Suppose a bin contains 20 manufactured parts and 4 of them are defective. Pick 3 parts randomly from the bin, with replacement and let X be the number of defective parts picked. Pick parts repeatedly from the bin, with replacement, and let Y be the number of picks until the rst defective part is observed. Find the probability mass functions for X and Y .

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

idkidkdidkdkdidkx

step-by-step explanation:

nndncnd cnn

snddnd

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)