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: 5 -100 12 8

A: Solve the given

Q: 6.5+ 4

A: To simplify given

Q: 196. 2(n+1)

A:

Q: expand (a-b)7

A: The solution is given in the next step.

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: 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: 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: What is the product of 3 and 3?

A: To find the product of given irrational numbers.