5C.2 Given the data below, determine the independent variable.

Distracted time (minutes)	10	18	23	25	30
Length of a class (minutes)	50	70	100	160	200

5E.1 What is the most likely relation between the following two variables: The demand of houses and the price of houses? (correlation or causality)

5E.2 Given the correlation between the age of person and time spent on social networking sites. State whether the correlation is positive or negative. Explain your reasoning.

6A.1 Find the mean for the given data set {65.4, 70.25, 75.75, 80.5, 80.5, 88.25, 90.25, 90.75}.

6A.2 Find the median for the given data set {13.45, 12.7, 10.65, 13.5, 11.85, 12.08}.

6A.3 Find the mode(s) for the data set {12, 12, 15, 24, 25, 28, 28, 45, 49, 49}

6B.1 Find the standard deviation for the given data set {62, 66, 70, 75, 77, 83, 88, 92, 92, 95}

6B.2 Find the 5-number summary - the minimum (min), first quartile (Q1), second quartile (Q2), third quartile (Q3), and the maximum (max) given the data set {3.25, 0, 9.75, 3.5, 8.25, 1.27, 2.5, 5.25, 0.75, 1.75}.

6C.1 State and explain whether you would expect the following data set to be normally distributed: The times of runners at the Olympic marathon.

6C.2 The weights of apples in the fall harvest are normally distributed, with a mean weight of 160 grams and standard deviation of 12 grams. What is the percentage of apples between 136 and 172 grams?

7A.1 Find the probability for the event of at least one "4" if rolling a die twice.

7A.2 An experiment consists of rolling a pair of fair six-sided dice and observing the number of dots that show on the upper faces. What is the theoretical probability that an experiment results is a sum = 4?

7A.3 Susan rolls a pair of six-sided dice and sum the dots that show on the upper faces. Susan rolls 20 times. The results are as follows: 3, 5, 8, 10, 5, 8, 2, 9, 3, 7, 6, 4, 11, 5, 7, 4, 3, 5, 8, 12.

(a) What is the empirical probability that an experiment results is a sum = 4 according to the 20 outcomes?

(b) Can you justify the difference between the theoretical and empirical probability calculated in 7A.2 and part (a) for rolling a sum of 4? Does this result lead you to believe that the dice were fair? Why or why not?

7A.4 An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a black 8?

7B.1 Find the probability of getting a 10 or a Heart if drawing a card from a standard deck of 52 cards.

7B.2 Find the probability of getting one or two Heads if tossing a coin twice.

7B.3 Find the probability of getting 10 Heads if tossing a coin 10 times.

7C.1 Expected value is calculated by multiplying each possible outcome or value by its associated probability, and then sum them up. Jon pays $10 to play a game in which he rolls a die once. If a 1 or 2 comes up (probability=2/6), he wins $6. If a 3 or 4 or 5 comes up (probability=3/6), he wins $12. If a 6 comes up (probability=1/6), he wins $18. What is Jon's expected winning value? Since Jon pay $10 to play the game. What is the expected value of playing the game? (Hint: the expected winning value - losing value ($10)) Will you play the game? why or why not?