A jar has 13 candies where six of the candies are red, and seven candies are green. Imagine in a first draw, eight candies are randomly picked from the jar. We are interested in the number of green candies in that first draw. Which words clearly define the random variable X here?Question 3Answera.X = the number of green candies in the first draw.b.X = the number of red candies in the first draw.c.X = the number of green and

A jar has 13 candies where six of the candies are red, and seven candies are green. Imagine in a first draw, eight candies are randomly picked from the jar. We are interested in the number of green candies in that first draw. What is the distribution of X?Question 4Answera.X ~ B (7, 6, 8)b.X ~ H (7, 6, 8)c.X ~ G (7, 6, 8)

A jar has 13 candies where six of the candies are red, and seven candies are green. Imagine in a first draw, eight candies are randomly picked from the jar. We are interested in the number of green candies in that first draw. What is the list of values X may take on?Question 2Answera.0, 1, 2, 3, 4, 5, 6, 7b.1, 2, 3, 4, 5, 6, 7c.2, 3, 4, 5, 6, 7, 8

A jar has 13 candies where six of the candies are red, and seven candies are green. Imagine in a first draw, eight candies are randomly picked from the jar. We are interested in the number of green candies in that first draw. How many green candies do we expect to be in that first draw?Question 1Answera.2b.7c.4.31

A candy jar contains the following candies:  7 cherry, 3 lemon, 4 lime, 6 orange.  TWO (2) candies are drawn WITH REPLACEMENT.  Use this information to answer questions #1 - 3.1)  P(BOTH orange) =1 pointYour answer2)  P(cherry AND lime) =1 pointYour answer3)  P(lemon on the 2nd draw GIVEN THAT the first draw was orange) =1 pointYour answer

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