Determine whether each of the following experiments/situations involved discrete or a continuous random variable

1. Choosing an even number less than 100.

2. Tallying the number of households in a subdivision that has a least one vehicle.

3. Gathering information about the average monthly income of a household

4. Teacher applicants in the Division of Quezon.

5. Recording the number of patients who recovered from COVID-19.

Two cards are drawn from a deck. How many possible values can each of the

following variables take?

1. sum of the numbers on the cards

2. number of times both cards are black

3. Number of times both cards are 7s

4. Number of times the first card is six and the second card is red

5. Number of times the first card is face card and the second card is not a face card

Answer the following. An umbrella - check girl returns 2 umbrellas at random to 2 customers who had previously checked in, namely Andrea and Althea. If Andrea's umbrella was black and Althea's umbrella was Yellow: 1. list the elements of the sample space, S - all possible orders in which the umbrellas can be returned, and; 2. list all possible values of the random variable X, the number of correct matches.1. What is the sum of the probabilities of all values of the random variable? A. EP(X)) = 0 B. EP(X)) = 1/10 C. EP(X)) = 1 D. EP(X)) = 10 Refer to the given problem in answering numbers 2-3 2. If two balls are drawn in succession without replacement from an urn containing 5 red balls and 6 blue balls. If the value of the random variable X represents the number of blue balls, what is the probability of getting two blue balls? A. 1/8 B. 1/4 C. 1/3 D. 1/2 3. Which probability distribution represents the given problem? A. X 0 1 2 P(X) 1/2 1/4 1/4 B. X 0 2 P(X) 1/4 1/2 1/4 C. X O 1 2 3 P(X) 1/8 3/8 3/8 1/8 D. X 0 1 2 3 P(X) 3/8 1/8 3/8 1/84. What must be the value of the probability of each random variable? A. P(X) 2 0 B. -1S P(X)