pls answer all the questions
Directions: Read each statement carefully. Choose only the letter of your choice. Write your 12. What is the variance of the probability distribution? answer in a separate piece of paper. a. 4.15 b. 6.35 C. 8.00 d. 7.50 1. These are data obtained through a counting process. For numbers 13-15, refer to the problem below. a. Continuous b. Discrete c. Qualitative d. Quantitative 2. Which of the following does not belong to the group? The tourism department has been evaluating its new tagline promo to attract tourists to visit a. Standard Deviation b. Mean C. variance d. Range the country. The following is the probability distribution of the number of tourist arrival daily coming Which of the following is a discrete random variable? through the airport. a. The average amount of electricity consumed No. of tourist (X) 0 N 4 5 b. A Philippine Tarsier weighs between 2.8 and 5.8 ounces Probability P(X) 0.04 0.10 0.20 0.36 0.1 N C. The number of patients in a hospital d. The average weight of female athletes 13. What is the expected number of tourist arrival on the average? 4. If two coins are tossed, which is not the possible value of the random variable for the number of a. 2 0. 3 C. 4 d. 5 heads? 14. What is the variance in the number of tourist arrival? a. 0 b. 1 C. 2 d. 3 a. 0.27 b. 1.27 c. 0.62 d. 1.61 5. It is the sum of all the probabilities of all values of the random variable. 15. What is the standard deviation in the number of tourist arrival? a. 0 b. 1 c. 2 d. 3 6. Which of the following is not a true statement? a. 0.52 b. 1.27 c. 0.79 d. 1.37 The value of the random variable could be zero. Random variables can only have one value. Direction. State/Write whether the variable is discrete or continuous. The probability of the value of a random variable could be zero. The speed of a jet airplane d. The sum of all probabilities in a probability distribution is always equal to one. The number of cheeseburgers a fast-food restaurant serves each day Given the tables below, identify which of them represents a probability distribution. 3. The number of people who play the state lottery each day J 3 5 7 4. The weight of an automobile 10 1 2 P(X 0.3 0.2 0.4 -0.7 The time it takes to have a medical physical exam PIX 1/8 3/8 2/8 6. The number of mathematics majors in your school 7. The blood pressure of all patients admitted to a hospital on a specific day 8 12 10 The number of books in the library 2/3 1/6 PIX -0.6 15 P(X 9. The lifetime in hours of 15 flashlights 8. If P(X]= X/6, what are the 10. The number of tourists each day in a museum possible values of X for it to be a probability distribution? a. 0.2.3 b. 1,2.3 C. 2.3.4 d. 1,1,2 Direction: Find the (a) mean, (b) variance and (c) standard deviation. Show your solution. 9. Which formula gives the probability distribution as shown by the table? (15 points) 2 3 6 P(X) 1/2 1/3 1/6 Number of Televisions per Household. A study conducted by a TV station showed the number of a. P(X) = 1/X b. P(X) = 6/X C. P(X) = X/6 d. P(X) = 1/6 televisions per household and the corresponding probabilities for each. 10. The probability of each value of the random variable must be a. -1 s P(X] s 1 b. O s P(X) $ 1 C. P(X) $ 1 d. -1 s P(X] so Number of Probability (X) Televisions (X) 0.32 For numbers 11-12, refer to the probability distribution below. 0.51 4 6 8 0.12 P(X) 1/5 1/5 1/5 1/5 1/5 0.05 11. What is the mean of the probability distribution? 1.5 b. 2.0 C. 3.5 d. 4.0
