Question

A spinner has two equal sectors, coloured red and blue. a) Make a tree diagram to show the probability distribution for the number of times the spinner lands on blue when it is spun four times.

Answer 1

b)

Histogram 0.35 0.30- 0.25 P(X=x) 0.15 0.10 0.05 0.00 1 Em ENX

This is a binomial distribution question with
n = 4
p = 0.5
q = 1 - p = 0.5
where

P(X = x) = (n.)p"q" Type of x: 14 c) Since we know that Mean(por E(X)) = np Mean(por E(X)) = 4(0.5) Mean(uor E(X)) = 2.0

d)

It shows that on average it stops on blue 2 times