Data Description, Collection, and Sampling

1. If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal distribution.) A. 2.1% B. 4.5% C. 0.3% D. 4.2% 2. The probability of an offender having a speeding ticket is 35%, having a parking ticket is 44%, having both is 12%. What is the probability of an offender having either a speeding ticket or a parking ticket or both? A. 67% B. 79% C. 55% D. 91% 3. A breeder records probabilities for two variables in a population of animals using the two-way table given here. Let A be the event "shaggy and brown-haired." Compute P(Ac). Brown-haired Blond Short-haired 0.06 0.23 Shaggy 0.51 0.20 A. 0.49 B. 0.77 C. 0.51 D. 0.36 4. A basketball team at a university is composed of ten players. The team is made up of players who play the position of either guard, forward, or center. Four of the ten are guards, four are forwards, and two are centers. The numbers that the players wear on their shirts are 1, 2, 3, and 4 for the guards; 5, 6, 7, and 8 for the forwards; and 9 and 10 for the centers. The starting five are numbered 1, 3, 5, 7, and 9. Let a player be selected at random from the ten. The events are defined as follows: Let A be the event that the player selected has a number from 1 to 8. Let B be the event that the player selected is a guard. Let C be the event that the player selected is a forward. Let D be the event that the player selected is a starter. Let E be the event that the player selected is a center. Calculate P(C). A. 0.50 B. 0.40 C. 0.80 D. 0.20 5. The Burger Bin fast-food restaurant sells a mean of 24 burgers an hour and its burger sales are normally distributed. The standard deviation is 3.061. What is the probability that the Burger Bin will sell 12 to 18 burgers in an hour? A. 0.342 B. 0.136 C. 0.475 D. 0.239 6. Assume that an event A contains 10 observations and event B contains 15 observations. If the intersection of events A and B contains exactly 3 observations, how many observations are in the union of these two events? A. 10 B. 28 C. 0 D. 22 7. If the probability that an event will happen is 0.3, what is the probability of the event's complement? A. 0.7 B. 0.3 C. 1.0 D. 0.1 8. What is the value of ? A. 1.6 B. 56 C. 336 D. 6720 9. The possible values of x in a certain continuous probability distribution consist of the infinite number of values between 1 and 20. Solve for P(x = 4). A. 0.02 B. 0.00 C. 0.03 D. 0.05 10. Tornadoes for January in Kansas average 3.2 per month. What is the probability that, next January, Kansas will experience exactly two tornadoes? A. 0.2226 B. 0.1304 C. 0.4076 D. 0.2087 11. From an ordinary deck of 52 playing cards, one is selected at random. What is the probability that the selected card is either an ace, a queen, or a three? A. 0.2308 B. 0.3 C. 0.25 D. 0.0769 12. If event A and event B are mutually exclusive, P(A or B) = A. P(A) + P(B). B. P(A) + P(B) – P(A and B). C. P(A + B). D. P(A) – P(B). 13. Each football game begins with a coin toss in the presence of the captains from the two opposing teams. (The winner of the toss has the choice of goals or of kicking or receiving the first kickoff.) A particular football team is scheduled to play 10 games this season. Let x = the number of coin tosses that the team captain wins during the season. Using the appropriate table in your textbook, solve for P(4 = x = 8). A. 0.817 B. 0.171 C. 0.377 D. 0.246 14. An apartment complex has two activating devices in each fire detector. One is smoke-activated and has a probability of .98 of sounding an alarm when it should. The second is a heat-sensitive activator and has a probability of .95 of operating when it should. Each activator operates independently of the other. Presume a fire starts near a detector. What is the probability that both activating devices will work properly? A. 0.965 B. 0.931 C. 0.049 End of exam D. 0.9895 15. A new car salesperson knows that she sells a car to one customer out of 20 who enter the showroom. Find the probability that she'll sell a car to exactly two of the next three customers. A. 0.0075 B. 0.9939 C. 0.1354 D. 0.0071 16. For each car entering the drive-through of a fast-food restaurant, x = the number of occupants. In this study, x is a A. continuous quantitative variable. B. discrete random variable. C. dependent event. D. joint probability. 17. Which of the following is correct concerning the Poisson distribution? A. The mean is usually smaller than the variance. B. The mean is usually larger than the variance. C. The event being studied is restricted to a given span of time, space, or distance. D. Each event being studied must be statistically dependent on the previous event. 18. A continuous probability distribution represents a random variable A. having an infinite number of outcomes that may assume any number of values within an interval. B. that's best described in a histogram. C. that has a definite probability for the occurrence of a given integer. D. having outcomes that occur in counting numbers. 19. The area under the normal curve extending to the right from the midpoint to z is 0.17. Using the standard normal table on the textbook's back endsheet, identify the relevant z value. A. 0.44 B. –0.0675 C. 0.4554 D. 0.0675 20. Using the standard normal table in the textbook, determine the solution for P(0.00 = z = 2.01). A. 0.4821 B. 0.1179 C. 0.0222 D. 0.4778

   Related Questions in Basic Statistics

  • Q : Networks of queues Networks of queues •

    Networks of queues

    • Typically, the flow of customers/request through a system may involve a number of different processing nodes.

    – IP packets through a computer network
    – Orders through a manufactur

  • Q : Variance and standard error A hospital

    A hospital treated 412 skin cancer patients over a year. Of these, 197 were female.

    Give the point estimate of the proportion of females seeking treatment for skin cancer.

    Give estimates of the

  • Q : FIN512 Entrepreneurial Finance Chapter


    Chapter 6: Discussion Question: #4 p. 223 

    It is usually easier to forecast sales for a seasoned firm contrast to an early-stage venture because an early-stage venture has limited access to bank credit lines, sho

  • Q : Compute two sample standard deviations

    Consider the following data for two independent random samples taken from two normal populations.

    Sample 1 14 26 20 16 14 18

    Sample 2 18 16 8 12 16 14

    a) Com

  • Q : Regression Analysis 1. A planning

    1. A planning official in the Texas Department of Community Affairs, which works in the office next to you, has a problem. He has been handed a data set from his boss that includes the costs involved in developing local land use plans for communities wi

  • Q : Point of estimate standing data se to

    standing data se to develop a point of estimate

  • Q : What is your conclusion The following

    The following data were collected on the number of emergency ambulance calls for an urban county and a rural county in Florida. Is County type independent of the day of the week in receiving the emergency ambulance calls? Use α = 0.005. What is your conclusion?

    Day of the Week<

  • Q : Average think time Software monitor

    Software monitor data for an interactive system shows a CPU utilization of 75%, a 3 second CPU service demand, a response time of 15 seconds, and 10 active users. Determine the average think time of these users?

  • Q : Data Description 1. If the mean number

    1. If the mean number of hours of television watched by teenagers per week is 12 with a standard deviation of 2 hours, what proportion of teenagers watch 16 to 18 hours of TV a week? (Assume a normal distribution.) A. 2.1% B. 4.5% C. 0.3% D. 4.2% 2. The probability of an offender having a s

  • Q : Get Solved LP Problems Solve Linear

    Solve Linear Programming Questions

    A producer manufactures 3 models (I, II and III) of a particular product. He uses 2 raw materials A and B of which 4000 and 6000 units respectively are obtainable. The raw materials per unit of 3