Distinguish between discrete and continuous random variables

Are the following examples; the return on a mutual fund, time to completion of a task, or the volume of beer sold as 16 ounces, examples of continuous or discrete random variables?Multiple choice question.They can be discrete or continuousNeitherDiscreteContinuous

Which of the following is/are discrete random variables?Number of tires produced in an automotive tire factory every 30 minutes.The number of kernels(pieces) of popcorn in a  1𝑘𝑔1kg container.The time between customers entering a checkout lane at a retail store.The amount of rain recorded at an airport one day.The amount of liquid in a 2𝑙𝑖𝑡𝑟𝑒𝑠2litres bottle of soft drink.The number of no-shows for every 10001000 reservations made with a commercial airline.

1. The sum of all probabilities of a discrete random variable X is equal to __________.A. 0 B. 1 C. 2 D. 3______2. A random variable is ____ if its set of possible outcomes is countable.A. discrete B. continuous C. interval D. ratio______3. Which of the following is a continuous random variable?A. Philippine population B. SHS students C. temperature D. daily budget______4. Which of the following is more variable, that is the values of random variable are farther from the mean?A. Var(X) = 1.2 B. Var(X) = 2.01 C. Var(X) = 2.98 D. Var(X) = 3.10______5. Expected value of random variable X is also known as which of the following?A. Standard Deviation B. Variance C. Mean D. Median______6. In a probability distribution, one of the values of random variable X has a negative probability, and thesum of all probabilities is one. Which of the following is True?A. It is a pmf B. It is not a pmf C. Both A and B D. Neither A nor B______7. Which of the following is a discrete random variable?A. weight of grade 1 pupils C. monthly incomeB. volume of water D. acceleration of a car______8. If x is not an element of the Support S of the random variable X, then the probability of that x is ____.A. Negative B. 0 C. 0 < 𝑃(𝑥) < 1 D. 1______9. A player draws a card at random from a standard deck of 52 cards. If the card drawn is red, the playerswins 1,000.00 but if it is black, he loses the same amount. What is the expected value of the game?A. 0 B. 1 C. 2 D. – 1______10. It is a table that gives a list of probability values along with their associated value in the range of adiscrete random variable.A. Probability distribution B. PMF C. Both A and B D. Neither A nor B______11. Which of the following is the area under the normal curve?A. 0 B. 1 C. 2 D. 3______12. The curve is symmetrical to which of the following?A. mean B. variance C. area D. SD______13. If the z-value is 0.42, what is the area?A. 0.0800 B. 0.0279 C. 0.1628 D. 0.3129______14. Find the area if the value of 𝑧 = −0.13.A. 0.0248 B. 0.0517 C. 0.1398 D. 0.2467______15. If the area is 0.4977, what is the z-value?A. 1.63 B. 1.97 C. 2.01 D. 2.83______16. Find the area between 𝑧 = −1 and 𝑧 = −3.A. 0.8300 B. 0.8350 C. 0.8400 D. 0.8450______17. Find the area between 𝑧 = −1.5 and 𝑧 = −1.3.A. 0.0100 B. 0.0200 C. 0.0300 D. 0.0400______18. If the area is 0.8351, what are the two values of z.A. 𝑧 = 0.24 and 𝑧 = 0.13 C. 𝑧 = −0.13 and 𝑧 = −1.3B. 𝑧 = 1.6 and 𝑧 = 2.1 D. 𝑧 = −2.5 and 𝑧 = 1______19. Find the area of the proportion in the probability notation 𝑃(1 < 𝑧 < 3).A. 0.1573 B. 0.1524 C. 0.1575 D. 0.1576______20. Solve for the proportion of the area of the probability notation 𝑃(𝑧 > 1)A. 0.1585 B. 0.1586 C. 0.1587 D. 0.1588______21. Find the area of the proportion in the probability notation 𝑃(> −2.5).A. 0.9937 B. 0.9934 C. 0.9936 D. 0.9938

Which of the following random variable that take on only a countable number of possibilities?(1 Point)DiscreteNon discreteContinuousAll of the above

Daily rainfall is an example of what type of data random variable? Discrete Continuous