Roll two fair dice. Each die has six faces. A. Let A be the event that the first die is odd and the second is a 4, 5, or 6. P(A) = Present your answer as a decimal. B. Let B be the event that the sum of the two dice is a 10. P(B) = Round your answer to three decimal places. C. Are A and B mutually exclusive events? D. Are A and B independent events? Hint Example Video on Probability Textbook Pages

A special deck of cards has 10 cards. Four are green, three are blue, and three are red. When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin. A. How many elements are there in the sample space? B. Let A be the event that a green card is picked first, followed by landing a head on the coin toss. P(A) = Present your answer as a decimal number. C. Let B be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive? D. Let C be the event that a green or blue is picked, followed by landing a head on the coin toss. Are the events A and C mutually exclusive? Hint Example Video on Probability Textbook Pages

An experiment consists of first rolling a die and then tossing a coin: A. How many elements are there in the sample space? B. Let A be the event that either a 1, 2, 3 or 4 is rolled first, followed by landing tails on the coin toss. P(A) = Present your answer as a decimal rounded to two decimal places. C. Let B be the event that an even number is rolled, followed by landing tails on the coin toss. Are the events A and B mutually exclusive? Hint Example Video on Probability Textbook Pages

J and K are independent events. P(J | K) = 0.23. Find P(J) Hint Textbook Pages

A special deck of cards has 20 cards. Nine are green, seven are blue, and four are red. When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin. A. How many elements are there in the sample space? B. Let A be the event that a red card is picked first, followed by landing a tail on the coin toss. P(A) = Present your answer as a decimal number. C. Let B be the event that a green or blue is picked, followed by landing a tail on the coin toss. Are the events A and B mutually exclusive? D. Let C be the event that a green or red is picked, followed by landing a tail on the coin toss. Are the events A and C mutually exclusive? Hint Example Video on Probability Textbook Pages

Suppose that you have 11 cards. 5 are red and 6 are black. The cards are well shuffled. You randomly draw two cards with replacement. • R1 = first card drawn is red • R2 = second card drawn is red Hint Video on Independent Events Textbook Pages P(R1 AND R2) = Round your answer to two decimal places. P(At least one red) = Round your answer to two decimal places. P(R2|R1) = Round your answer to two decimal places. Are R1 and R2 independent?

The following are the number of pages 13 randomly selected books from the library: 423, 578, 207, 339, 506, 118, 290, 431, 580, 319, 389, 425, 198 The mean is: (Round to the nearest whole number). The sample standard deviation is: (Round to the nearest whole number). The first quartile is: (Round to the nearest whole number). The median is: (Round to the nearest whole number). The third quartile is: (Round to the nearest whole number). Find the number of pages for a book that is 2 sample standard deviations above the mean. (Round to the nearest whole number). A new 400 page book will soon be purchased by the library. How many standard deviations from the mean is this new book? (Round to two decimal places). Hint Video on Statistics and the TI 84 Calculator Textbook Pages

The statistics below shows the full time equivalent student (FTES) count for the history of Lake Tahoe Community College. What is the IQR? Check all that apply. Hint Textbook Pages

Consider the boxplot below. What quarter has the smallest spread of data? What is that spread? What quarter has the largest spread of data? What is that spread? Find the Inter Quartile Range (IQR): Which interval has the most data in it? What value could represent the 52nd percentile? Hint Video on Constructing and Interpreting Box Plots Textbook Pages

The statistics below shows the full time equivalent student (FTES) count for the history of Lake Tahoe Community College. A sample of 8 years are taken. What is the best prediction for the numbers of these years that have fewer than 1014 FTES? 25% of all years had at least how many FTES? 25% of all years had at most how many FTES? What percent of all the years had between 1014 and 1447.5 FTES? percent. What is the population standard deviation? How many standard deviations above the mean is the third quartile? Round your answer to three decimal places. Hint Textbook Pages