X and Y are independent events. P(X)=0.3; P(Y)=0.4. Find (a) P(X and Y) (b) P(X | Y) (c) P(Y | X) (d) P(X or Y)

Q: C(n,r) = r! Use combinations to compute the probability that both balls are white. Compute the…

A: Given Two balls are drawn at random from an urn containing five white eight red balls.

Q: Let A and B be events such that P(A)=.P(B)= and P(AUB)= 5. 10 (a) Find P(A|B) (b) Find P(A|B') (c)…

A:

Q: U and V are mutually exclusive events. P(U)=0.38 ; P(V)=0.36 Find P(U | V) =

A:

Q: Pr[A]=7/9 Pr[B]=2/9 Pr[a|A]=3/5 Pr[b|A]=2/5 Pr[a|B]=1/3 Pr[b|B]=2/3 Find the following missing…

A: 1) Pr[B]=29 [given]2) Pr[b]=Pr[A and b]+Pr[B and…

Q: Possible values of X, the number of components in a system submitted for repair that must be…

A: The question formating is not good, but i have solve this problem already in the past so i know the…

Q: If f(x) = 4x-5 if -4≤x≤2 3 x-2 (a) f(0) = (b) f(1) = (c) f(2)= (d) f(6)= if2<x≤6 find: (a) f(0), (b)…

A: The given function is

Q: 16. Find the following probabilities c. If X- N(25,25), find P(19< X < 24)

A:

Q: The values of x and their probabilities are listed below.  Calculate the intermediate products to…

A: x P(x) xP(x) 32 0.07 2.24 34 0.12 4.08 36 0.24 8.64 38 0.25 9.5 40 0.32 12.8 Total…

Q: Possible values of X, the number of components in a system submitted for repair that must be…

A: E(x) =ex .p(x) Ex) =(!X 0.05 )+(2*0.45 )+(3*0.05)+(4*0.45) E(X) =0.05+0.9+0.15+1.8 =2.9

Q: A class contains 30 students. The probability of failing in one of the courses for each student is…

A: Without loss of Generality this is a two independent variable's  simple case of Binomial…

Q: lergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at…

A: d) We have to find P(N and W),P(M and W) e)P(N or M)=? We have to check whether events N and M…

Q: J and k are independent events. J given k =0.56. Find p(j)

A:

Q: (8) X and Y are independent events. P(X)=0.3; P(Y)=0.4. Find (d) P(X or Y) (9) Repeat the previous…

A: " Or" indicates union.

Q: Leila owns a pizza shop. She determines the number of pizza boxes that are sold per day. Probability…

A: It is given the probability distribution of number of pizza boxes sold per day We need to check if…

Q: J and K are independent events. P(J | K) = 0.17. Find P(J) P(J) =

A:

Q: For mutually exclusive events R₁, R₂, and R3, we have P(R₁) = 0.05, P(R₂) = 0.4, and P(R3) = 0.55.…

A: There are three mutually exclusive events , we have the following probabilities of these…

Q: 5. Let P be a probability measure and A, B two events. Show that |P(An B) – P(A)P(B)| < . Hìnt: Show…

A:

Q: In an elementary study of synchronized traffic lights, consider a simple four-light system. Suppose…

A: Answer:

Q: Given events X and Y with these probabilities P(X ∪ Y ) = 0.7 = 7/10 P( Y - X) = 0.3 = 3/10 P(Y ∩…

A:

Q: U and V are mutually exclusive events. P(U)=0.15 ; P(V)=0.49 Find P(U orV) =

A: Two events U and V are said to be mutually exclusive events when both cannot occur at the same time.

Q: For mutually exclusive events R₁, R₂, and R3, we have P(R₁) = 0.05, P(R₂) = 0.5, and P(R3) = 0.45.…

A: R1, R2and R3 be three mutually exclusive events.  P(R1)= 0.05P(R2)= 0.5P(R3)= 0.45P(Q|R1)=…

Q: J and K are independent events. P(J | K) = 0.19. Find P(J) P(J) =

A: Given,     The objective is to find the P(J).

Q: 6. The prosecutor's fallacy. Let G be the event that some accused person is guilty, and 7 the event…

A: We have to show that the P(G|T)=P(T|G) iff P(G)=P(T)

Q: Q-4:(a) Tossa 4 coins IS-imes and wride your outcomes, what will be the pababilily.of getring…

A: Given that 4 coins are tossed 15 times.

Q: 3. Let X = (X1, X2) be an ordered pair that takes the points (-1,1), (0,0), and (1,1) with…

A:

Q: Maddy waits tables and has determined that 12% of her tables leave her 12 percent tip, 30% of her…

A: x P(x) xP(x) 12 0.12 1.44 15 0.3 4.5 18 0.48 8.64 20 0.1 2 Total 1 16.58

Q: J and K are independent events. P(JK) = 0.3. Find P(J).

A: Two events J and K are given.

Q: (d) Find P(1 Y ≤ 3|X= 1), P(Y ≤ 2|X ≤ P(X=2|Y= 3). (e) Find E(Y|X= 1) and Var(Y|X=1). H 2), and

A:

Q: playing games of backgammon until one player has won four games, at which point that player is…

A:

Q: U and V are mutually exclusive events. P(U) = 0.23 P(V) = 0.37  Find: P(U AND V) =           P(U |…

A: Given ,U and V are mutually exclusive event .it means . both event U and V cannot occur at thesame…

Q: For any two events A and B with P(B) > 0, prove that P (AC |B) = 1 - P(A/B)

A: Given two events A and B with P(B) &gt; 0.Using formulas,

Q: (d) If we define the events A and B by: A = {(X,Y):2(Y – X) > Y + X} Determine P(Ān B).

A: To find the probability of the said event please repost the question with the respective probability…

Q: A class contains 35 students. The probability of failing in one of the courses for each student is…

A:

Q: U and V are mutually exclusive events. P(U)=0.55 ; P(V)=0.32 Find P(U AND V) =

A: Two events are said to be mutually exclusive events, if two events can not occur simultaneously.

Q: For mutually exclusive events R₁, R₂, and R3, we have P(R₁) = 0.05, P(R₂) = 0.5, and P(R3) = 0.45.…

A: P(R1) = 0.05P(R2) = 0.5P(R3) = 0.45P(Q|R1) = 0.5P(Q|R2) = 0.7P(Q|R3) = 0.4P(R1|Q) = ?

Q: Consider the utility function: U(w) = a + bw + cw?. (a) What restrictions must be placed on a, b,…

A:

Q: For mutually exclusive events R₁, R₂, and R3, we have P(R₁) = 0.05, P(R₂) = 0.3, and P(R3) = 0.65.…

A: Given that, The events R1,R2,R3 are mutually exclusive…

Q: E and F are mutually exclusive events. P (E) = 0.91; P(F) =0.42 . Find P (E| F )

A: Given, p(E) = 0.91 , p(F) = 0.42And E and F are mutually exclusive events, it means

Q: J and K are independent events. P(J | K) = 0.23. Find P(J)

A: From the provided information, J and K are independent events and P(J|K) = 0.23