RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS

Learning Activity No. 3 Refer to Activity No. 2, Construct a probability histogram of the numbers 1-3,A. Classify the following random variables as discrete or continuous. 1. X= the number of mobile phones sold in one week in AB store 2. Y= the weights in pounds of newly born babies in a hospital nursery 3. X= the number of cars in a parking lot every noon 4 Y= the number of gifts received by a birthday celebrator 5. X= the length of time spent in playing video games in minutes 6. Y= the number of students enrolled in Grade 11 in your school 7. P= the number of points scored in a basketball game 8. Q= the number of employees in a call center who are Bachelor of Science in Nursing graduates 9. P= the heights of varsity players in your school in meters 10. Q= the number of books you borrowed in the library during your elementary yearsDirections: A random variable X has the following probability distribution, find the missing value. You can use the back portion of this page or another sheet for your answer. You must SHOW your solution. X 1 2 3 4 5 P(x) 1/15 k/15 k/5 4/15 k/15 2. BUT X 1 2 3 4 5 P(x) 0. 1 0.25 0. 125k 0.20 0.025k 3 X 1 2 3 4 5 P(x) 1/6 a/6 5/24 a/6 a/12 4. X 1 2 3 4 5 P(x) d/25 1/5 9/25 2d/25 2/25 5. X 1 2 3 4 P(x) 2/25 5 0.24 2/5 0.16 3/5dA. Which of the following are discrete probability distributions? If it is not a discrete probability distribution, identify the property or properties that are not satisfied. X 1 2 3 4 5 P(x) 0.10 0.20 0.25 0.40 0.05 2. X 1 3 4 5 P(x) 0.05 0.25 0.33 0.28 0.08 3. X 2 3 4 5 P(x) 0.08 0.25 0.34 0.31 0.04 4 X 1 2 3 4 5 P(X) 0.03 0.22 1.01 0.23 0.02 5 X 1 2 3 P(x) 4 5 0.05 0.27 0.34 0.28 0.06