CHAPTER 1: RANDOM VARIABLES & PROBABILITY DISTRIBUTION STATWORK #1 Name: Grade and Section: |Student No. Date: A. Classify each random variable as either discrete or continuous. .1. The number of arrivals at an emergency room between midnight and 6 AM. .2. The weight of a bax of cereal labeled "1818 ounces." 3. The duration of the next outgoing telephone call from a business office. 4. The number of kernels of popcorn in a 11-pound container. 5. The number of applicants for a job. 6. The time between customers entering a checkout lane at a retail store. 7. The weight of refuse on a truck arriving at a landfill. 8. The number of passengers in a passenger vehicle on a highway at rush hour. 9. The number of clerical errors on a medical chart. 10. The number of accident-free days in one month at a factory.

• A) Given the data Pulse Rate (beats per minute) Mean St. Dev. Distribution Males 69.6 11.3 Normal Females 74.0 12.5 Normal a. Find the probability that a female has a pulse rate less than 60 beats per minute. b. Find the probability that a male has a pulse rate grater than 80 beats per minute. c. Find the probability that a m ale has a pulse rate between 65 beats per minute and 85 beats per minute. • B) Snow White. Disney World required that women employed as a Snow White character must have a height between 64 in and 67 in o Find the percentage of women meeting the height requirement o If the height requirements are changed to exclude the shortest 40% of women and the tallest 5% of women, what are the new height requirements?

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time required to download a file from the Internet b. The height of a randomly selected giraffe c. The eye color of people on commercial aircraft flights d. The number of free-throw attempts before the first shot is made e. The amount of rain in City B during April f. The number of hits to a website in a day a. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable. b. Is the height of a randomly selected giraffe a discrete random variable, a continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable c. Is the eye color of people on commercial aircraft flights a discrete random…

The Census Bureau gives this distribution for the number of people in American households in 2016. Family size 1 2 4 6. 7 Proportion 0.28 0.35 0.15 0.13 0.06 0.02 0.01 Note: In this table, 7 actually represents households of size 7 or greater. But for purposes of this exercise, assume that it means only households of size exactly 7. Suppose you take a random sample of 4000 American households. About how many of these households will be of size 2? Sizes 3 to 7? The number of households of size 2 is about The number of households of size 3 to 7 is about