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A standard deck of cards has 52 cards. The cards have one of 2 colors: 26 cards in the deck are red and 26 are black. The cards have one of 4 denominations: 13 cards are hearts (red), 13 cards are diamonds (red), 13 cards are clubs (black), and 13 cards are spades (black). Each suit has 3 face cards (King, Queen, Jack). a) Two cards are selected at random and the color is recorded. The correct sample space S for the set of possible outcomes is (Select) Schect A, S = [red, black] one B. S = [(red, red), (red, black), (black, red), (black, black)] C. S = {0, 1, 2] D. S = [red, black, hearts, diamonds, clubs, spades] b) Two cards are selected at random and the denomination is recorded. The event H is defined as the event that the first card is hearts. Event H is ( Select v A. H = [diamonds, clubs, spades] B. H = [hearts, diamonds, clubs, spades] C. H = [(hearts, diamonds), (hearts, clubs), (hearts, spades)] D. H = [(hearts, diamonds), (hearts, clubs), (hearts, spades), (hearts, hearts)] c) A card is picked at random: Let F: the event the card is a face card B: the event the card is a black card. The probability that the card is black AND a face card is |( select ) A. P(Fn B) = B. P(Fn B) = C. P(FU B) = D. P(FU B) = P(F) + P(B) = d) A card is picked at random: Let B: the event the card is black T: the card shows a two. The probability that the card is a black OR shows a two is |[ select) A. P(BUT) = P(B) + P(T) =2 B. P(BUT) = P(B) + P(T) - P(BOT) = C. P(BUT) = P(B) P(T B) =32 D. P(BOT) = P(B) . P(T) = 2704A standard deck of cards has 52 cards. The cards have one of 2 colors: 26 cards in the deck are red and 26 are black. The cards have one of 4 denominations: 13 cards are hearts (red), 13 cards are diamonds (red), 13 cards are clubs (black), and 13 cards are spades (black). Each suit has 3 face cards (King, Queen, Jack). a) Two cards are selected at random and the color is recorded. The correct sample space S for the set of possible outcomes is |(Select ] A, S = [red, black] B. S = [(red, red), (red, black), (black, red), (black, black)} C. S = [0, 1, 2] D. S = [red, black, hearts, diamonds, clubs, spades] b) Two cards are selected at random and the denomination is recorded. The event H is defined as the event that the first card is hearts. Event H is ( select) A. H = [diamonds, clubs, spades] B. H = (hearts, diamonds, clubs, spades] C. H - {(hearts, diamonds), (hearts, clubs), (hearts, spades)] D. H = [(hearts, diamonds), (hearts, clubs), (hearts, spades), (hearts, hearts)] c) A card is picked at random: Let F: the event the card is a face card B: the event the card is a black card. The probability that the card is black AND a face card is |( select] A. P(Fn B) = 52 B. P(FB) = 12 C. P(FU B) = D. P(FU B) = P(F) + P(B) = d) A card is picked at random: Let B: the event the card is black T: the card shows a two. The probability that the card is a black OR shows a two is [ select ] A. P(BUT) = P(B) + P(T) = B. P(BUT) = P(B) + P(T) - P(BOT) = C. P(BUT) = P(B)P(T B) = 32 D. P(BnT) = P(B) . P(T) = 2704A standard deck of cards has 52 cards. The cards have one of 2 colors: 26 cards in the deck are red and 26 are black. The cards have one of 4 denominations: 13 cards are hearts (red), 13 cards are diamonds (red), 13 cards are clubs (black), and 13 cards are spades (black). Each suit has 3 face cards (King, Queen, Jack). a) Two cards are selected at random and the color is recorded. The correct sample space S for the set of possible outcomes is (Select] A, S = [red, black] B. S= [(red, red), (red, black), (black, red), (black, black)] C. S = [0, 1, 2] D. S = [red, black, hearts, diamonds, clubs, spades] b) Two cards are selected at random and the denomination is recorded. The event H is defined as the event that the first card is hearts. Event H is ( select) A. H = [diamonds, clubs, spades] B. H = (hearts, diamonds, clubs, spades] C. H = [(hearts, diamonds), (hearts, clubs), (hearts, spades)] D. H = [(hearts, diamonds), (hearts, clubs), (hearts, spades), (hearts, hearts)] c) A card is picked at random: Let F: the event the card is a face card B: the event the card is a black card. The probability that the card is black AND a face card is ( select) select A. P(Fn B) = B. P(Fn B) = 12 C. P(FUB) = 12 D. P(FU B) = P(F) + P(B) = d) A card is picked at random: Let B: the event the card is black T: the card shows a two. The probability that the card is a black OR shows a two is [ select] A. P(BUT) = P(B) + P(T) = B. P(BUT) = P(B) + P(T) - P(BOT) =2 C. P(BUT) = P(B)P(T B) = 52 D. P(BnT) = P(B) . P(T) = 2704A standard deck of cards has 52 cards. The cards have one of 2 colors: 26 cards in the deck are red and 26 are black. The cards have one of 4 denominations: 13 cards are hearts (red), 13 cards are diamonds (red), 13 cards are clubs (black), and 13 cards are spades (black). Each suit has 3 face cards (King, Queen, Jack). a) Two cards are selected at random and the color is recorded. The correct sample space S for the set of possible outcomes is Isckat A, S = [red, black] B. S = [(red, red), (red, black), (black, red), (black, black)] C. S = [0, 1, 2] D. S = [red, black, hearts, diamonds, clubs, spades] b) Two cards are selected at random and the denomination is recorded. The event H is defined as the event that the first card is hearts. Event H is |( select! V A. H = [diamonds, clubs, spades] B. H = [hearts, diamonds, clubs, spades] C. H = [(hearts, diamonds), (hearts, clubs), (hearts, spades)] D. H = [(hearts, diamonds), (hearts, clubs), (hearts, spades), (hearts, hearts)] c) A card is picked at random: Let F: the event the card is a face card B: the event the card is a black card. The probability that the card is black AND a face card is |I select ) A. P(Fn B) = 52 B. P(Fn B) = 2 C. P(FU B) = 12 D. P(FU B) = P(F) + P(B) = d) A card is picked at random: Let B: the event the card is black T: the card shows a two. The probability that the card is a black OR shows a two is [ select] Select A. P(BUT) = P(B) + P(T) = n P B. P(BUT) = P(B) + P(T) - P(BOT) = 2 C. P(BUT) = P(B) P(T| B) = 32 D. P(BnT) = P(B) . P(T) = 270Question 10 10 pts A college professor teaches two history courses. a) In one certain history class, the scores on a certain exam are normally distributed with mean u = 80 and standard deviation o = 4. Chris scores an 85 on this exam. Chris's z-score is (Write your answer up to two decimal places). b) In the second course, the scores on the history exam are normally distributed with mean u = 85 and standard deviation o = 6. Soraya scores an 90 on this exam. Soraya's z-score is (Write your answer up to two decimal places) c) Relative to their own exam score distributions, scored better. (Choose the correct name to answer in words. Chris or Soraya) d) Using part b. if another student has scored 2 standard deviations below the mean on the second history exam (u = 85 and standard deviation o = 6), they have scored on the exam.In the following scenarios, decide which is the predictor (independent) variable and which is the response (dependent) variable. a) A group of adults aged 20 to 80 were tested to see how far away they could first hear an ambulance coming towards them. The relationship between distance (in feet) and age is being analyzed. The predictor variable is distance and the response variable is [ select ] Select hearing loss distance b) It is known that there adults aRe veen the final exam score and the midterm exam score for students who take statistics from a certain professor. The predictor variable is ( Select ] v and the response variable is [ select )In the following scenarios, decide which is the predictor (independent) variable and which is the response (dependent) variable. a) A group of adults aged 20 to 80 were tested to see how far away they could first hear an ambulance coming towards them. The relationship between distance (in feet) and age is being analyzed. The predictor variable is distance and the response variable is |[ select ] Select ] adults agod 20-80 distance b) It is known that there is an association between the final exam score and ambulance hearing loss core for students who take statistics from a certain professor. The predictor variable is (Select ] and the response variable is [ Select ]In the following scenarios, decide which is the predictor (independent) variable and which is the response (dependent) variable. a) A group of adults aged 20 to 80 were tested to see how far away they could first hear an ambulance coming towards them. The relationship between distance (in feet) and age is being analyzed. The predictor variable is distance and the response variable is [ select ) b) It is known that there is an association between the final exam score and the midterm exam score for students who take statistics from a certain professor. The predictor variable is ( Select ] and the response variable is [ select ) I select midterm scom statistics course final exam score students us professorIn the following scenarios, decide which is the predictor (independent) variable and which is the response (dependent) variable. a) A group of adults aged 20 to 80 were tested to see how far away they could first hear an ambulance coming towards them. The relationship between distance (in feet) and age is being analyzed. The predictor variable is distance and the response variable is [ select ] b) It is known that there is an association between the final exam score and the midterm exam score for students who take statistics from a certain professor. The predictor variable is (Select ] and the response variable is [ select ) [ Select ] statistics students final exam score