3. Let (2,U,P) be a probability space and the events A. BE U such that the probabilities aregiven as:6P(A) = P(B|4)= P(B|4²) = ²/10Find the following probabilities.a) P(B)b) P(A/B)c) P(A/B)Id) P(A¹B)

Answered: Image /qna-images/answer/7310e95b-abe6-4d93-b127-b304132ddffa.jpg

Answered: 3. Let (N.U.P) be a probability space…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let A and B be any two events defined on S. suppose that p(A)=0.2, p(B)=0.7, and p(A and B)=0.3, the probability that A or B occur=?
S=(0,1,2,3,4,5,6,7,8,9) A=(0,1,3,7,8) B=(0,2,3,5,6,7) C=(3,4,7,8). Give the following probabilities as fractions in lowest terms. No spaces. (a) P(AUB)= (b) P[B'n C)=
Show that the probability that an event A or an event B or both will occur is given by the formula P(AUB) = P(A)+P(B)– P(AnB), and specialise this formula for the case (a) when A, B are mutually exclusive events and for the case (b) where A, B are statistically independent events. Find the probabilities P(A), P(B) when A, B are statistically independent events such that P(B) = 2P(A) and P(AU B) = 5/8.
If P (A) = 0.6, P (B) =0.5 and P (A U B) = 0.9, find the following probabilities: (a) P (ANB) (b) P (A/B)
Examine the following table: A A Totals 200 800 1,000 - 300 700 1,000 Totals 500 1,500 2,000 a. Calculate the following probabilities: P(A), P(A), P(A\B), P(ATB), P(A B), and P(A\B). b. Show that (1) A and B. (2) A and B.(3) A and B. (4) A and B are dependent events.
Use the attached image to compute the following probabilities:• P(B|A)• P(B ∩ A)• P(B0|A)• P(B0 ∩ A)
2b) Find zo for the following probabilities: iii) P(-Zo
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
Q13: If A and B are two events such that P(A) = p₁, P(B) = P2, P(ANB) = P3, then the probability that A occurs but B does not occur is: (a) P1 - P3 (b) P1 P2 (c) P1 - P2P3 (d) P1 — P1P2
If A and B are two events such that P (A or B) =2/3 , P(A N BC )=1/3 and P(A/B)= 1/6. Find P(AC or B). Select one: O a. 2/3 O b. 1/3 O c. 7/18 O d. 1/18
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)
2b) Find zo for the following probabilities: i) P(Z > Zo) - 0.25 O-0.67 O o 0.67 O 0.5 Jimmy and Rosalynn Carter celebrate 76 years of marm to

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3. Let (N.U.P) be a probability space and the events A. BE U such that the probabilities are given as: 6 P(A) = P(BA)= P(B|4²) = ²/ 10 Find the following probabilities. a) P(B) b) P(A/B) c) P(A/B) I d) P(A¹B)