6. Suppose that X is an Exponential with rate 1 and that, given X = x, Y is an Exponential with rate x. Hence Y is an Exponential with a random rate. Show that P(Y > 1) = 1/2.

Q: メ+1

A:

Q: 5 -100 12 8

A: Solve the given

Q: 1/3+2/9

A: Given 1/3 + 2/9

Q: 24 12 XD

A:

Q: 6.5+ 4

A: To simplify given

Q: 6 Find mLABE. (3x +4) (5x-2)*

A:

Q: 196. 2(n+1)

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: 2

A: The Laplace inverse can be found by splitting the expression into three parts as it have power of 3…

Q: 9/12+3/24

A:

Q: 9 b and c

A: b) We check if the denominator is 0 for any value of x.  2x2+5=0 2x2=-5 x2=-5/2 (not possible) So…

Q: Find A.

A:

Q: How many terms are there in the expansion of (4.x + 7y)0.+ (4x- 7y)10 ?

A:

Q: Finding the LCM of 4,5

A: Given,            LCM of 4,5.

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: 12 16

A: We know that If a perpendicular is drawn from the vertex of right angle triangle of a right triangle…

Q: 57-24

A: Given that: 57-24

Q: 4.122

A: Given Information: a) Suppose each lot contains 10 items, you decide to sample 4 items per lot and…

Q: 18(9+7)+3

A: 18(9+7)+3

Q: 3. 2-1 da

A: Use the product rule to determine the derivative for the given…

Q: 9 tmes 8

A: 9 times 8 means adding 8 upto 9 times or multiply 8 by 9.

Q: 6. 8.

A: Pythagorean Theorem:                  Pythagoras theorem states that  "In right angled triangle ,…

Q: 12 10 6. X%=

A:

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.