1."Diagrams do not add anything to the meaning of statistics but when drawn and studied intelligently they bring to view the salient characteristics of graph." Explain.[3]

2.2. At a raffle, 1500 tickets are sold at $2 each for four prizes of $500, $250, $150, and $75.You buy one ticket. What is the expected value of your gain? [5]

3. A survey indicates that people use their cellular phones an average of 1.5 years before buying a new one. The standard deviation is 0.25 year. A cellular phone user is selected at random. Find the probability that the user will use their current phone for less than 1 year before buying a new one. Assume that the variable x is normally distributed. [4]

4. Write the claim as a mathematical sentence. State the null and alternative hypotheses, and identify which represents the claim.

(a) A school publicizes that the proportion of its students who are involved in at least one extracurricular activity is 61%.

(b) A car dealership announces that the mean time for an oil change is less than 15 minutes. [2]

5. The regression equation for the Old Faithful data is. Use this to predict the time until the next eruption for each of the following eruption durations.

(a) 2 minutes

(b) 3.32 minutes [3]

6. You roll a six-sided die. Find each probability.

(a) Rolling a 5 or a number greater than 3 (b) Rolling a 2 or an odd number [3]