If the sets A, are independent and P(U, A,)=1 then P[A i.o.] = 1. %3D

Q: d. ( 15 %3D -3 y

A: in this question formulas used are- X^a/X^b = X^a-b 1/X^a = X^-a

Q: A coin is tossed three times. Let X be the number of heads that turn up. Find V (X).

A: Given:A coin is tossed three times.X be the number of heads that turn up.

Q: Compute /16-³ dac

A: Solution of given question is written in below steps.

Q: Consider a random sample of n = 11 people who donated blood over the past three months. • The…

A: A random variable x will follow the binomial distribution if the following conditions are satisfied.…

Q: 1 Find Vf if f = 2 /x²+y² +z?

A:

Q: Suppose John tosses a coin 5 times. Let X be the number of heads. Calculate Pr(X = x) for x = 0, 1,…

A: if a coin is tossed once than the p=P(getting a head)=12=0.5Let X=no.of headsX~Binomial(n=5 ,…

Q: M (63° <E L

A: Circle

Q: Find all numbers z such that Az3 + Bz² + Cz = D %3D B = [2 4 21 1 1 1. A = 1 3 1. 1 -2 2 4 21 C li 3…

A:

Q: 5-solve for the unknown d (P,„P.) = /2ī d (P,P,) = 5 1. P,(x,2,3) P,(2,1,1) 2. P,(x ,x,1) P,(0,3,5)

A:

Q: dw 67. S w2/5

A:

Q: 2. Find the divections..in.w.hic . fCx,y) = X- a.. Increases.ms..rapidly.at. paint.C1). b. Decrenses…

A: Solution: The given function is fx,y=x22+y22    ......(1)

Q: Consider each of the following relations (x, y) ER, where x = {1, 2, 3, 4, 5} and y E N. Which of…

A:

Q: Differentiate. x ujX = A 2 In x O (In x)2 x U -x u No new data to save. O00 F5 000 F4 F2 F3

A:

Q: If A = {2,3} and B = {x|x EZ, x<3}, then A x B = Select one: O a. {(1,2), (1, 3), (2, 2), (2,3)} O…

A: If A=2, 3 and B=x x∈Z+, x&lt;3, then to determine A×B.

Q: A. Evaluate x'e dx

A:

Q: Let G = S4 and H = D4. Write down the distinct right cosets

A:

Q: Consider a random sample of n = 22 people who donated blood over the past three months. • The…

A: Given X=X= number of people who have blood type O+ Y=Y= number of people who have blood type A- Z=Z=…

Q: Determine if S3 e S3 is solvable.

A:

Q: If E, and E2 are measurable then (E,UE,) is not measurable .

A:

Q: The given table indicates the transactions at a bank for one teller for one day. Letting C represent…

A:

Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

A:

Q: At which angle is cos=-1?

A: Given cosθ=-1

Q: its saying that D is wrong and so is fxi

A: Right endpoint method: The area under the curve f(x) on the interval [a, b], withn rectangles is…

Q: Find U4,, Ñ4, , if A, = {0,1, 2, .}, A2 = {2,3, ...}, ., An = {n,n+ 1,. %3D

A: For 1st part we have A1 U A2 U......An ={0,1,2,3,.........}

Q: Let D = {-2, -1, 0, 1}. Let E = {0, 1, 2, 3}.

A: Answer

Q: Find the area of the region below f(t), above the t axis, and between t = 0 and t = 2.

A: Given: ft=t for finding area of region below ft, first we draw graph of it as below

Q: Find u x v, v x u, and v x v.

A:

Q: find u ·v.

A:

Q: The values for P(A₁B) and P(A₂B) were found to be 0.20 and 0.02, respectively. Use these values to…

A: The values for P(A1nB) and P(A2nB) were found to be 0.20 and 0.02 P(A1nB) = 0.20 P(A2nB) = 0.02 Find…

Q: 1. State the properties of the Bassel function.

A: Here are some properties of Bassels Function

Q: 9. Let X Bin(4,.30), compute a. P(X=0) b. P(X= 1) C. P(X= 4)

A: Given that  Success of probability p=0.3 , q=1-p=0.7 Number of trials n=4 X~binomial (n,p)…

Q: Find the distance between m [-2, 3, 2,0,3, – 13, –5] and n = [4, –1,1, –5, 0, 11, –3].

A:

Q: Ex Fnd そ イーx S=a i

A:

Q: Suppose W-Exp(5). What is P(W>1)? Round to 4 decimal places.

A: Given that W follows exponential distribution with mean 5.

Q: Let S={(0,-1,1),(0,-2,-1),(1,1,2)}.

A: S?

Q: (:) If rank of A is r and if B : , then the rank of B is: C ar O b. 2r Od.0

A: Given, the rank of matrix A is r. Then we have to find the rank of the matrix B=AA.

Q: How to find P value from z and how to make decision about reject or not Ho.

A: Test statistic- A hypothesis test is characteristically specified by a test statistic, considered as…

Q: 2 Determine if the following statement is true or false. Motivate your answer. If Re(:) > Re(w) and…

A:

Q: To say that two variables are confounded means that? Only one answer A) they both vary at the same…

A: Confounding variable: Confounding variable is a third variable that has impact on both dependent and…