Which is a continuous random variable?Y = "the arrival time of a school bus"W = "lottery winners in the past 10 years"Z = "the number of twins born in the USA last year"X = "the number of blue feathers on a Macaw Parrot"

Which one of the following random variables are continuous? Check all that applies.Group of answer choicesThe weight of a hummingbird.The length of a Beatles songThe number of phone calls to an office on any given dayThe number of eggs used at a breakfast place on any given dayThe time it takes to cut a person’s hair

Which is a discrete random variable?Y = "height of an emperor penguin on Antarctica"Z = "results of flipping two coins"X = "weight of the microprocessor inside your computer"W = "exact time it takes for a computer to update its software"

The number of patrons arriving at a restaurant between 5:00 p.m. and 6:00 p.m is a continuous random variable.Group of answer choicesTrueFalse

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 is a discrete data random variable? The volume of water in a swimming pool each day Cars finished in a factory each day A person's height each birthday A person's weight on each year