5)? a What is P(Y₁ < 1, ₂ > b What is P(Y₁+ Y₂ < 3)?

Q: 3. What is L (s+3)* S-5 4t. A. B. e2 +2e* e"t +2e 4 4t e°t +2e" C. e 37? +2e10r 3t 2 С. е e + 2e10t…

A:

Q: Suppose P(A) = 0.24 and P(B’ ) = 0.48   (a) Find P(A ∪ B) if A and B are independent. (b) Find…

A:

Q: (g) P(-1.70 sz≤ 2.00) 3 2 (h) P(1.46 ≤ Z ≤ 2.50) (1) P(1.70 s2) (1) P(IZI ≤ 2.50)

A: We will use Excel function to find the required probabilities based on Standard Normal distribution.

Q: 10. 2. dx o v4+x- V4+x2

A: The given intergral, ∫02dx4+x2

Q: In PCA, we obtain z E Rk from x E R" as follows: T z = u(1) y(2) u(k) Which of the following is a…

A: Given that,In PCA, we obtain z∈Rk from x∈Rn as follows:z=|u(1)| |u(2)| ...…

Q: b) I =f- x(1+(In x))

A:

Q: If C(11.n)=330, then n is equal to?

A: The combination formula is Cn,r=n!r!n-r!.

Q: Accepting the premises: r (q ^ s) 1. 2. pvr Conclude p. 3. ¬qVt 4. t^ s

A:

Q: 2 What does this equal? x+0

A: The addition is taking two or more numbers and adding them together, that is, it is the total sum of…

Q: 133. -Σ 2" Sn+ -(x + 2)" n=0

A: Consider the series, Rewrite this as Now take the constant outside,

Q: 5. Use the substitution method to evaluate So 3x²+2 x3 + 2x +37 dx.

A: Topic = Integration

Q: X ~ N (1, 4). Find the value of a since P(-2.5 <X ≤ a) = 0.90

A: Given:-       X~N1,4P-2.5&lt;X≤a = 0.90here ,μ = 1σ2 = 4σ=2 we have to find the value of a=?

Q: 1. Flip three coins and let Y be the number of heads that appears. Then flip Y coins and let X be…

A: Given Information: Three coins are tossed and Y is the number of heads that appear from this trial.…

Q: Z is N(0, 1), find values of c P(-0.91 ≤  Z ≤ c) = 0.8124. b. P(-c≤Z ≤ c) = 0.8686

A: Use EXCEL Procedure for finding the critical value of z to the left of its area.   Follow the…

Q: Q4/ A- If p (A) =0.4, p(B) 0.2 and p (An B) 0.1 determine the following properties P(A'), P (A U B),…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: f = xyz, C:r = [41, 312, 12t], Sketch C. M -2 ≤ 1 ≤ 2.

A: We shall use MATLAB to plot curve C.The MATLAB code to perform the given action is given…

Q: 1- 21 29. G(t) 3+

A: We have to find derivative

Q: prove that l+2 +3+.. +h = n(ntl) for n=1,2g3 2 %3D

A: Given :               1 + 2 + 3 + ... + n = n(n+1)2 Let P(n) :               P(n) = 1 + 2 + 3 + ...…

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: a) Р(X > х) %3D 0.5. X = i b) Р(Х > х) %3D 0.95. = X i с) Р(х < X < 9) — 0.2. X = i

A: GivenMean(μ)=9standard devaition(σ)=2

Q: Find Pr (|w| < 0.2)  where W ~ N (-1,4)

A: From the given information, W follows normal distribution with mean µ=-1 and variance σ2=4.

Q: The mean weight of male nurses working at a local hospital is less than 178 lbs. Express the null…

A: null hypotheses  H0 : μ = 178

Q: let X~N (20,0.36), if P(X<b) then the value of bis = 0.05

A: X~N(20,0.36) Mean(μ)=20 standard deviation(σ)=0.36

Q: (h) P(1.26 ≤ Z ≤ 2.50) (1) P(1.90 ≤ Z) (1) P(|Z| ≤ 2.50)

A: It is given that the standard normal random variable Z with mean 0 and variance 1.   Note: The…

Q: Q9) In University of California among the placement cell, P(students getting placed )=2n/9,…

A: P(students getting placed)=P(students not getting placed)=

Q: 11. Find the value of x. **Show work** (5x)º - (3x+28)º

A: Using same sides of angles are equal,

Q: If X~ Uniform(b, 1) and o² = 3μz, what is b? (a) -0.82 (b) 12.18 (c) 20.82 (d) 17.00 (e) None of the…

A: To find the value of&amp;nbsp;b, we first need to find expressions for the mean μX​ and…

Q: Given that P (A | B ') = 0.25, P (B | A') = 0.4 and P (B) = 0.6, P (AUB) =? what

A: It is given that,  P (A | B ') = 0.25, P (B | A') = 0.4 and P (B) = 0.6.  We have to find P (AUB).

Q: 28 X P(X=x) 2 0.10 3 0.20 4 0.30 5 0.40   P(X<4)=???        a) 0.40  B) 0.30  NS) 0.50  D)…

A: Given : The given probability distribution is X P(X=x) 2 0.10 3 0.20 4 0.30 5 0.40

Q: P(X ≤ 1). n = 5, p = 0.6

A:

Q: I dont understand how we go from P(B) = P(A) + P(B ∩ A') to P(B) ≥ P(A)

A: A,B  belongs to F  We have to prove that If A ⊂B then  P(A)≤ P(B)

Q: 4 Newten's method to find all Use in tersecticns of y= x² and y= z' = 2². The emer in the es…

A: Given curves are y=x2   and   y=2x For point of intersection,  x2 =2x Now, we have to find that…

Q: u(d) Let n = p,ª1. p2ª1... P,“r, then Edjn T(d) O This option O This option None of the choices

A:

Q: Consider throwing a die 5 times. Let X be the number of times the outcome is less than 3. Find P(X =…

A: Let p be the probability of getting number less than 3  Result used:  nCr=n!/(r!(n-r)!)…

Q: Given 2sin(x)= − 1, on the interval 10, 2], what is the value of x? 7개 11개 이뽕 {픔. ㅠ (픔·품] 6 6 7개 5개…

A: Solving the problem

Q: Show that 1 1 2 y? 2 = (y? – *)(2² – a²)(2² – y') 4,

A: We have to prove that  We will it by using the properties of determinants.

Q: 3. Let f(x)= x+ - 8x2. What are the critical number(s)? a. X = = 0, x=-4, and x = 4 b. x = -2 and x…

A: Given a function f(x), critical numbers of the function f(x) are the values of x for which f'(x)=0…

Q: 6. Which of the following is NOT true? vqa + vPaAg+1 (a) Ag (b) Ag:7| = An+I| +dA As (c) m/n Ar…

A: Given four expected value of assurance functions.

Q: 22) let XnN20, 036), iF P(X<W) = 0.05 th the value of wis

A: Given that, X~N(μ=20, σ=0.36) To find the value of W when P(X&lt;W)=0.05

Q: (d) n = 6,p= 0.1 %3D P(X > 3) = || Submit answer

A: I will use the excel formula "=BINOM.DIST(x, n, p, FALSE)" to find the probability. x n p Excel…