Below is Susan's graph of the equation y = 2x. 5 4 3 2 3 4...
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Below is Susan's graph of the equation y = 2x. 5 4 3 2 3 4 5 -3 5 Respond to each of the questions below. 1. What are the coordinates for the two red points? 2. What is the slope of the line? 3. What is the y intercept for the line? 4. Using the slope and the y intercept write the equation of the line. 5. Has Susan graphed her equation correctly? Why or why not. -V2 97 2. Flip a fair coin twice. Let H: the coin lands on a head; T: the coin lands on a tail. S = {(H, H), (H, T), (T, H), (T, T)) Find: a. P(both are H) b. P(1* is T U 2nd is H) c. P(both are T at least one T) d. P(2nd is H both are T) e. P(at least one H | 2nd is T) 3. Randomly select one card from a well shuffled deck of cards. Let A: the select card is an ace; D: the select card is a diamond. Find: a. P(A) b. P(D) c. P(An D) d. P(AUD) e. P(AD) f. P(DA) Two cards are being randomly selected without replacement. a. What's the probability that both cards are ace? b. What's the probability that the first card is a red king and the second card is a black king? 4. Rolling two dice. Let X:: faced value of the 1" die; Xx: faced value of the 2nd die; Y: the sum of two dice. Find: a PCX₁ = 3 n X² = 6) b. P(x₁=5 UX₂ = 1) 5. Given P(E)= 0.25, P(F) = 0.6, and PE U F) = 0.7. Find: a. What is P(En F)? b. Are event E and event F mutually exclusive? Justify your answer. c. Are event E and event F independent? Justify your answer. Below is Susan's graph of the equation y = 2x. 5 4 3 2 3 4 5 -3 5 Respond to each of the questions below. 1. What are the coordinates for the two red points? 2. What is the slope of the line? 3. What is the y intercept for the line? 4. Using the slope and the y intercept write the equation of the line. 5. Has Susan graphed her equation correctly? Why or why not. -V2 97 2. Flip a fair coin twice. Let H: the coin lands on a head; T: the coin lands on a tail. S = {(H, H), (H, T), (T, H), (T, T)) Find: a. P(both are H) b. P(1* is T U 2nd is H) c. P(both are T at least one T) d. P(2nd is H both are T) e. P(at least one H | 2nd is T) 3. Randomly select one card from a well shuffled deck of cards. Let A: the select card is an ace; D: the select card is a diamond. Find: a. P(A) b. P(D) c. P(An D) d. P(AUD) e. P(AD) f. P(DA) Two cards are being randomly selected without replacement. a. What's the probability that both cards are ace? b. What's the probability that the first card is a red king and the second card is a black king? 4. Rolling two dice. Let X:: faced value of the 1" die; Xx: faced value of the 2nd die; Y: the sum of two dice. Find: a PCX₁ = 3 n X² = 6) b. P(x₁=5 UX₂ = 1) 5. Given P(E)= 0.25, P(F) = 0.6, and PE U F) = 0.7. Find: a. What is P(En F)? b. Are event E and event F mutually exclusive? Justify your answer. c. Are event E and event F independent? Justify your answer.
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