Let A = {r € N :3< x < 16} and B= {r € N:r is even}. a. Find An B. b. Find A – B.

Q: if Z= とan'Y final dž In Point C!,!)

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Q: 2. All are allowable values of x in y = ÷cscx except. c. a. d. R b.-

A: We are asked to find all allowable values of x in y=12csc x

Q: b) Consider the following simple AR (1) model Y: = u + Ø1ye + u, Show that the unconditional mean of…

A: # Given: AR(1) model  yt=mu+@1 yt+ut  where ut is white noise then to find unconditional mean of yt

Q: Given s(t) = t3 − 5t + 8, evaluate. s(−1)

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Q: Given P(E or F) = 0.02, P(E) = 0.28, and P(F) = 0.50, what is P(E and F)?

A: Given,  P(E or F)=0.02 , P(E) = 0.28, P(F)=0.50, P(E and F)=? According to the Addition property of…

Q: Let X-bin(7,0.57), then P(X=2) is equal to: O a. 0.1 O b. 0.325 O c. 0.234

A: Binomial distribution allows us to compute the probability of observing specified number of events…

Q: (b) Complete the entries in the table to report Ax, Ay, and Ay on the intervals from x = 37 to 47,…

A:

Q: The wholesale price p of e-tablet writing styluses in dollars is related to the supply x in…

A: 400p2-x2=1599 here given quantity is x=1000 units = 1 thousand 400p2-12=1599 400p2-1=1599…

Q: Given P(E or F) = 0.72, P(E) = 0.22, and P(E and F) = 0.04, what is P(F)?

A: Here we need to find P(F).

Q: 10, elseunére Y= amount ok pollutant Per Sample callected a buve the Stack Wthout the cleaning devie…

A: Given  fy1,y2=1   , 0≤y1≤2 , 0≤y2≤1 , 2y2≤y10   ,  elsewhere

Q: (a) Suppose X~ Uniform(0,2). Use the definitions to find E[X] and Var(X).

A: GivenSuppose X~Uniform 0,  2. Use the definitions to find       Ex  and   Var X

Q: Let X - N(H, o). Show that the MGF of X is etu+to²

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Q: Let H„(x) = (-1)" -w that h, E L² (R). , x € R, n E No, and let h„(x) dan e H„(x)e¯

A: Given: Hnx=-1nex2dndxne-x2 x∈ℝ, n∈ℕ0 This is a Hermite polynomial function. hnx=Hnxe-x22 To…

Q: Let Z = min[X, Y]. P[Z <= 5] ? E[Z] ? P[X < Y]?

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Q: Given P(E or F) = 0.12, P(E) = 0.22, and P(F) = 0.18, what is P(E and F)?

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Q: suppose that p(E) = .15, p(F) = .45, and p(F/E) = .70.  question: What is p(E/F)?

A: Solution: From the given information, Then,

Q: . Suppose p is false, q is false, s is true. Then (svp is T/F? A True False

A: p is True q is False s is True Now, the statement s∨q is True if at least one of s and q is True.…

Q: M&Ms tries to maintain a certain percentage of each color in a bag of M&Ms because they believe that…

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Q: In the set-up of Example 11.1, evaluate P(R = r, Y = y) for all possible values of R and Y. Use your…

A: Here, balls are drawn without replacement. Hence, the joint PMF of R: The number of red balls, and…

Q: Suppose m min{2x for x e [3, 4]}, then the value of m is Answer:

A:

Q: Given P(E)=0.49, P(F)=0.34,and P(E and F)=0.15, what is P(E or F)?

A: GivenP(E)=0.49P(F)=0.34P(E∩F)=0.15

Q: The table below lists the chemicals together with the other chemicals with which each cannot be…

A:

Q: 10 Suppose that Pr[A|B] = , Pr[B|A] = , and Pr[A'] = Find Pr[A n B']. 21 15 11

A: From Pr[A'] we find Pr[A]

Q: Given that X~B(12,0.15) fine E(X) and Var (X).

A: Solution: From the given information, X follows binomial distribution with parameters n=12 and…

Q: A management consultant estimates that the number h of hours per day that employees will work and…

A:

Q: Given X = 45, ? ̅=52, and s = 8. Compute for the corresponding z-score.

A: Given :  x = 45  Mean (x ) = 52Standard deviation (s) = 8

Q: Ho: 2.72 children H1: 2.72 children Calculate the test statistio, to

A: First we need to compute the Mean and Standard deviation of the grouped data provided to us : X…

Q: Given P(E) = 0.13, P(F) = 0.47, and P(E and F) = 0.05, what is P(E or F)?

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Q: ay use a tile 123 4 5 6 5,9 0 0 8 7,0 05 6 4, 5 7 5 6 1, 8 6 2 Peter listed his car for sale at $31…

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Q: Given P(E or F) = 0.83, P(E) = 0.44, and P(E and F) = 0.18, what is P(F)?

A: P(E or F) = P(E) + P(F) - P(E and F)

Q: If price P is bigger than AVC, the decision for the firm is to continue production even at a loss. O…

A:

Q: 3. ВCSolve e(у'+1)-хе". Hint: Let z=x+y

A: Given: e-yy'+1=xex So, we can also write as: e-yy'+1=xexdydx+1=xexe-ydydx+1=xex--y...We know…

Q: Let X-bin(18,0.6), then P(5 <= X < 10) is closest to:

A: Given,A random variable X~Binomial(18 , 0.6)P(X=x)=18x 0.6x1-0.618-x P(X=x)=18x 0.6x0.418-x    ;…

Q: Given P(E or F)=0.87, P(E)=0.14, and P(E and F)=0.19, what is P(F)?

A: We have given that,  P(E or F) = 0.87, P(E) = 0.14                              and P(E and F)= 0.19…

Q: Given P(E) = 0.45, P(F) = 0.47, and P(E and F) = 0.12, what is P(E or F)?

A:

Q: 1 Assume that Pr[A]=0.45 Pr[B]=0.65, and Pr[A∩B]=0.25  A. Pr[B Compliment ∩ A]= B. Pr[A Compliment…

A: Given, Pr[A]=0.45 Pr[B]=0.65 Pr[A∩B]=0.25

Q: Suppose, X|0~ Binom(10,0) and o~U (0, 0.25), then E(Y)is equals to, a) b) 2.15 1.25 5.02 10.06

A: Answer: b) 1.25.

Q: Given P(E or F) = 0.82, P(F) = 0.32, and P(E and F) = 0.13, what is P(E)?

A: P(E or F) = 0.82 P(F) = 0.32 P(E and F) = 0.13 P(E)=?

Q: Given P(E) = 0.14, P(F) = 0.16, and P(E and F) = 0.16, what is P(E or F)?

A: Concept of General Addition Rule: For any two events E and F the General Addition Rule states that:

Q: A steel ball is heated to a temperature of 100°C and then placed immediately in a place, which is…

A:

Q: Given P(E) = 0.49, P(F) = 0.34, and P(E and F) = 0.03, what is P(E or F)?

A: Given Data: P(E) = 0.49 P(F) = 0.34 P(E and F) = 0.03

Q: Given P(E or F)=0.55, P(F)=0.18, and P(E and F)=0.13, what is P(E)?

A: Formula : P(E or F) = P(F) + P(F) - P(E and F)

Q: Frieda is indifferent between alternatives I, II, and III as shown below. 24 Hours of Pain Pay…

A: Given:

Q: For each of the statements below, indicate if it is true or false. You do not have to provide an…

A:

Q: If c belongs to the interval (2, 5] but c does not belong to the interval [2, 5), then what is the…

A: Intervals.

Q: 2. Which of the following option is suitable, if A is “10110110”, B is “11100000” and C is…

A: A=10110110 B =11100000 C =10100000 clearly B grater than A. and A is greater than C.

Q: If N = 18 and α = 0.052 tailed, the value of Tcrit is _________.

A: Given DataN = 18α = 0.052 Degree of freedom = 18 – 1 = 17t-critical For One tailed testt 0.052,18-1…

Q: suppose that p(E) = .15, p(F) = .45, and p(F I E) = .70.  What is p(E I F)?

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Q: Interpreting Pearson's r <0.2 102 O = very weak relationship stationali.

A: x 33 31 32 28 33 26 34 32 28 27 y 6 4 4 1 3 3 4 2 3 2 r =…