Question

Find 𝑷(𝟐) and the value of 𝒌 in the following discrete probability distribution. Show your complete solution

x=0,1,2,3,4

p(x)=0.13,0.27,𝒌,0.09,0.12

(a) find 𝒌

(b) 𝑷(𝟐)

Answer 1

(a)

$$\sum _ip(x_i)=0.13+0.27+k+0.09+0.12=1$$

$$k=0.39$$

(b)

$$P(2)=0.39$$