A joint sample space for two random variable X and Y has four elements (1, 1), (2, 2), (3, 3), (4, 4). Probabilities of these elements are 0.1, 0.35, 0.05, 0.5 respectively. The probability of the event {X < 2.5, Y < 6} a. 0.45 b. 0.50 c. 0.55 d. 0.6

Q: Suppose A and B are events in a sample space with P(A) = 0.62, P(B) = 0.67, P(BU A) = 0.91 Find the…

A: Given A and B events of a sample space where; P(A)=0.62P(B)=0.67P(B∪A)=0.91 (a) We know by addition…

Q: Q. Two fair standard dice are rolled together and the random variable X returns the sum of the two…

A: Let's consider the possible outcomes when rolling two dice. Each die has six faces numbered from 1…

Q: A random experiment has the four outcomes {a,b,c,d) with probabilities p(a)=0.2, p(b)=0.3 and…

A: Given that: Four outcomes of an experiment = {a,b,c,d}  Probability of each outcome:…

Q: A and B are two events. If P(A) = 0.20. P(B) = 0.31. P(A/B) = 0.62. Find P(A and B)?

A: Answer: From the given data, P(A) = 0.20 P(B) = 0.31 P(A|B) = 0.62

Q: If A and B are independent events and P(A)=0.25 and P(B)=-0.333, what is the probability P(ANB)?…

A: It is given that P(A) = 0.25, P(B) = 0.333

Q: Suppose A and B are events in a sample space with P(A) = 0.6, P(B) = 0.65, P(BUA) = 0.84 Find the…

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Q: bê évents in a sample space with P(A) = r, P(B) = y, and P(ANB) = z. Express each of the following…

A: Given Let A and B be events in a sample space P(A) = x, P(B) = y, P(A∩B) = z.  x= 0.17,y = 0.13 ,…

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: A sample space consists of five simple events with P(E₁) = P(E₂) = 0.2, P(E) = 0.45, and P(EA) =…

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Q: If A and B are independent events such that P(A) = 0.4 and P %3D

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: If A, and B are two independent events such that P(A) = 0.6 and P(B) = 0.5. Then P(AUB) is equal to…

A: Given  P(A)=0.60, P(B)=0.50 and P(AUB)=?

Q: Suppose C and D are events in a probability space, with probabilities P(C) = 0.2400, P(D) = 0.1300,…

A: Given Suppose C and D are events in a probability space, with probabilities P(C) = 0.2400, P(D) =…

Q: A and B are two events. If P(A) =0.27, P(B) =0.30, P(A|B) =0.50 Find the P(A and B') ?

A: Answer: From the given data, P(A) = 0.27 P(B) = 0.30 P(A | B) = 0.50

Q: A student is randomly selected for a studio production from a small HBCU college campus . Events are…

A: Given that,  H = {the student is light skinned}  E = {the student is dark skinned}

Q: Two events A and B have the following probabilities: P (A) = 1/2, P (B)= 3/8, and P (A N B) = 1/4.…

A: For events A and B, it is given that, P(A) = 1/2, P(B) = 3/8, and P(A ∩ B) = 1/4.

Q: Suppose a random excitement has a sample space of {a, b, c, d, e}. The probabilities of ‘a’ , ‘b’ ,…

A: The sample space is given as follows:The probabilities of the elements are given as follows:Element…

Q: Let A and B be two events with probabilities P(A) = 0.6, P(B) = 0.4 and P(A and B) = 0.2. (a) Find…

A: Given:  P(A) = 0.6 P(B) = 0.4 P(A and B) = 0.2 Plug in all the given values in the above formula.

Q: Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that…

A: Given that, Customers at a gas station pay with a credit card (A), debit card (B), or cash (C).…

Q: Consider two independent events A and B.Suppose it is known that P(A)=0.27 and P(A or B)=0.5474.…

A:

Q: If two random variables X and Y are statistically independent, then: Var (X+Y) = Var (X) + Var (Y).…

A: For two random variables X,Y the Variance of their linear combination is given by, Var(aX+bY) =…

Q: if a and b are independent events with P9A)=0.4 and P(B)=0.5, then P(A or B)=?

A: If a and b are independent events, thenPA and B=PA∩B=PA.PB=0.4×0.5=0.2

Q: Given P(A and B) = 0.17, P(A) = 0.21, and P(B) = 0.81 are events A and B independent or dependent?…

A: Two events A and B are called independent if  P(A and B)= P(A)*P(B)

Q: The probabilities of two events A and B are P(A) = 0.5 and P(B) = 0.3 respectively. If P( A U B ) =…

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Q: Suppose A and B are events in a sample space with P(A) = 0.61, P(B) = 0.66, P(BUA) = 0.93 Find the…

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Q: Find the indicated value.   79! 76! · 3!

A:

Q: Of three events, A, B, and C, suppose events A and B are independent and events B and C are mutually…

A: Note : according to our guidelines we can answer only d subpart Given three events, A, B, and C,…

Q: A random experiment has the four outcomes {a,b,c,d) with probabilities p(a)=0.2, p(b)=0.3 and…

A: Answer is 1 1. 0.4 2. 0.5 3. 0.8 4. 0.5 5. 1  6. 0.3

Q: et A and B be two events in a sample space U, such that: P(A) = 0.55, P(B) = 0.25 and P(AuB) = 0.60…

A: a) The union probability for any two events A and B is defined as P(A ∪ B) = P(A)  + P(B) – P(A ∩…

Q: P(E:) = 25, P (E>) = 1 An experiment results in one of five sample points with probabilities P P(E)…

A:

Q: A and B are both events in sample space S.   P(A)=0.4 P(B)=0.3 P(A and B) =0.2   What's the…

A: A and B are both events in sample space S. Given, P(A)=0.4 P(B)=0.3 P(A and B) =0.2

Q: Two events A and B have the following probabilities: P (A) = 0.4, P (B)= 0.5, and %3D P (A and B) =…

A: Given that P(A) = 0.4, P(B) = 0.5 and P(A and B) = 0.3

Q: Let E and F be two events of an experiment where P(E) = 0.45, P(F) = 0.12 and P(EnF) = 0.04. Then…

A:

Q: If A and B are any two events with P(A) = .3 and P(BIA) = .5, then the joint probability of A and B…

A: Solution-: Given: P(A)=0.3, P(B/A)=0.5  We want to find P(A and B)=?

Q: Which of the following probabilities for the sample points A, B, and C could be true if A, B, and C…

A: According to the given information in this question We need to identify the correct option

Q: What's the expected value of X and Y? A modified deck of cards is created with two 2s, three 3s,…

A: A modified deck of cards is created with two 2s, three 3s, four 4s, and five 5sTotal number of cards…

Q: = 0.2 and P(B) = 0.4, then %3D If A and B are two independent events where P(A) P(AN B) = O 0.2 O…

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Q: Let A and B are two event of a sample space S and let P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9. Find…

A: We have given that  P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9 P(A and B) = P ( A ∩ B)

Q: P(A and B) =

A:

Q: Two events A and B are such that P(A / B) = 0.5, P(AN B)= 0.15,P(A or B ) = 0.65. Find P(AN B).…

A: