Exercise 4.32. The nth factorial moment of a random variable Y is defined as the expectation E[Y(Y −1)···(Y −n+1)]. (a) Suppose that Y ∼ Poisson(μ). Find an exact expression for the nth factorial moment of Y . Hint. Use a similar argument as the one used in the proof of Fact 4.18. (b) Compute the third moment E(Y 3) of Y ∼ Poisson(μ).

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

the answer for this question is 38

the answer to this is:

factor 2x2+16x+24

2x2+16x+24

=2(x+2)(x+6)

answer:

2(x+2)(x+6)

hope this hmu if needed