Question

i need to know and explain how to get P(x)? please.

Five pencils are in a box. Three of them are yellow and two are blue. Suppose that we randomly grab two pencils and let X = the number of yellow pencils among those selected. a) Find a probability distribution for X b) Find the expected value and variance of X (I=1910) X P(x) Xpx) x² xp) 1 2 .6 .3 16 .6 6 1.2 4 02= 1.8 -(1,2)2 = 1.8 - 1.44

Answer 1

iven penadls o box are and 3 ar Yellow and 2 arc bluc Xno of Yellow pency among thosc selected 2 penei select o blx) from 26luey Plx) O Yellow Pencl) 2C2 502 O.1 SxF2 yellow 3C1 20k 6 - O.6 penil 10 from 3 yelbw we neadl l from 2 6lucs we need

2yello from 3yelluws 2Vellow pendly - 2 3c O3 )E() olo1) C04)+2 03) olo1) + 1C06)+2 1o3) 2 x(PR) qllx Voriane-Exp(x)- XPx a llx oo1)10-6)tulo3) 12 1.8-1.2 - 0.6