Suppose that Y1, Y2, . . . , Yn denote a random sample from the Poisson distribution with mean λ.
a Find the MLE ˆλ for λ.
b Find the expected value and variance of ˆλ.
c Show that the estimator of part (a) is consistent for λ.
d What is the MLE for P(Y = 0) = e−λ?

dhhghghghhrhbb it 5

d

step-by-step explanation:

answer: d. $20

step-by-step explanation:

just took the test

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

-2

7 - 9 = -2

reversed:

-2 + 9 = 7