Solve the following:

1) Find the probability of getting a blue marble at random from a box containing 4

yellow marbles, 3 green marbles and 7 blue marbles. [2]

2) A bag contains red, green and yellow pegs. A peg is taken at random from the

bag.

(a) Find the probability that it is yellow if the probability that it is red is 0.35 and the

probability that it is green is 0.4. [2]

(b) If there are 20 green pegs, what is the total number of pegs in the bag? [2]

3) Find the value of z and interpret what it means for the following given data points:

a) The mean of your normal distribution is equal to 100. The standard deviation

of your normal distribution is equal to 15. Your raw score X is 130. [3]

b) The mean of your normal distribution is equal to 100. The standard deviation

of your normal distribution is equal to 15. Your raw score X is 70. [3]

4) Given a normal distribution with a mean of of 300 and a standard deviation of 50,

find the probability that X assumes a value greater than 362. [5]

C. Give the three corresponding interpretations when the z-score is: [3]

(a) zero

(b) positive

(c ) negative