Which among the following variable is considered a Discrete variable?1 pointgenderno. of books read in a montheducational attainment

Consider the following statements about a particular traditional class of statistics students at State U related to discrete and continuous variables. Which of the following is a true statement? Check all that apply.Group of answer choicesThe room number of the class is a continuous variable variable.The average weight of the students is a discrete variable.The average age of the students in the class is a continuous variable.A student's GPA is a continuous variable.The number of students in the class is a discrete variable.

For each variable, determine whether it is best thought of as discrete or continuous.Variable Discrete Continuous(a) The score (either 0, 1, 2, or 3 with 0 being the worst and 3 being the best) given by a quality-control manager after an equipment inspection (b) The fuel efficiency, in miles per gallon, of an American-made car (c) The number of personal telephone calls made tomorrow at Bingley Corporation (d) The number of damaged chromosomes on a petri dish following irradiation

Which of the following pairs of data include one discrete and one continuous variable?Weight and height of a class of students.Weight of sugar and volume of milk in a cake recipe.Number of pages and number of words in a book.Duration of a game of chess and the number of moves to check-mate.

Which one of the following variables is a discrete numerical variable?The length of bananas in a basket.The speed of racing cars on the track in a race.The score out of 100 for a test.The distance of drives that a professional golfer has hit in a practice.

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