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Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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HOICE. Directions: Read each question carefully and choose the letter that best describes your answer. 1. Which of the following is a variable whose value is obtained by measuring? a. Continuous 2. You decide to collect a bunch of bottles of soft drink and measure the volume of soft drink in each bottle. Let X be the number of milliliter (ml) of soft drink in each bottle. What type of variable is X? a. X is a constant. b. Discrete c. Interval d. Nominal c. X is a discrete random variable d. X is a continuous random variable b. X is a place holder. 3. If a coin is tossed, what are the possible values of the random variable for the number of heads? а. 0, 1 4. Suppose you tossed two coins. What are the sample spaces ? а. НН, 5. A formula that gives a probability function. a. Continuous Probability Distribution. b. Discrete Probability Distribution. 6. The properties of a discrete probability distribution are a. 0s P(x ) <1 and E P(x)=D1 b. 02 P(x ) S1 and E P(x)3D1 7 What must be the sum of the probabilities P(X) of all the values in the discrete random b. 0, 1, 2 c. 1, 2, 3 D. 0,1,2,3 b. HH , TΗ, с. НН, НТ, ТТ d. HH, HT, TT, TH c. Partial Probability Distribution. d. None of the above. and c.0< P(x ) <1 and Σ P(x)1 d. 0< P(x ) <1 and Σ P(x)<1 variable? a. 1% b. 10% c. 100% d. 1 000% For numbers 8 - 10, use the given data: The numbers of boxes of face mask being sold by a pharmacy per day are 5, 6, 7, 8, 9, and 10 along with the probabilities of 0.2, 0.1, 0.1, 0.1, 0.2 and 0.3 respectively. 8. Based from the data given, more likely, how many boxes of face mask would the pharmac sell per day? a. 5 9. What is the mean of the discrete random variable? b. 6 c. 9 d. 10 b. 6.9 C. 7.9 d. 8.9 a. 5.9 1
Transcribed Image Text:HOICE. Directions: Read each question carefully and choose the letter that best describes your answer. 1. Which of the following is a variable whose value is obtained by measuring? a. Continuous 2. You decide to collect a bunch of bottles of soft drink and measure the volume of soft drink in each bottle. Let X be the number of milliliter (ml) of soft drink in each bottle. What type of variable is X? a. X is a constant. b. Discrete c. Interval d. Nominal c. X is a discrete random variable d. X is a continuous random variable b. X is a place holder. 3. If a coin is tossed, what are the possible values of the random variable for the number of heads? а. 0, 1 4. Suppose you tossed two coins. What are the sample spaces ? а. НН, 5. A formula that gives a probability function. a. Continuous Probability Distribution. b. Discrete Probability Distribution. 6. The properties of a discrete probability distribution are a. 0s P(x ) <1 and E P(x)=D1 b. 02 P(x ) S1 and E P(x)3D1 7 What must be the sum of the probabilities P(X) of all the values in the discrete random b. 0, 1, 2 c. 1, 2, 3 D. 0,1,2,3 b. HH , TΗ, с. НН, НТ, ТТ d. HH, HT, TT, TH c. Partial Probability Distribution. d. None of the above. and c.0< P(x ) <1 and Σ P(x)1 d. 0< P(x ) <1 and Σ P(x)<1 variable? a. 1% b. 10% c. 100% d. 1 000% For numbers 8 - 10, use the given data: The numbers of boxes of face mask being sold by a pharmacy per day are 5, 6, 7, 8, 9, and 10 along with the probabilities of 0.2, 0.1, 0.1, 0.1, 0.2 and 0.3 respectively. 8. Based from the data given, more likely, how many boxes of face mask would the pharmac sell per day? a. 5 9. What is the mean of the discrete random variable? b. 6 c. 9 d. 10 b. 6.9 C. 7.9 d. 8.9 a. 5.9 1
10 Which of the following statements best interpret the computed mean? a The pharmacy would sell more or less 8 boxes of face mask per day b. The pharmacy would sell more than 7 boxes of face mask per day. c. The pharmacy would sell exactly 7 boxes of face mask per day. d. The pharmacy would sell 8 boxes of face mask per day. 11. What percentage of the normal curve is u ± o ? а. 50% 12. 95% of the students at school weigh between 62kg and 90 kg. Assuming this data is normally distributed, what is the mean? a. 66 kg 13. A machine produces electrical components. 99.7% of the components have lengths between 1.176 cm and 1.224 cm. Assuming this data is normally distributed, what is mean? a. 1.190 cm 14. What is the area that corresponds to z-value, z = 1.25? a.0.3531 15. Which is the upper 10% of the nommal curve? a. z = 0.1554 16. Which is the correct probability notation for the area between z = -2 and z = -1.5? a. P(-2 < z< -1.5) b. P(-1.5 <z < -2) 17. What is being represented by z in the equation z = x-p/o ? a. Normal Random Variable b. Standard Normal Variable 18. Which symbol represents population mean? a. O 19. 11. What is z when X= 45, µ = 67, and o = 8? a. -2.75 20. Let z be a normal random variable with a mean of 0 and a standard deviation of 1. Determine P(z s 1.4). a. 0 b. 68% c. 75% d. 95% b. 72 kg c. 76 kg d. 86kg b. 1.200 cm c. 1.211 cm d. 1.219 c b. 0.3749 C. 0.3944 d. 04115 b. z = 1.28 C. Z = 1.54 d. z = 2.43 c. P(z < -1.5 +-2) d. P(-2 - 1.5 < z) c. Mean of the scores d. Standard Deviation b. X-bar C. U d. z b. -0.55 c. 0.55 d. 2.75 b. 0.0808 c. 0. 4192 d. 0.9192 Reviewed/Checked by: Noted by:
Transcribed Image Text:10 Which of the following statements best interpret the computed mean? a The pharmacy would sell more or less 8 boxes of face mask per day b. The pharmacy would sell more than 7 boxes of face mask per day. c. The pharmacy would sell exactly 7 boxes of face mask per day. d. The pharmacy would sell 8 boxes of face mask per day. 11. What percentage of the normal curve is u ± o ? а. 50% 12. 95% of the students at school weigh between 62kg and 90 kg. Assuming this data is normally distributed, what is the mean? a. 66 kg 13. A machine produces electrical components. 99.7% of the components have lengths between 1.176 cm and 1.224 cm. Assuming this data is normally distributed, what is mean? a. 1.190 cm 14. What is the area that corresponds to z-value, z = 1.25? a.0.3531 15. Which is the upper 10% of the nommal curve? a. z = 0.1554 16. Which is the correct probability notation for the area between z = -2 and z = -1.5? a. P(-2 < z< -1.5) b. P(-1.5 <z < -2) 17. What is being represented by z in the equation z = x-p/o ? a. Normal Random Variable b. Standard Normal Variable 18. Which symbol represents population mean? a. O 19. 11. What is z when X= 45, µ = 67, and o = 8? a. -2.75 20. Let z be a normal random variable with a mean of 0 and a standard deviation of 1. Determine P(z s 1.4). a. 0 b. 68% c. 75% d. 95% b. 72 kg c. 76 kg d. 86kg b. 1.200 cm c. 1.211 cm d. 1.219 c b. 0.3749 C. 0.3944 d. 04115 b. z = 1.28 C. Z = 1.54 d. z = 2.43 c. P(z < -1.5 +-2) d. P(-2 - 1.5 < z) c. Mean of the scores d. Standard Deviation b. X-bar C. U d. z b. -0.55 c. 0.55 d. 2.75 b. 0.0808 c. 0. 4192 d. 0.9192 Reviewed/Checked by: Noted by:
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