr[C2] 12 1 12 12 1 1 12 Find the following missing probabilities: (1) Pr[A] = (2) Pr[1|A] (3) Pr[2|A] = (4) Pr[B] =
Section 5.3 Step 1 of 2 : What is the probability that she selects a non-physics major, given that she chooses randomly from only the freshmen? Enter a fraction or round your answer to 4 decimal places, if necessary. Step 2 of 2 : What is the probability that she selects a junior, given that she chooses a physics major? Enter a fraction or round your answer to 4 decimal places, if necessary.
Rework problem 2 from section 4.1 of your text involving the computation of probabilities for Bernoulli trials. Use the following values instead of those found in your book. (1) 3 successes in 5 trials with p = 0.4 : (2) 2 successes in 5 trials with p = 0.3 : (3) 0 successes in 4 trials with p = 1/8 :
Solve the following problem, similar to problem 4 from section 2.4 of your text. You select 9 cards randomly from a deck of 52 cards. What is the probability that all of the cards selected are face cards (i.e. jacks, queens, or kings)?
On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this process
Situation 2: I went to the grocery store and I noticed that there are five different kinds of brown sugar at different prices, each brand has different probabilities that they will be sold. What formula should I use if I want to determine how the prices vary from the average price of the product that would be sold to the customers repeatedly?
where the first outcome is one of X, Y, and Z, and the second outcome in each case is one of A and B. Use the following probabilities instead of those given in your text: Pr[X]=37 Pr[Y]=27Pr[Z]=27Pr[A|X]=45Pr[B|X]=15Pr[A|Y]=23Pr[B|Y]=13Pr[A|Z]=18Pr[B|Z]=78 Pr[(XorY)|B]=
section 5.3 Out of 413 applicants for a job, 127 have over 10 years of experience and 51 have over 10 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience? Enter a fraction or round your answer to 4 decimal places, if necessary. Step 2 of 2: Consider that 83 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 10 yrs of experience, given that the applicant has a graduate degree? round to 4 decimal places