Let n e N, c > 0. Suppose that A1,..., An and B1,. . ,Bn are two familiesof independent events in a probability space (2,E,P) such that Bk C Ak andc·P(Bx) > P(Ak) for every k E {1,..,n}. Show thatc. P(B1U.U Bn) > P(A1U.U An).

Given :A1,...,An and B1,...,Bn are two families of independent events in aprobability space Bk⊂Ak.To…

Answered: Let n e N, c > 0. Suppose that A1,...,…

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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A poll of 220 students at a university reveals that 80 are taking a lab science course, and 55 are members of the Honors College, while 18 are taking a lab science and are members of the Honors College. Let L = the event that a student is taking a lab science, and H= the event that a student is a member of the Honors College. Complete parts (a) through (e) bel d. A student is randomly chosen. Find P(LH) and P((LH)) and explain what each number represents. P(LnH) (Simplify your answer.) = P((LnH)) = (Simplify your answer.) Explain what P(L n H) and P ((LH)) represent. Choose the correct answer below. O A. P(LnH) is the probability a student is taking a lab science and is a member of the Honors College. P ((LH)') is the probability a student is not taking a lab science or is not a member of the Honors College. O B. P(LnH) is the probability a student is taking a lab science or is a member of the Honors College. P ((LH)') is the probability a student is not taking a lab science or is not…
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Let E and F be events in a sample space S with probabilities p (E)= and p (F) = such that the conditional probability of F given E is p(FE) = Determine p(EF). 0 / / 75 O None of these.
I need the answer as soon as possible
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Let F1, F2, and F3 are pairwise disjoint events from a sample space S = F,UF,UF3. Let E be an event in S such that p(F;|E) = 0.4 and p(F2|E)=0.2. Determine (F3|E).
K Suppose that there is a white um containing four white balls and two red balls and there is a red urn containing two white balls and three red balls. An experiment consists of selecting at random a ball from the white urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red. For this problem, assume that OA. 5 represents drawing a white ball from an um and that R represents drawing a red ball from an urn. Draw a tree diagram that represents this situation. Choose the correct answer below. OD So, the probability of the second ball being red is (Type an integer or a simplified fraction.) OB. X OC. -R
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13 -The random variable X takes the values 0, 1 and 2 with probabilities 1/4, 2/4 and 1/4, respectively. Find the value of the cumulative probability function F (X <2 and X = 2) of the discrete probability division in question. A)0 B)1/4 C)one D)3/4 TO)1/2
A signal will fail to get through a network when the following combination of events (R n R2) U R is true. All three events (R. R2, and R) are statisticaly independent and each has a probability of 0.2. Determine the probability of no signal getting through, i.e. Determine: P ((R n Ra)U R) Select one: O a. 0.352 O b. 0.240 O c. 0.200 O d. 0.060
Let E1,..., En be independent events. Prove that P(E, U ……U En) = 1 – ||[1 – P(E:)]. i=1

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Let n e N, c > 0. Suppose that A1,..., An and B1,...,Bn are two families of independent events in a probability space (2,2, P) such that Bk C Ak and : P(B¢) > P(A) for every k e {1,...,n}. Show that c· P(B1U…U Bn)> P(A¡UU An).