Question

The probability distribution for the number of cards owned is given below:

Number of cards: 0 1 2 3 4 5

Probability: 0.06 0.31 0.28 0.15 0.12 0.08

1) Show that above table is valid probability distribution

2)What is the expected value of number of cards owned by random person?

3)What is the probability that randomly selected person has less than 3 cards?

Answer 1

Number o casd 4 5 O O.3) Piobaliltty P) D.06 Foom piobakoi tuty Tule total poobability equal to O.06+0 31+0-28 + DolS+0-102+0.0 satiftied total ip conalition to yequal Probatoildy Probablty clistzibuctfon y Lualid a) The Expectzal Lwalee ob no. o casds Tamdorn pensan y Owned by ECx) loxo.06)+ Lixo.31)+ lex o.28)+/3x D-IS) +(4x0.12)+(5 x0.08) o-48 to.4 0+6.3/+D.56 + 0.45+

ELx) ip expectid Lalere 3) probabiluty that amalomly The tham Seluctid person hay 3 casd P LE) o.06 0.31 +D.28 = 0.65