Problem 5. : and the following 13 denominations: Ace, 2 thru 10, Jack, Queen, and king). A full deck contains 52 cards. A single card has three characteristics: suit, denomination (5 points) A typical deck of cards has 4 suits (, and colour. examples: [King of , is red] or [4 of &, is black] etc. (a) Say 4 cards are selected from the deck of 52, without replacement. Let X be the number of 's drawn. What is the standard deviation of X, SD[X] =? SD[X] = (use at least four digits after the decimal point if rounding) (b) If 29 cards are selected from the deck of 52, with replacement and you are also told the number of & 's drawn is at most 8 but at least 5, what is the probability there will be exactly 6 & 's drawn. HR UU Probability = (use at least four digits after the decimal point if rounding) TURI spring assignment 3/19 Spring assignment 3: Problem 19 Previous Probler Problem List Next Problem (1 point) The amounts of 6 restaurant bills and the corresponding amounts of the tips are given in the below. Assume that bill amount is the explanatory variable and tip amount the response variable. Bill 64.30 32.98 49.72 88.01 43.58 97.34 Tip 7.70 10.00 5.50 16.00 4.50 5.28 (a) Find the correlation:r = (b) Does there appear to be a significant correlation? A. No B. Yes (c) The regression equation is y = (d) If the amount of the bill is $55, the best prediction for the amount of the tip is $ Note: Enter your answer as a number xx.xx (0) According to the regression equation, for every $5 increase in the bill, the tip should DECREASE) by (Enter INCREASE or Note: You can earn partial credit on this problem. Problem 5. : and the following 13 denominations: Ace, 2 thru 10, Jack, Queen, and king). A full deck contains 52 cards. A single card has three characteristics: suit, denomination (5 points) A typical deck of cards has 4 suits (, and colour. examples: [King of , is red] or [4 of &, is black] etc. (a) Say 4 cards are selected from the deck of 52, without replacement. Let X be the number of 's drawn. What is the standard deviation of X, SD[X] =? SD[X] = (use at least four digits after the decimal point if rounding) (b) If 29 cards are selected from the deck of 52, with replacement and you are also told the number of & 's drawn is at most 8 but at least 5, what is the probability there will be exactly 6 & 's drawn. HR UU Probability = (use at least four digits after the decimal point if rounding) TURI spring assignment 3/19 Spring assignment 3: Problem 19 Previous Probler Problem List Next Problem (1 point) The amounts of 6 restaurant bills and the corresponding amounts of the tips are given in the below. Assume that bill amount is the explanatory variable and tip amount the response variable. Bill 64.30 32.98 49.72 88.01 43.58 97.34 Tip 7.70 10.00 5.50 16.00 4.50 5.28 (a) Find the correlation:r = (b) Does there appear to be a significant correlation? A. No B. Yes (c) The regression equation is y = (d) If the amount of the bill is $55, the best prediction for the amount of the tip is $ Note: Enter your answer as a number xx.xx (0) According to the regression equation, for every $5 increase in the bill, the tip should DECREASE) by (Enter INCREASE or Note: You can earn partial credit on this
