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]=1/6 Pr[2|A]=1/3 Pr[A2]=1/6 Pr[A3]=1/6 Pr[B1]=1/8 Pr[2|B]=1/6 Pr[B3]=1/23 Pr[C1]=1/8 Pr[C2]=1/8 Find the following missing probabilities: 1. Pr [A]

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]=1/6 Pr[2|A]=1/3 Pr[A2]=1/6 Pr[A3]=1/6 Pr[B1]=1/8 Pr[2|B]=1/6 Pr[B3]=1/23 Pr[C1]=1/8 Pr[C2]=1/8 Find the following missing probabilities: 1. Pr [A]

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

The probability that Taylor Swift is Austin’s favorite music artist is .10. The probability that he will go to one of her concerts is .84. However, the probability that he does not like Taylor Swift and will go to a concert (because his wife makes him) is .75. a.) Write down the 3 pieces of information given in terms of probabilities involving event A (Taylor Swift is Austin’s favorite music artist) and event B (Austin will go to a Taylor Swift concert). b.) Summarize the above information using a probability table. c.) Find the probability that Taylor Swift is Austin’s favorite music artist or Austin will go to a Taylor Swift concert.
I need help with A, B, C. Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays both of the others. Suppose that P(A beats B) = 0.2P(A beats C) = 0.4P(B beats C) = 0.7 and that the outcomes of the three matches are independent of one another. (a) What is the probability that A wins both her matches and that B beats C? and What is the probability that A wins both her matches? (b) What is the probability that A loses both her matches? (c) What is the probability that each person wins one match? (Hint: There are two different ways for this to happen.)
Suppose that 20% of boys opted for mathematics and 40% of girls opted for mathematic Wi probability tha rematics if half of the cl 0.3 0.5 0.4 0.7
Suppose, in an airport, there are three runways. In the ideal situation, the probabilities, 2/9, 1/6, and 11/18 represent the likelihood that individual runways 1, 2 and3 respectively are accessed by a randomly arriving commercial jet. If 6 airplanes are arriving at the airport then what is the probability that there are 2, 1, and 3 airplanes are accessed by runway 1, runway 2, and runway respectively.
Use the appropriate formula to answer the question: • Independent Probability: P(A and B) = P(A) x P(B) • Conditional Probability: P(A n B) = P(A) x P(B|A) • Addition Rule: P(A or B) = P(A) + P(B) – P(A and B) True or False: Events A and B are independent? P(A) = 0.60 P(B) = 0.70 P(A and B) = 0.42 True False
Please answer d and e. P.9.2
1. A class of 18 pupils consist of 11 girls, 4 of whom are left-handed, and 7 boys, only one of whom is left-handed. The two pupils are to be chosen at random from the class to act as monitors. Calculate the probabilities that the chosen pupils will consist ofa. One girl and One boyb. One girl who is left-handed and one boy who is left-handedc. Two left-handed pupils
1. A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A and B1) b. If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A/B) c.If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A1 and B) d.If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following probabilities: P (A or B)
Construct a copy of figure 3.15 in your text, where the first outcome is one of A and B the second outcome in each case is one of a and b. Use the following probabilities instead of those given in your text:Pr[A]=2/7 Pr[B]=5/7Pr[a|A]=3/5Pr[b|A]=2/5Pr[a|B]=2/3Pr[b|B]=1/3 Find the following missing probabilities: Pr[B]= Pr[b]= Pr[b|B]= Pr[B|b]=
Write the m.g.f. of a r.v. X taking on values -4, 0 and 4 with respective probabilities 0.3, 0.4, and 0.3. 0.3 e4 +0.4 • e² + 0.3 -4z 0.3 e +0.4+ 0.3. e4z 1+0.3. e4z +0.3 · e-4z e4 0.3 ez +0.4 e² + 0.3. e4z
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]=
Suppose you have 3 events A,B,C and exactly one happens and are equally likely. There is another event E and we know P(E|A)=.4, P(E|B)=.7, and P(E|C)=.8. Suppose we don't know if A,B, or C was the event that happened, but we do know E happened. Find the three probabilities that A happened, B happened, and C happened.