Rolling Two Dice

Using the sample space for rolling two dice, illustrates a probability distribution for the random variable X representing the sum of the numbers that appear.

Number of Girls

Let X be a random variable giving the number of girls in a randomly selected three child family. Assuming that boys and girls are equally likely to be selected, illustrate the probability distribution of a random variable X.

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.Face Mask Julia is a boutique shop owner in her town. Due to COVID-19 pandemic, wearing a face mask of a person is required for their safety. Since there are limited stocks available, she decided to start another business by making a face mask. She started selling face masks from day 1 to day 10. The data she collected is shown in the table below. Illustrate a probability distribution of a random variable X showing the number of face mask sold per day and its corresponding probabilities. Day Number of Face Mask (X) 25 2 20 3 15 4 14 5 15 6 10 12 8 10 15 10 14Give your answer in the following statements. 1. It is the list of possible values of a random variable X and the corresponding probabilities of the values._ 2. What is the sum of all the probabilities of all values of the random variable? 3. What should be the probability of each value of the random variable? Write your answer in symbol. 4. How will you determine if the given distribution is a probability distribution? 5. Enumerate the steps on how to illustrate the probability distribution of a discrete random variable by completing the statements given below. Determine first the space in the given experiment. Then, find the possible values of the Illustrate the probability distribution by assigning to each value of the random variable.COVID -19 Recoveries The ongoing pandemic of corona virus disease 2019, a novel infectious disease caused by severe acute respiratory syndrome was spread in the Philippines on January 30, 2020. Thousands of people in the country tested positive in this virus, and some of them recovered from the disease. The following table shows the number of recoveries from April 24-May 3, 2020. Date Number of Recoveries X April 24 40 April 25 30 April 26 70 April 27 70 April 28 43 April 29 48 April 30 20 May 1 41 May 2 40 May 3 90 a. Illustrate the probability distribution if X is the random variable that represents the number of recoveries. b. What safety precautions will you undertake to help avoid the spread of the COVID-19 pandemic?Choose the letter of the best answer. Write the chosen letter on a separate sheet of paper. 1. What must be the value of the probability of each random variable? A. P(X) 2 0 B. OK P(X)