(d) Exponential: f (y; θ) = 1θ exp{− yθ } for y > 0 and θ > 0.

Let Y1, . . . , Yn iid∼ f (y; θ). For the following densities f , find:• the moment estimator of θ;• the MLE of θ;(a) Poisson: f (y; θ) = θy exp{−θ}y! for y ∈ {0, 1, 2, . . . } and θ > 0

Instructions: Graph the following function. Then, state whether the function represents exponential growth or decay.y=11x𝑦=11𝑥This function is exponential

Which of the following statements is true about the exponential function ℎ given by ℎ𝑥=-3·4𝑥 ?Responsesℎ is always increasing, and the graph of ℎ is always concave up.h  is always increasing, and the graph of  h  is always concave up.ℎ is always increasing, and the graph of ℎ is always concave down.h  is always increasing, and the graph of  h  is always concave down.ℎ is always decreasing, and the graph of ℎ is always concave up.h  is always decreasing, and the graph of  h  is always concave up.ℎ is always decreasing, and the graph of ℎ is always concave down.

The graph of the exponential function h in thexy-plane, where y h x= ( ), has a y-intercept of d,where d is a positive constant. Which of thefollowing could define the function h

Instructions: Graph the following function. Then, state whether the function represents exponential growth or decay.y=(45)x𝑦=(45)𝑥This function is exponential