3. Suppose Pr(AUB) = 0.65, Pr(AUB) = 0.75. Find Pr(A).

Q: Suppose E(X) = 2, E(Y) = 18, a = 0.05, and b = 0.95. What is E(aX+bY)? (Please round to two decimal…

A: Given, E(X) = 2, E(Y) = 18, a = 0.05, and b = 0.95

Q: Letf(x) =−x3−cosxandp0=−1. Use Newton’s method to findp8.

A: Given fx=−x3−cosx and p0=−1   To find: p8 using Newton's method

Q: a) Ignore the birth weight (x). If the length of gestation are independently and identically…

A: Reviewing information, x={60,110,44,900,107} y={122,241,61,365,617} n=5 The fitted model…

Q: Given f (9) = 2, f' (9) = 6, g (9) = -1, and g' (9) = 8, find the values of the following. (a) (b)…

A: to find the values.

Q: Let y = √√x. y'' = y''' =

A:

Q: Suppose E(X) = 93, E(Y) = 95, a = 0.09, and b = 0.91. What is E(aX+bY)? (Please round to two decimal…

A: The objective of the question is to find the expected value of the linear combination of two random…

Q: Suppose E(X) = 100, E(Y) = 4, a = 0.91, and b = 0.09. What is E(aX+bY)? (Please round to two decimal…

A: The objective of this question is to find the expected value of a linear combination of two random…

Q: If P(A) = 0.61, P(B) = 0.48, and P(A or B) = 0.7, then P(A/B) = (Please round to two decimal…

A: P(A)=0.61, P(B)=0.48, P(A or B)=0.7

Q: if f(3)=4, g(3)=9, f'(3)=5, and g'(3)=6, find the following numbers: a. (fg)'(3)

A:

Q: Find the max or min value of /x) -3x + 6x + 4

A: We have to find the maximum or the minimum value of the following function -  f(x) = -3x2+6x+4

Q: Sn( Lin el0x=ydydx = In(5) fIn(3)

A: Given integral is ∫0ln5∫0ln3e10x−ydydx. We have to evaluate the double integral…

Q: −

A:

Q: 51. (a) 4 = -cı (b) c1(t) = 8e(-2/5)t g/L

A: (a) Given information: dc1dt=-25c It is first order seprable ODE

Q: If P(A) = 0.53, P(B) = 0.3, and P(A and B) = 0.15, then P(A/B) = (Please round to two decimal…

A: P(A)=0.53P(B)=0.3P(A and B)=0.15

Q: Use the quotient rule to show the following: If n is a negative integer, and g(x) = x" then g' (x) =…

A: Solving by Quotient rule we can get

Q: Suppose E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62. What is E(aX+bY)? (Please round to two decimal…

A: E(X) = 62, E(Y) = 91, a = 0.38, and b = 0.62.E(aX+bY)=aE(x)+bE(y)

Q: 35. f'(8) = - 64 64

A: Consider the following equation: y=-164x+14 Differentiate y with respect to x:…

Q: Suppose a student is a carrier of the flu virus and returns to his isolated campus of 1000 students.…

A:

Q: Suppose E(X) = 69, E(Y) = 91, a = 0.43, and b = 0.57. What is E(aX+bY)? (Please round to two decimal…

A: Given,E(X) = 69, E(Y) = 91, a = 0.43, and b = 0.57

Q: Suppose E(X) = 77, E(Y) = 48, a = 0.36, and b = 0.64. What is E(aX+bY)? (Please round to two decimal…

A: Given,E(X)=77E(Y)=48a=0.36b=0.64

Q: (2g (x) + 4) dæ = 22 and g (x) da = 12, then g (x) dæ 10 /3

A: Given; The integration of [2g(x)+4] limit from -1 to 3. And the integration of g(x) limit from 10 to…

Q: Suppose that Pr[A|B]=12, Pr[A]=1324, and Pr[B′]=512. Find Pr[B|A′].

A:

Q: Suppose E(X) = 71, E(Y) = 62, a = 0.23, and b = 0.77. What is E(aX+bY)? (Please round to two decimal…

A: The objective of this question is to find the expected value of a linear combination of two random…

Q: Suppose Var(X) = 42, and a = .92. What is Var(aX)?

A: Var(X) = 42, and a =0.92Var(aX)=a2Var(x)