Let A and B be two events in a sample space S with P (A) = 0.6, P (B) = 0.3 and P (A U B) = 0.7 Find P (AB) %3! 13 in10 23 O O O 5.

Q: S = {HH, HT, TH, TT} of equally likely simple events. We are interested in the following events: E₁…

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Q: Let A and B be two events defined on a sample space S such that p(A) = 0.3, p(B) = 0.5, and P (AUB)…

A: Given that P(A)=0.3, P(B)=0.5, P(A U B)=0.7

Q: Q. 3 A parking lot has 10 parking spaces arranged in a row. There are 7 cars parked. Assume that…

A: Total number of parking spaces = 10 Number of cars parked=7

Q: 2.4 Let A and B be two events of the same sample space. If P(A|B) P(A) then the events A and B are…

A: Solution- Given that A and B are two events  P(A|B)=P(A)then the event A and B are always…

Q: Balls are labelled 2, 3, 5, 6 and 8 then are placed in a raffle box. Two balls are chosen without…

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Q: Let S be a given sample space and let E and F be two events that have no common outcome and their…

A: Probability of two events:It is given that E and F are the two events in sample space, S. The…

Q: An insurance company covers 100$ per day for the first day of staying in a hospital, and 50$ per day…

A: It is been asked to calculate the expected amount that the company will pay using the given…

Q: 1.1 Let A and B be two events of the same sample space. If P(A) – 0.2, P(B) – 0.3 and P(AN B) – 0.1,…

A: As per our guidelines we are supposed to answer only one question per post so I am solving first…

Q: 13. An accounting office has six incoming tele- phone lines. The probability distribution of the…

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Q: 7A. Given X is a binomial random variable, determine P(5(less than or equal to)X(less than)8).  a.…

A: Given X is a binomial random variable, determine P(5(less than or equal to)X(less than)8).

Q: Let A and B be the two events of a sample S such that PLAUB) =0.90, P(ANB)=0.35,P(NA) = 0.30 Find…

A: By using the given information, we have Let A and B be the two events of a sample S

Q: Let E and F be two events of an experiment with sample space S. Suppose P(E) = 0.5, P(F) = 0.4, and…

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Q: Given that P(A) = 0.47, P(B) = 0.07, and P(A and B) = 0.0329, are events A and B %3D %3D %3D…

A: Solution:- From given information p(A)=0.47p(B)=0.07p(A and B)=0.0329

Q: if A, B are two event in sample space . if P(A) = 2 P(B) = 3 P(AN B) find P(A|B) Select one: a. • .…

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Q: The sample space of an experiment is S = {a, b, c, d, e} while the probability of obtaining each of…

A: Given that the sample space is S={a, b, c, d, e}. That is, Pa+Pb+Pc+Pd+Pe=1 P(a)=P(b)=P(c)+P(e)=1/8…

Q: Suppose A and G are events in the same sample space for some experiment. If we know Pr[A] = 0.7 and…

A: Thank you 😊

Q: #a sample ofn-4 scores is obtained from a population with a- 70 ande 12 what is the zscoe…

A: Given : μ = 70 , σ= 12 and n= 4 By Central Limit Theorem, M follows a Normal distribution with…

Q: Q1. In a company, it is reported that 62% of employees are concerned about their health con- dition…

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Q: Consider an experiment with sample space S = {A,B,C}. If P(A)=0.3, P(B)=0.5, and P(C)=0.2, then (a)…

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Q: Consider an experiment with sample space S = {A,B,C}. If P(A)=0.6, P(B)=0.2, and P(C)=0.2, then (a)…

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Q: 1.3 Let A and B be two events of the same sample space. If A and B are independent and P(A) = 0.5…

A: Given,P(A)=0.5P(A∩B)=0.1and A , B are independent events

Q: Consider a random experiment that involves tossing three coins at a time. Let A = Observing exactly…

A: Since we only answer up to 3 subparts , we will answer the first 3. Please resubmit the question and…

Q: Q1. A sample space consists of five simple events with Consider the events defined as follows Find…

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Q: For the following example, identifyn, p, q,X(where X is denoting the random variable)and P(__?_)…

A: We have to find the binomial probabilities.

Q: Suppose X is a random variable with possible values -2,-4 and 2 and with respective probabilities…

A: Solution: From the given information, the probability distribution of X is

Q: Suppose A and B are events in a sample space S, and P(A|B) 3 and P(B) 4 What is P(An B)? !! %3D…

A: Here given that P(A|B)=3/7 and P(B)=4/5. We need to find Probability of Intersection of A and B.

Q: Consider the sample space S = { O1,  O2,  O3,  O4 } and the events E = { O2,  O3,  O4 } and F = {…

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Q: Determine the value/s of the random variable in each of the following situations: 1. A family has…

A: Given : 1. A family has three children. Let W be the number of boys in the family This is a…

Q: a) Find the P(A), P(B) and P(C), write the answers on the space provided.  b) Find B' and P(B') c)…

A: Suppose , the sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, ...E7 denote the sample…

Q: Consider the following random experiment: we toss a two-sided coin (H on one side and on the other…

A: Given that a two side coin tossed with P(head)=0.3 & n=3616

Q: EA and B be events defined on the same sample space such that pA)=0.5. P(AUB)=0.9. and P(AnB)=0.4…

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Q: Suppose that the proportions of blood phenotypes in a particular population are as follows: AB 04 42…

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Q: 2.3 Let A and Bbe two events af the same somple space. If A and Bare independent and P(A) = 0.5 and…

A: P(A)=0.5, P(A⋂B)=0.20 P(B)=?

Q: If A,B are two independent event in a sample space , if P(A) = 0.7, P(B) =0.6. Find P(AU B) Select…

A: According to the given information, we have P(A¯)=0.7P(B¯)=0.6

Q: Suppose that the response time X of a subject to a stimulus is N(15, 16). If n-16, then the…

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Q: Suppose A and C are events in the same sample space for some experiment. If we know Pr[A] = , Pr[C]…

A: P(A)=P(C)=P(AC)=

Q: Q1. The table below shows voters choose at random between African American and African American…

A: Given: The data given is shown below   Republican Democrats Total African American 4 12 16…

Q: Let A. B and C be events from a common sample space such that: P(A) = 0.72, P(B) = 0.56, P(C) =…

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