Exponential Expectation (a) Let X ∼ Exp(λ). Use induction to show that E[X k ] = k!/λ k for every k ∈ N. (b) For any |t| < λ, compute E[e tX] directly from the definition of expectation. (c) Using part (a), compute ∑ [infinity] k=0 E[X k ] k! t k . (d) Let M(t) = E[e tX] be a function defined for all t such that |t| < λ. What is dM(t) dt t=0 ? What is d 2M(t) dt2 t=0 ? How does each of these relate to the mean and variance of an Exp(λ) distribution?

answer: 1,380

step-by-step explanation:

1: you turn %15 into a decimal by moving the decimal point two places to the left.

2: and then you multiply .15 by 1,200 , which will get you 180.00

3: from there you will add 180 to 1,200

4: which will get you 1,380

hope it *im kind of slow so idk if my answer is right*

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

a) 0

step-by-step explanation:

i^413 x i^0 = 0 as any number multiplied by a zero is

happy to

pls mark as brainliest.