Probability and Stats

Question

The proportion of voters who prefer Candidate A is . An organization conducts a poll of  voters.Let  represent the number of voters polled who prefer Candidate A. Complete the table below, which is a cumulative probability distribution.

F(x)=P(X<x)

x(0)=

x(1)=

x(2)=

x(3)=

x(4)=

x(5)=

Answer 1

P(x) = ₅C_x p^x(1-p)^x where ₅C_k is the 5 items k at a time n!/((n-k)!k!)

F(0) = P(0)

F(1) = P(0) + P(1) = F(0) + P(1)

F(2) = P(0) + P(1) + P(2) = F(1) + P(2)

and so on