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.

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.

1. Tossing Four Coins

Suppose that a coin is to be tossed four times, and let X represent the number of tails that occur. Illustrate a probability distribution for a random variable X.

2.Spin and Add

A spinner has 3 equal sections that are labeled 1,2,and 3. If the spinner spins twice, find the sum of the two numbers it lands on. Let X be the random variable that represents the sum of the two numbers.

a. List all sample spaces and identify how many they are.

b. Let X be the random variable that represents of X?the sum of two numbers. What are the possible values c. Illustrate a probability distribution for a random variable X.

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