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7. Which of the following random variables is discrete? a. W=duration of travel (in minutes) from house to school b. X = proportion of failing subjects of a student in a semester c. Y = number of business permits issued each month in Makati d. Z = weight of dog food (in kilograms) supplied by a certain pet store per month

7. Which of the following random variables is discrete? a. W=duration of travel (in minutes) from house to school b. X = proportion of failing subjects of a student in a semester c. Y = number of business permits issued each month in Makati d. Z = weight of dog food (in kilograms) supplied by a certain pet store per month

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Please answer items 7-11 only
4. The random variable X = number of tweets posted in the past hour is a discrete random variable. A. True B. False 5. The number of rapid tests administered in ast three months is a continuous random variable. A. True B. False 6. If X is A. Ide B. False tinuous random variable with E(X)=5 and Var(X)=25, then P(X=5 )=0.5. 7. Which of the following random variables is discrete? a. W=duration of travel (in minutes) from house to school b. X = proportion of failing subjects of a student in a semester c. Y = number of business permits issued each month in Makati d. Z = weight of dog food (in kilograms) supplied by a certain pet store per month 8. Which of the following random variables is continuous? a. Z = number of food packs distributed per barangay during quarantine b. W = count of Netflix users in a household c. Y = amount of money spent during the 6.6 online sale d. X = number of Tiktok videos watched per day 9. Consider the random experiment of tossing a fair die twice. Let X be defined as the sum of the numbers in the two tosses. How many mass points does X have? a. 11 b. 36 c. 6 d. 12 10. Let X be a discrete random variable. Which of the following is NOT true? a. P(X> a) = P(X ≥ a) b. P(X> a) # P(X ≥ a) c. P(X <a) = 1 - P(X ≥ a) d. P(X> a) #1 - P(X <a) 11. Suppose you are given a 15-item multiple choice quiz with four choices each, ten of which you know the correct answer. If X is the total number of correct answers, what are the possible values of X? a. {0, 5, 10, 15} b. {10, 11, 12, 13, 14, 15} c. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} d. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
Transcribed Image Text:4. The random variable X = number of tweets posted in the past hour is a discrete random variable. A. True B. False 5. The number of rapid tests administered in ast three months is a continuous random variable. A. True B. False 6. If X is A. Ide B. False tinuous random variable with E(X)=5 and Var(X)=25, then P(X=5 )=0.5. 7. Which of the following random variables is discrete? a. W=duration of travel (in minutes) from house to school b. X = proportion of failing subjects of a student in a semester c. Y = number of business permits issued each month in Makati d. Z = weight of dog food (in kilograms) supplied by a certain pet store per month 8. Which of the following random variables is continuous? a. Z = number of food packs distributed per barangay during quarantine b. W = count of Netflix users in a household c. Y = amount of money spent during the 6.6 online sale d. X = number of Tiktok videos watched per day 9. Consider the random experiment of tossing a fair die twice. Let X be defined as the sum of the numbers in the two tosses. How many mass points does X have? a. 11 b. 36 c. 6 d. 12 10. Let X be a discrete random variable. Which of the following is NOT true? a. P(X> a) = P(X ≥ a) b. P(X> a) # P(X ≥ a) c. P(X <a) = 1 - P(X ≥ a) d. P(X> a) #1 - P(X <a) 11. Suppose you are given a 15-item multiple choice quiz with four choices each, ten of which you know the correct answer. If X is the total number of correct answers, what are the possible values of X? a. {0, 5, 10, 15} b. {10, 11, 12, 13, 14, 15} c. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} d. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
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