Each problem is worth 10 points. Show all calculations.
1. The probability of rolling a 2 on a die is (1/6). Does this probability mean that, if a die is rolled six times, one 2 will appear? If not, what does it mean?
2. Of the last 60 people who went to the cash register at Kmart, 10 had blond hair, 25 had black hair, 15 had brown hair, and 10 had red hair. Determine the empirical probability that the next person has:
a. Red hair
b. Brown hair
c. Blond hair
3. In the United States, more male babies are born than female. In 1998, 2,264,031 males were born and 2,187,419 females were born. Find the empirical probability of an individual being born male.
4. A die is rolled. Find the probability of rolling
a. A 1
b. An odd number
c. A number greater than 2
5. A deck of playing cards consists of 52 cards. It consists of four suits: hearts, diamonds clubs, and spades. Each suit has 13 cards. Each suit has numbered cards 1 through 10, the jack, queen, king, and ace. One card is to be selected at random from the deck of cards. Find the probability that the card selected is:
a. A 6
b. A diamond
c. Greater than 4 and less than nine.
6. Find the mean, median, and mode of: 2, 2, 4, 8, 10, 11, 11, 11, 36
7. Find the mean, median, and mode of: 7, 9, 12, 13, 11, 13, 16, 18