ASSIGNMENT 1

1)A five sided spinner has edges numbered -1,1,1,2,3 and a die has faces numbers-1,-1,0,2,2,3. The spinner is spun and the die is rolled. The score is the value on the spinner minus the value of the die

(i)Find the probability of getting a score of 0

(ii)Find the probability that getting a 0 required more than 5 attempts

(iii)Find

2)A three sided spinner with edges numbered 1,1,2 and a four sided spinner with edges numbered -1,0,1,2 are spun together and the values on the edges on which they land are noted. Arandom Variable X is defined as the sum of the two values on which the spinners land.

(i)Find the probability of getting a total score of 3

(ii)Find the probability that getting a 3 requires more than 4 spins

(iii)Find the probability that getting a 3 requires at-most 4spins

(iv)Draw the probability distribution table for X

v)Find the mean and variance of X